This handy Spectrum Math Grade 4 Answer Key Chapters 1-9 Final Test provides detailed answers for the workbook questions.
Spectrum Math Grade 4 Chapters 1-9 Final Test Answers Key
Add.
Question 1.
a.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add 21 with 15 the sum is equal to 36.
b.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given four-digit number 1932 with two-digit number 32 the sum is equal to 1964.
c.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given three-digit number 718 with two-digit number 72 the sum is equal to 790.
d.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given three-digit number 247 with two-digit number 38 the sum is equal to 285.
e.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given four-digit number 1005 with two-digit number 49 the sum is equal to 1054.
Question 2.
a.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given four-digit number 2498 with another four-digit number 1832 the sum is equal to 4330.
b.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given three-digit number 787 with another three-digit number 193 the sum is equal to 980.
c.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given four-digit number 6918 with another four-digit number 5832 the sum is equal to 12750.
d.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given three-digit number 957 with two-digit number 98 the sum is equal to 1055.
e.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given four-digit number 2950 with three-digit number 709 the sum is equal to 3659.
Question 3.
a.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given five-digit number 25765 with four-digit number 5403 the sum is equal to 31168.
b.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given four-digit number 7864 with another four-digit number 3258 the sum is equal to 11122.
c.
Answer:
Explanation:
Perform addition operation on above three given numbers. Add given five-digit number 20048 with four-digit number 7212 and three- digit number 500 the sum is equal to 27760.
d.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given five-digit number 18970 with four-digit number 2718 the sum is equal to 21688.
e.
Answer:
Explanation:
Perform addition operation on above two given numbers. Add given five-digit number 50908 with four-digit number 7312 and another four-digit number 8903 the sum is equal to 67123.
Subtract.
Question 4.
a.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract 7 from 98 the difference is equal to 91.
b.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract 8 from 87 the difference is equal to 79.
c.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract 6 from 54 the difference is equal to 48.
d.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract 9 from 48 the difference is equal to 39.
e.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract 7 from 60 the difference is equal to 53.
Question 5.
a.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract 178 from 705 the difference is equal to 527.
b.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given three-digit number 736 from four-digit number 6005 the difference is equal to 5269.
c.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given four-digit number 5600 from another four-digit number 7132 the difference is equal to 1532.
d.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given four-digit number 7432 from another four-digit number 9568 the difference is equal to 2136.
e.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given three-digit number 445 from another three-digit number 900 the difference is equal to 455.
Question 6.
a.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given two-digit number 32 from three-digit number 461 the difference is equal to 429.
b.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given two-digit number 72 from four-digit number 1353 the difference is equal to 1281.
c.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given two-digit number 23 from three-digit number 777 the difference is equal to754.
d.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given three-digit number 518 from four-digit number 2525 the difference is equal to 2007.
e.
Answer:
Explanation:
Perform subtraction operation on above two given numbers. Subtract given two-digit number 87 from three-digit number 905 the difference is equal to 818.
Multiply.
Question 7.
a.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 78 with 9 the product is equal to 702.
b.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 56 with 8 the product is equal to 448.
c.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 97 with 9 the product is equal to 873.
d.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 48 with 8 the product is equal to 384.
e.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 25 with 9 the product is equal to 225.
Question 8.
a.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 98 with 98 the product is equal to 9604.
b.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 78 with 15 the product is equal to 1170.
c.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 48 with 36 the product is equal to 1728.
d.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 77 with 54 the product is equal to 4158.
e.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 83 with 27 the product is equal to 2241.
Question 9.
a.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 702 with 6 the product is equal to 4212.
b.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 389 with 8 the product is equal to 3112.
c.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 215 with 8 the product is equal to 1720.
d.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 247 with 2 the product is equal to 494.
e.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 509 with 8 the product is equal to 4072.
Question 10.
a.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 7035 with 2 the product is equal to 14070.
b.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 2003 with 2 the product is equal to 4006.
c.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 3972 with 8 the product is equal to 31776.
d.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 5931 with 4 the product is equal to 23724.
e.
Answer:
Explanation:
Perform multiplication operation on above two given numbers. Multiply 2450 with 5 the product is equal to 12250.
