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## 180 Days of Math for Fifth Grade Answers Key Day 151

**Directions: Solve each problem.**

Question 1.

35 + 54 = __________

Answer:

The addition is the term used to describe adding two or more numbers together. The addition is denoted using the plus sign ‘+‘ such as the addition of 3 and 3 can be written as 4 + 4. Also, the plus sign (+) can be used as many times as required, such as

4 + 4 + 4 + 4.

therefore, the answer is 89.

Question 2.

Calculate the product of 13 and 72.

Answer:

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life. The major application we can see in multiplication tables.

In arithmetic, the multiplication of two numbers represents the repeated addition of one number with respect to another. These numbers can be whole numbers, natural numbers, integers, fractions, etc. If m is multiplied by n, then it means either m is added to itself ‘n’ a number of times or vice versa.

The formula for multiplication:

The multiplication formula is given by:

Multiplier × Multiplicand = Product

– The multiplicand is the total number of objects in each group

– A multiplier is the number of equal groups

– Product is the result of multiplication of multiplier and multiplicand

therefore, the answer is 936.

Question 3.

152 ÷ 14 = __________

Answer:

The division is breaking a number into an equal number of parts. The division is an arithmetic operation used in Maths. It splits a given number of items into different groups.

There are a number of signs that people may use to indicate division. The most common one is ÷, but the backslash / and a horizontal line (-) are also used in the form of Fraction, where a Numerator is written on the top and a Denominator on the bottom.

The division formula is:

Dividend ÷ Divisor = Quotient (or) Dividend/Divisor=quotient

Therefore, the quotient is 108; and the remainder is 8.

Question 4.

Is 68,925 greater than or less than 68,952?

Answer:

Greater than and less than symbols are used to compare any two numbers. When a number is bigger than or smaller than another number, greater than less than symbols are used. If the first number is greater than the second number, greater than symbol (>) is used. If the first number is less than the second number, less than symbol (<) is used.

There are two rules to compare the numbers:

Rule 1: Number with more digits.

– When we compare numbers, then check if both the numbers are having the same number of digits or not. If a number has more digits, then it is greater than the other number.

Rule 2: Numbers starting with a greater digit.

– This rule is applicable when two numbers are having the same number of digits. In such cases, we need to check the digit at the leftmost place, whichever is greater. Therefore, the number with a greater digit at the leftmost place of the number is greater than the other number.

Given: 68,925 and 68,952 are the two numbers.

– Sice, both the numbers are having 5 digits, thus we will compare the left-most digit of both the numbers.

– As we can see the first three digits are the same for both the numbers, thus we need to compare the next left-most digit of both numbers.

– 2 < 5

Therefore,

68925 < 68952

hence, 68925 is less than 68952.

Question 5.

Write 1\(\frac{2}{3}\) as an improper fraction.

Answer:

1\(\frac{2}{3}\) can be written as 1 2/3

A mixed number is an addition of its whole and fractional parts.

1 + 2/3

Now calculate the above equation to get the improper fraction.

3 + 2/3

5/3.

Therefore, the improper fraction of the above-given latex fraction is 5/3.

Question 6.

Write the number that comes next in the sequence.

1,564; 1,464; 1,364; _________

Answer: 1,264

Explanation:

It is an arithmetic sequence.

A sequence in which every term is created by adding or subtracting a definite number from the preceding number is an arithmetic sequence.

The above-given numbers are 1,564; 1,464; 1,364; X

We need to find out the value of X.

Now subtract the first and second numbers then we the difference between them.

1,564 – 1,464 = 100

Therefore, the difference is 100 between every number.

1,464 – 100 = 1,364

Likewise, we need to find out the number.

Now subtract the 100 from 1,364 then we get the value of X.

1,364 – 100 = X

1,264 = X

Therefore, the sequence is 1,564; 1,464; 1,364; 1,264

Question 7.

6 × = 100 – 40

Answer:

Let the empty box be T

6 × T = 100 – 40

6 × T = 60

Now get 6 into the right-hand side then the equation will be:

T = 60/6

T = 10

Now substitute the T value in the above equation.

6 × T = 60

6 × 10 = 60

60 = 60

LHS = RHS

Hence, the answer is proved.

Question 8.

What are 12 hours after 6:49 A.M.?

Answer: 6:49 P.M

Now add 12 hours to the 6:49 A.M

12:00 + 6:49 = 18:49

18:49 is nothing but 6:49 P.M

Question 9.

True or false? Perpendicular lines are lines that meet at right angles.

Answer:

True, Perpendicular lines are intersecting lines that always meet at an angle of 90°. Perpendicular lines are denoted by the symbol ⊥.

Properties of perpendicular lines:

– Perpendicular lines always intersect at 90°.

– All perpendicular lines can be termed as intersecting lines, but all intersecting lines cannot be called perpendicular because they need to intersect at right angles.

Question 10.

Name the shape that is located at (G, 1).

Answer: square.

Square is a regular quadrilateral, which has all four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees.

Properties of square:

– All four interior angles are equal to 90°

– All four sides of the square are congruent or equal to each other

– The opposite sides of the square are parallel to each other

– The diagonals of the square bisect each other at 90°

– The two diagonals of the square are equal to each other

– The square has 4 vertices and 4 sides

– The diagonal of the square divides it into two similar isosceles triangles

– The length of the diagonals is greater than the sides of the square

Question 11.

Using the spinner, what is the probability you will riot land on the green?

Answer:

The spinner is divided into 3 sections

The total number of possibilities is 3

The favourable outcome of green is 1

The probability of spin landing on a green is 1/3.

Question 12.

Genevieve is half the height of her dad. Genevieve is 36 inches tall. How many feet tall is her dad?

Answer:

The number of inches Genevieve tall = 36

Genevieve is half of the height of her dad. And her height is 36 inches. We need to find out her dad’s height.

If we want to find out her dad’s height we need to multiply 36 with 2

36 × 2 =72

her dad’s height is 72.