All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 6 Lesson 13 Divide Decimals will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 6 Lesson 13 Divide Decimals
When dividing by decimals, change the divisor into a whole number. To do this, multiply both the divisor and the dividend by the same power of 10. Then divide as with whole numbers.
Math in My World
Example 1
Kasey is 4.5 feet tall. Her brother, Jerome, is 6.75 feet tall. How many times taller is Jerome than Kasey?
Find 6.75 ÷ 4.5.
1. Multiply 4.5 by 10 to make 45. Then, multiply 6.75 by the same number, 10, to make 67.5.
Answer:
4.5
Explanation:
2. Place the decimal point in the quotient. Divide as with whole numbers.
So, Jerome is ___________ times taller than Kasey.
Check Multiply to check your answer.
Answer:
6.75
Explanation:
To check the answer multiply the Quotient with divisor.
Multiplication and division, are inverse operations of each other.
Example 2
Find 0.06 ÷ 1.5.
1. Multiply each number by 10.
Answer:
0.04
Explanation:
15 does not go into 6, so write a 0 in the hundredths place.
2. Place the decimal point in the quotient. Divide as with whole numbers. Annex zeros in the dividend as needed.
Answer:
0.06
Explanation:
Check: Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
Talk Math
When finding 0.808 ÷ 0.4, by what number should you multiply the divisor? Explain.
Answer:
2.02
Explanation:
0.808 ÷ 0.4
by multiplying 1000 on both sides
(0.808 x 1000) ÷ (0.4 x 1000)
808 ÷ 400 = 2.02
To check the answer multiply the Quotient with divisor.
Multiplication and division, are inverse operations of each other.
Guided Practice
Question 1.
Divide. Check your answer using multiplication.
6.89 ÷ 1.3 = _____________
Answer:
5.3
Explanation:
Multiply each number by 10.
1.3 x 10 = 13
6.89 x 10 = 68.9
68.9 ÷ 13
Check: Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
1.3 x 5.3 = 6.89
Independent Practice
Divide. Check your answer using multiplication.
Question 2.
0.66 ÷ 0.3 = ______________
Answer:
2.2
Explanation:
by multiplying 10
0.66 x 10 = 6.6
0.3 x 10 = 3
6.6 ÷ 3 = 2.2
Check: Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
0.3 x 2.2 = 0.66
Question 3.
16.5 ÷ 0.03 = _____________
Answer:
550
Explanation:
by multiplying 100
16.5 x 100 = 1650
0.03 x 100 = 3
Check : Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
550 x 3 = 1650
550 x 0.03 = 16.5
Question 4.
0.462 ÷ 0.2 = ______________
Answer:
2.31
Explanation:
by multiplying 10
0.462 x 10 = 4.62
0.2 x 10 = 2
Check : Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
2.31 x 2 = 4.62
2.31 x 0.2 = 0.462
Question 5.
Answer:
155
Explanation:
by multiplying 100
18.6 x 100 = 1860
0.12 x 100 = 12
Check : Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
155 x 0.12 = 18.6
Question 6.
Answer:
0.05
Explanation:
by multiplying 100
0.07 x 100 = 7
1.4 x 100 = 140
Check : Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
1.4 X 0.05 = 0.07
Question 7.
Answer:
95.55
Explanation:
by multiplying 100
0.04 X 100 = 4
3.822 X 100 = 382.2
Check : Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
95.55 x 0.04 = 3.822
Question 8.
14.4 ÷ 0.4 = ___________
Answer:
36
Explanation:
by multiplying 10
0.4 x 10 = 4
14.4 x 10 = 144
Check : Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
36 x 0.4 = 14.4
Question 9.
Answer:
4.5
Explanation:
by multiplying 100
0.78 X 100 = 78
3.51 X 100 = 351
Check : Multiply to check your answer.
78 x 4.5 = 351
0.78 x 4.5 = 3.51
Multiplication and division, are inverse operations of each other.
Question 10.
Answer:
565.2
Explanation:
by multiplying 100
0.15 x 100 = 15
84.78 x 100 = 8478
Check : Multiply to check your answer.
Multiplication and division, are inverse operations of each other.
Algebra Find each unknown.
Question 11.
0.08 ÷ 1.6 = z
z = _____________
Answer:
z = 0.05
Explanation:
by multiplying 100
0.08 X 100 = 8
1.6 X 100 = 160
Check : Multiply to check your answer.
0.05 x 1.6 = 0.08
Question 12.
13.2 ÷ 0.3 = d
d = ______________
Answer:
d = 44
Explanation:
by multiplying 10
13.2 x 10 = 132
0.3 x 10 = 3
Check : Multiply to check your answer.
0.3 x 44 = 13.2
Question 13.
0.92 ÷ 0.4 = q
q = ______________
Answer:
q = 2.3
Explanation:
by multiplying 100
0.92 x 100 = 92
0.4 x 100 = 40
Check : Multiply to check your answer.
0.4 x 2.3 = 0.92
Problem Solving
Question 14.