Divide.
Question 11.
a.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 45 by 3 the quotient is equal to 15 and remainder is equal to 0.
b.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 72 by 9 the quotient is equal to 8 and remainder is equal to 0.
c.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 40 by 4 the quotient is equal to 10 and remainder is equal to 0.
d.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 94 by 5 the quotient is equal to 18 and remainder is equal to 4.
e.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 85 by 5 the quotient is equal to 17 and remainder is equal to 0.
Question 12.
a.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 493 by 6 the quotient is equal to 82 and remainder is equal to 1.
b.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 873 by 3 the quotient is equal to 291 and remainder is equal to 0.
c.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 875 by 7 the quotient is equal to 125 and remainder is equal to 0.
d.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 987 by 5 the quotient is equal to 197 and remainder is equal to 2.
e.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 800 by 8 the quotient is equal to 100 and remainder is equal to 0.
Question 13.
a.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 2598 by 7 the quotient is equal to 371 and remainder is equal to 1.
b.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 5282 by 2 the quotient is equal to 2641 and remainder is equal to 0.
c.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 5631 by 6 the quotient is equal to 938 and remainder is equal to 3.
d.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 9637 by 4 the quotient is equal to 2409 and remainder is equal to 1.
e.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 2515 by 5 the quotient is equal to 503 and remainder is equal to 0.
Question 14.
a.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 9832 by 6 the quotient is equal to 1638 and remainder is equal to 4.
b.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 5000 by 8 the quotient is equal to 625 and remainder is equal to 0.
c.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 7004 by 5 the quotient is equal to 1400 and remainder is equal to 4.
d.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 5111 by 7 the quotient is equal to 730 and remainder is equal to 1.
e.
Answer:
Explanation:
Perform division operation on above two given numbers. Divide 9860 by 8 the quotient is equal to 1230 and remainder is equal to 0.
Write each number in expanded form.
Question 15.
a.
2,337
Answer:
The expanded form of a given number 2,337 is 2,000 + 300 + 30 + 7.
b.
397
Answer:
The expanded form of a given number 397 is 300 + 90 + 7.
Question 16.
a. 55,608
Answer:
The expanded form of a given number 55,608 is 50,000 + 5,000 + 600 + 8.
b. 69,735
Answer:
The expanded form of a given number 69,735 is 60,000 + 9,000 + 700 + 30 + 5
Round each of the numbers to the place of the underlined number.
Question 17.
a. 103,467
Answer:
103,500
Explanation:
Given number is 103,467.
Here we are rounding to the underlined number, which is in hundreds place, so we have to consider the tens place value.
The number at the tens place is 6.
The number which is equal to 5 or above we have to round up the value.
The number which is below 5 we have to round down the value.
The number at the tens place is 6, which is above 5. So, round up the value as 103,500.
Rounded 103,467 as 103,500.
b. 1785,302
Answer:
2,000,000
Explanation:
Given number is 1785,302.
Here we are rounding to the underlined number, which is in ten lakhs place, so we have to consider the lakhs place value.
The number at the lakhs place is 7.
The number which is equal to 5 or above we have to round up the value.
The number which is below 5 we have to round down the value.
The number at the lakhs place is 7, which is above 5. So, round up the value as 2,000,000.
Rounded 1785,302 as 2,000,000.
Question 18.
a. 23,456
Answer:
23,000
Explanation:
Given number is 23,456.
Here we are rounding to the underlined number, which is in thousands place, so we have to consider the hundreds place value.
The number at the hundreds place is 4.
The number which is equal to 5 or above we have to round up the value.
The number which is below 5 we have to round down the value.
The number at the hundreds place is 4, which is below 5. So, round down the value as 23,000.
Rounded 23,456 as 23,000.
b. 575
Answer:
580
Explanation:
Given number is 575.
Here we are rounding to the underlined number, which is in tens place, so we have to consider the units place value.
The number at the units’ place is 5.
The number which is equal to 5 or above we have to round up the value.
The number which is below 5 we have to round down the value.
The number at the unit’s place is 5, which is equal to 5. So, round up the value as 580.
Rounded 575 as 580.
Write >, <, or = to compare the following.
Question 19.
a. 325 
225
Answer:
325 
225
Explanation:
The number 325 is greater than the number 225.
b. 12,700 12,703
Answer:
12,700 
12,703
Explanation:
The number 12,700 is less than the number 12,703.
c. 164,000 146,000
Answer:
164,000 
146,000
Explanation:
The number 164,000 is greater than the number146,000.
Add or subtract.
Question 20.
a. \(\frac{5}{6}\) + \(\frac{1}{6}\) = ______________
Answer:
\(\frac{5}{6}\) + \(\frac{1}{6}\) = (5 + 1)/6 = \(\frac{6}{6}\) = 1
Explanation:
Perform addition operation on above two given fractions. Add \(\frac{5}{6}\) with \(\frac{1}{6}\) the sum is equal to 1.
b. \(\frac{7}{12}\) + \(\frac{3}{12}\) = _______________
Answer:
\(\frac{7}{12}\) + \(\frac{3}{12}\) = (7 + 3)/12 = \(\frac{10}{12}\)
Explanation:
Perform addition operation on above two given fractions. Add \(\frac{7}{12}\) with \(\frac{3}{12}\) the sum is equal to \(\frac{10}{12}\).
c. \(\frac{6}{8}\) + \(\frac{4}{8}\) = ______________
Answer:
\(\frac{6}{8}\) + \(\frac{4}{8}\) = (6 + 4)/8 = \(\frac{10}{8}\)
Explanation:
Perform addition operation on above two given fractions. Add \(\frac{6}{8}\) with \(\frac{4}{8}\) the sum is equal to \(\frac{10}{8}\).
Complete each equivalent fraction.
Question 21.
a. \(\frac{8}{32}\) = \(\frac{}{4}\)
Answer:
\(\frac{8}{32}\) = \(\frac{1}{4}\)
Explanation:
The given fraction is 8/32. Divide numerator and denominator with 8. The equivalent fraction for 8/32 is 1/4. The missing numerator is 1.
b. \(\frac{1}{10}\) = \(\frac{}{40}\)
Answer:
\(\frac{1}{10}\) = \(\frac{4}{40}\)
Explanation:
The given fraction is 1/10. Multiply numerator and denominator with 4. The equivalent fraction for 1/10 is 4/40. The missing denominator is 4.
c. \(\frac{4}{100}\) = \(\frac{1}{}\)
Answer:
\(\frac{4}{100}\) = \(\frac{1}{25}\)
Explanation:
The given fraction is 4/100. Divide numerator and denominator with 4. The equivalent fraction for 4/100 is 1/25. The missing denominator is 25.
Write >, <, or = to compare the following.
Question 22.
a. \(\frac{3}{8}\) \(\frac{10}{12}\)
Answer:
\(\frac{3}{8}\) 
\(\frac{10}{12}\)
Explanation:
The given fraction \(\frac{3}{8}\) is less than the fraction \(\frac{10}{12}\).
b. \(\frac{3}{12}\) \(\frac{1}{3}\)
Answer:
\(\frac{3}{12}\) 
\(\frac{1}{3}\)
Explanation:
The given fraction \(\frac{3}{12}\) is less than the fraction \(\frac{1}{3}\).
c. \(\frac{3}{6}\) \(\frac{4}{8}\)
Answer:
\(\frac{3}{6}\) 
\(\frac{4}{8}\)
Explanation:
The given fraction \(\frac{3}{6}\) is equal to the fraction \(\frac{4}{8}\).
Write the decimal equivalent to the given fraction.
Question 23.
a. \(\frac{8}{10}\) = ____________
Answer:
\(\frac{8}{10}\) = 0.8
Explanation:
The decimal equivalent to the given fraction \(\frac{8}{10}\) is 0.8.
b. \(\frac{7}{100}\) = _____________
Answer:
\(\frac{7}{100}\) = 0.07
Explanation:
The decimal equivalent to the given fraction \(\frac{7}{100}\) is 0.07.
c. \(\frac{3}{10}\) = _____________
Answer:
\(\frac{3}{10}\) = 0.3
Explanation:
The decimal equivalent to the given fraction \(\frac{3}{10}\) is 0.3.
d. \(\frac{6}{10}\) = _______________
Answer:
\(\frac{6}{10}\) = 0.6
Explanation:
The decimal equivalent to the given fraction \(\frac{6}{10}\) is 0.6.