Mathematical PRACTICE Model Math Mrs. Chibas is making chocolate chip cookies for her daughter’s class. She bought a tub of chocolate chip cookie dough that contained 57.6 ounces of dough. If each cookie needs 1.2 ounces of dough, how many cookies can she make?
Answer:
48
Explanation:
Mrs. Chibas bought a tub of chocolate chip cookie dough that contained 57.6 ounces of dough.
If each cookie needs 1.2 ounces of dough,
Number of cookies she make,
57.6 ÷ 1.2
by multiplying 10
57.6 x 10 = 576
1.2 x 10 = 12
Check : Multiply to check your answer.
1.2 x 48 = 57.6
Question 15.
Elliot ran 4 laps in 209.2 seconds. If he ran at the same speed for each lap, what was his time for each lap?
Answer:
52.3
Explanation:
Elliot ran 4 laps in 209.2 seconds.
If he ran at the same speed for each lap,
Total time for each lap,
209.2 ÷ 4
by multiplying 10
209.2 x 10 = 2092
4 x 10 = 40
Question 16.
Kaya works for a T-shirt company and has 49.5 yards of fabric to make specialty T-shirts. If each T-shirt needs 4.5 yards of fabric, how many T-shirts can she make?
Answer:
11
Explanation:
Kaya works for a T-shirt company and has 49.5 yards of fabric to make specialty T-shirts.
If each T-shirt needs 4.5 yards of fabric,
Number of T-shirts she make,
by multiplying 10
49.5 x 10 = 495
4.5 x 10 = 45
11 x 4.5 = 49.5
HOT Problems
Question 17.
Mathematical PRACTICE Be Precise Without solving, would 1.98 ÷ 0.51 be closer to 4 or 5? Explain.
Answer:
closer to 4.
Explanation:
multiplying by 100
1.98 x 100 = 198
0.51 x 100 = 51
1.98 ÷ 0.51 = 3.88
3.88 is closer to 4
Question 18.
Building on the Essential Question How is dividing decimals different from dividing whole numbers?
Answer:
Convert the divisor into a whole number by multiplying dividend and divisor by the suitable power of 10.
Now, divide the new dividend by the whole number as discussed earlier.
McGraw Hill My Math Grade 5 Chapter 6 Lesson 13 My Homework Answer Key
Practice
Divide. Check your answer using multiplication.
Question 1.
12.42 ÷ 4.6 = __________
Answer:
2.7
Explanation:
by multiplying 10
12.42 x 10 = 124.2
4.6 x 10 = 46
Question 2.
Answer:
0.605
Explanation:
0.4 x 10 = 4
0.242 x 10 = 2.42
check
0.605 x 0.4 = 0..242
Question 3.
1.404 ÷ 0.45 = _____________
Answer:
3.12
Explanation:
by multiplying 100
1.404 x 100 = 140.4
0.45 x 100 = 45
check
0.45 x 3.12 = 1.404
Problem Solving
Question 4.
Lamar spent $16.25 on peanuts. If he bought 2.6 pounds of peanuts, how much does one pound of peanuts cost?
Answer:
6.27
Explanation:
Lamar spent $16.25 on peanuts.
If he bought 2.6 pounds of peanuts,
Cost of one pound of peanut,
by multiplying 100
16.25 x 10 = 162.5
2.6 x 10 = 26
check
6.25 x 2.6 = 16.25
Question 5.
Sei paid $10.48 for a number of washcloths. If each washcloth is $1.31. how many washcloths did Sei get?
Answer:
8
Explanation:
Sei paid $10.48 for a number of washcloths.
If each washcloth is $1.31.
Total washcloths Sei get,
10.48 x 100 = 1048
1.31 x 100 = 131
Question 6.
Mathematical PRACTICE Be Precise Write and solve a real-world problem that involves dividing a decimal by a decimal.
Answer:
Sam paid $10.48 for a number of washcloths. If each washcloth is $1.31. how many washcloths did Sam get?
Explanation:
Sam paid $10.48 for a number of washcloths.
If each washcloth is $1.31.
Total washcloths Sam get,
10.48 x 100 = 1048
1.31 x 100 = 131
Question 7.
Patricia has 3.75 pounds of hamburger. She is making hamburgers with 0.25 pound of hamburger each. How many hamburgers can she make?
Answer:
15
Explanation:
Patricia has 3.75 pounds of hamburger.
She is making hamburgers with 0.25 pound of hamburger each.
Total hamburgers she make,
3.75 x 100 = 375
0.25 x 100 = 25
375 ÷ 25 = 15
Test Practice
Question 8.
Mason has 1.71 meters of string to decorate his locker. He cut the string into 0.19-meter lengths. How many pieces does he have?
(A) 6 pieces
(B) 7 pieces
(C) 8 pieces
(D) 9 pieces
Answer:
Option (D)
Explanation:
Mason has 1.71 meters of string to decorate his locker.
He cut the string into 0.19-meter lengths.
Number of pieces he have,
1.71 ÷ 0.19
1.71 x 100 = 171
0.19 x 100 = 19
171 ÷ 19 = 9