Complete the following.
Question 24.
a. 36 in. = ______________ yd.
Answer:
36 in. = 1 yd
Explanation:
We know that 1 yard is equal to 36 inches.
b. 7 cm = _______________ mm
Answer:
7 cm = 70 mm
Explanation:
We know that 1 centimeter is equal to 10 millimeters. Multiply 7 with 10 the product is equal to 70 millimeters.
c. 5 T. = _______________ lb.
Answer:
5 T. = 10,000 lb.
Explanation:
We know that 1 metric ton is equal to 2,000 Pound. Multiply 5 with 2,000 the product is equal to 10,000 lb.
Question 25.
a. 12 c. = ______________ pt.
Answer:
12 c. = 6 pt.
Explanation:
We know that 1 cup is equal to 0.5 pints. Multiply 12 with 0.5 the product is equal to 6 pints.
b. 72 kg = ______________ g
Answer:
72 kg = 72,000 g
Explanation:
We know that 1 kilogram is equal to 1,000 grams. Multiply 72 with 1,000 the product is equal to 72,000 grams.
c. 132 ft. = ______________ yd.
Answer:
132 ft. = 44 yd.
Explanation:
We know that 1 yard is equal to 3 feet. Multiply 44 with 3 the product is equal to 132 feet.
Question 26.
a. 20 m = ______________ mm
Answer:
20 m = 20,000 mm
Explanation:
We know that 1 meter is equal to 1,000 millimeters. Multiply 20 with 1,000 the product is equal to 20,000 millimeters.
b. 14 km = ______________ m
Answer:
14 km = 14,000 m
Explanation:
We know that 1 kilometer is equal to 1,000 meters. Multiply 14 with 1,000 the product is equal to 14,000 meters.
c. 22 l = _______________ mL.
Answer:
22 l = 22,000 mL.
Explanation:
We know that 1 liter is equal to 1,000 milliliters. Multiply 14 with 1,000 the product is equal to 14,000 milliliters.
Find the perimeter of each shape.
Question 27.
a.
_____________ ft.
Answer:
Perimeter of a Triangle = Sum of all sides of a triangle
In the above image we can observe given sides of a triangle. Add all sides of triangle.
Perimeter of a Triangle = 5 ft + 3 ft + 3 ft = 11 ft
Perimeter of a given triangle is equal to 11 feet.
b.
_____________ in.
Answer:
Perimeter of square = 4 x side
Each side of given square is equal to 10 inches.
Perimeter of square = 4 x 10 = 40 inches
Perimeter of given square is equal to 40 inches.
c.
______________ m
Answer:
Given
Width = 15 m
Height = 7 m
Perimeter of Rectangle = 2(width + height)
= 2 x (15 + 7)
= 2 x (22)
= 44 meters
Perimeter of given rectangle is equal to 44 meters.
Find the area of each rectangle.
Question 28.
a.
_____________ sq. ft.
Answer:
Given
Width = 30 ft
Height = 5 ft
Area of Rectangle = Width x height
= 30 x 5
= 150 square feet
Area of given rectangle is equal to 150 square feet.
b.
_____________ sq. cm
Answer:
Given
Width = 22 cm
Height = 8 cm
Area of Rectangle = Width x height
= 22 x 8
= 176 square centimeters
Area of given rectangle is equal to 176 square centimeters.
c.
_____________ sq. in.
Answer:
Given
Width = 10 in
Height = 30 in
Area of Rectangle = Width x height
= 10 x 30
= 300 square inches
Area of given rectangle is equal to 300 square inches.
d.
_____________ sq. mm
Answer:
Given
Width = 82 mm
Height = 25 mm
Area of Rectangle = Width x height
= 82 x 25
= 2,050 square millimeters
Area of given rectangle is equal to 2,050 square millimeters.
Solve the problem.
Question 29.
Mary is putting new trim and new carpeting in her living room. Her living room is a rectangle, with the long sides measuring 20 feet and the short sides measuring 10 feet. Find the perimeter to see how much trim she will need, and find the area to see how much carpeting Mary will need.
A = ________________
P = ________________
Answer:
Width = 20 feet
Height = 10 feet
Area of Rectangle = Width x height
= 20 x 10
= 200 square feet
Area of a rectangle is equal to 200 square feet.
Perimeter of Rectangle = 2(width + height)
= 2 x (20 + 10)
= 2 x (30)
= 60 feet
Perimeter of a rectangle is equal to 60 feet.
Use a protractor to measure each angle.
Question 30.
a.
∠ ____________ = ____________°
Answer:
∠HIJ or ∠JIH = 47°
Explanation:
The angle ∠HIJ is measured by using protractor. The angle is 47 degrees.
b.
∠ ____________ = ____________°
Answer:
∠LMN or ∠NML = 128°
Explanation:
The angle ∠LMN is measured by using protractor. The angle is 128 degrees.
Draw and label a shape with the angle given.
Question 31.
a. ∠KLM
Answer:
Explanation:
The angle ∠KLM is drawn as we can observe in the above image.
b. ∠123
Answer:
Explanation:
The angle ∠123 is drawn as we can observe in the above image.
c. ∠OPQ
Answer:
Explanation:
The angle ∠OPQ is drawn as we can observe in the above image.
Identify each pair of lines as parallel, perpendicular, or intersecting.
Question 32.
a.
Answer:
Type of Lines: Intersecting
Explanation:
The above given pair of lines are intersecting lines. The two given lines are intersecting at one point.
b.
Answer:
Type of Lines: Perpendicular
Explanation:
The above given pair of lines are perpendicular lines. The two given lines are intersecting and forming a right angle at their intersection. Hence those two lines are perpendicular to each other.
c.
Answer:
Type of Lines: Parallel
Explanation:
The above given pair of lines are parallel lines. The two given lines are not intersecting at any point and are always the same distance apart.
Write the next number in the sequence.
Question 33.
a. 45, 48, 51, 
Answer:
45, 48, 51, 
Explanation:
By looking at the given numbers, it’s been noticed that the difference between two consecutive numbers is 3. So, the last number in the given sequence in the question is 51 and so the required next number in the sequence is 51+3=54.
b. 52, 57, 64, 73, 84, ,
Answer:
Explanation:
By looking at the given numbers, it’s been noticed that the difference between first two numbers is 5. The difference between second and third numbers is 7. We’ve noticed that difference between two consecutive numbers is increasing by two from there onwards. So, last number in the given sequence in the question is 84 and the difference between 84 and the number before it (73) is 11. So, 13 should be added to the last number 84 to get the next number in the sequence. So, the next number in the sequence is 84+13=97. To get the next number in the sequence 15 should be added to get the next number in the sequence and it will be 97+15=112.
Question 34.
a. 1245, 1195, 1145,
Answer:
Explanation:
By looking at the given numbers, it’s been noticed that the difference between two consecutive numbers is -50. So, the last number in the given sequence in the question is 1145 and so the required next number in the sequence is 1145 – 50 =1095.
b. , 25, , 75, 100, , 150, 175
Answer:
, 25, 
, 75, 100, 
, 150, 175
Explanation:
By looking at the given numbers, it’s been noticed that the difference between any two consecutive numbers is 25 as the difference between the numbers 75 and 100 is 25 and also the difference between the numbers 150 and 175 is 25. So, the first number should be zero in order to get the difference between first and second numbers as 25. The third number in the given sequence should be 25+25=50. The number after 100 in the sequence will be 100+25=125.
Draw the line (or lines) of symmetry for each figure.
Question 35.
a.
Answer:
Explanation:
The above given figure has only one line of symmetry. So, drawn the line of symmetry.
b.
Answer:
Explanation:
The above given figure has only one line of symmetry. So, drawn the line of symmetry.
c.
Answer:
Explanation:
The above given figure has two lines of symmetry. So, drawn the lines of symmetry.
d.
Answer:
Explanation:
The above given figure has only one line of symmetry. So, drawn the line of symmetry.
Add or subtract. Write answers in simplest form.
Question 36.
a.
Answer:
Explanation:
First add the whole numbers.
3 + 4 = 7
Second add the fractions.
\(\frac{1}{10}\) + \(\frac{9}{10}\) = \(\frac{10}{10}\) = 1
Third add the sum of the fractions to the sum of the whole numbers.
3\(\frac{1}{10}\) + 4\(\frac{9}{10}\) = 7 + 1 = 8
b.
Answer:
Explanation:
First subtract the whole numbers.
6 – 4 = 2
Second subtract the fractions.
\(\frac{3}{5}\) – \(\frac{2}{5}\) = \(\frac{1}{5}\)
Third add the difference of the fractions to the difference of the whole numbers
2 + \(\frac{1}{5}\) = 2\(\frac{1}{5}\)
c.
Answer:
Explanation:
First subtract the whole numbers.
3 – 1 = 2
Second subtract the fractions.
\(\frac{3}{4}\) – \(\frac{1}{4}\) = \(\frac{2}{4}\) = \(\frac{1}{2}\)
Third add the difference of the fractions to the difference of the whole numbers
2 + \(\frac{1}{2}\) = 2\(\frac{1}{2}\)
d.
Answer:
Explanation:
First add the whole numbers.
1 + 6 = 7
Second add the fractions.
\(\frac{5}{7}\) + \(\frac{4}{7}\) = \(\frac{9}{7}\) = 1\(\frac{2}{7}\)
Third add the sum of the fractions to the sum of the whole numbers.
1\(\frac{5}{7}\) + 6\(\frac{4}{7}\) = 7 + 1\(\frac{2}{7}\) = 8 \(\frac{2}{7}\)
Multiply.
Question 37.
a. \(\frac{2}{3}\) × 3 = _______________
Answer:
\(\frac{2}{3}\) × 3 = \(\frac{6}{3}\) = 2
Explanation:
Perform multiplication operation on above two given numbers. Multiply the given fraction \(\frac{2}{3}\) with the number 3 the product is equal to 2.
b. 2 × \(\frac{7}{12}\) = ______________
Answer:
2 × \(\frac{7}{12}\) = \(\frac{7}{6}\) = 1\(\frac{1}{6}\)
Explanation:
Perform multiplication operation on above two given numbers. Multiply the given number 2 with the fraction \(\frac{7}{12}\) the product is equal to 1\(\frac{1}{6}\).
c. 7 × \(\frac{3}{4}\) = _______________
Answer:
7 × \(\frac{3}{4}\) = \(\frac{21}{4}\) = 5\(\frac{1}{4}\)
Explanation:
Perform multiplication operation on above two given numbers. Multiply the given number 7 with the fraction \(\frac{3}{4}\) the product is equal to 5\(\frac{1}{4}\).
d. \(\frac{4}{7}\) × 2 = _______________
Answer:
\(\frac{8}{7}\) = 1\(\frac{1}{7}\)
Explanation:
Perform multiplication operation on above two given numbers. Multiply the given fraction \(\frac{8}{7}\) the product is equal to 1\(\frac{1}{7}\).
Write each number sentence. Then, solve each problem. Show your work.
Question 38.
The track team ran 10 miles on Saturday. There are 1,760 yards in a mile. How many yards did the track team run?
_________ =
The track team ran _____________ yards.
Answer:
The track team ran 10 miles on Saturday.
There are 1,760 yards in a mile.
Multiply 1760 with 10 the product is equal to 17,600 yards.
x 
= 
The track team ran 17,600 yards.
Question 39.
A certain type of blue snake can grow to 28 feet. There are 3 of these snakes in the local zoo. How many feet of blue snakes will the zoo have when these 3 are fully grown?
_________ =
The zoo will have __________ feet of blue snakes.
Answer:
A certain type of blue snake can grow to 28 feet.
There are 3 of the blue snakes in the local zoo.
Multiply 28 with 3 the product is equal to 84.
x 
=
The zoo will have 84 feet of blue snakes.