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## 180 Days of Math for Fifth Grade Answers Key Day 174

**Directions: Solve each problem.**

Question 1.

Calculate the difference between 348 and 96.

Answer:

Subtraction is one of the four basic arithmetic operations in mathematics. We can observe the applications of subtraction in our everyday life in different situations. For example, when we purchase fruits and vegetables for a certain amount of money say Rs. 200 and we have given an Rs. 500 note to the vendor. Now, the vendor returns the excess amount by performing subtraction such as 500 – 200 = 300. Then, the vendor will return Rs. 300.

Now we need to calculate the above-given question:

we need to subtract 348 from 96

348 = Minuend; 96 = Subtrahend; 252 = Difference

Therefore, the answer is 252.

Question 2.

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’ 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

The answer is 6232.

Question 3.

Is 129 evenly divisible by 9?

Answer:

No, it is not divisible by 9.

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 (-) is 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

14 is the quotient; 3 is the remainder.

Question 4.

What digit is in the thousands place in the number 95,387?

Answer:

Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The above-given number is 95,387

There are five digits in the number 95,387.

7 is in the unit’s place.

8 is in the tens place

3 is in the hundreds place

5 is in the thousands place

9 is in the ten thousand place

Question 5.

Write \(\frac{5}{2}\) as a mixed number.

Answer:

Step 1: Find the whole number

Calculate how many times the denominator goes into the numerator. To do that, divide 5 by 2 and keep only what is to the left of the decimal point:

5 / 2 = 2.5000 = 2

Step 2: Find a new numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

5-(2×2)

=5-4

=1

Step 3: Get a solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 5/2 as a mixed number is:

2 1/2

Question 6.

5 × 5 – 3 × 5 = ____________

Answer:

The above equation can be solved as:

5 × 5 = 25

3 × 5 = 15

Now subtract the numbers 25 and 15

=25 – 15

=10

Therefore, 5 × 5 – 3 × 5 = 10.

Question 7.

165 – b = 87

b = ___________

Answer:

We need to find out the value of b

The above-given equation is: 165 – b = 87

If we ‘b’ to right-hand side then it becomes ‘+b’

Now the equation will be:

165=87+b

Now get 87 to the left-hand side then it will subtract. Here the equation will be:

165-87=b

78=b

Therefore, the value of b is 78

Now verify the answer. Put the number 78 in the place of b in the above-given equation.

165 – b = 87

165-78=87

87=87

Thus, the answer is verified.

Question 8.

2\(\frac{1}{2}\) hours = _________ minutes

Answer:

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

1 hour is equal to 60 minutes

for 2 hours:

2*60=120 minutes.

1/2 (half an hour)=1/2*60

=30 minutes.

Now add 120 and 30 then we get:

120+30=150

Therefore, 2 1/2 hours = 150 minutes.

Question 9.

Which 3-dimensional figure has only square faces?

Answer: Polyhedrons

Three-dimensional shapes are those figures that have three dimensions, such as height, width, and length, like any object in the real world. It is also known as 3D.

Polyhedral or polyhedrons are straight-sided solid shapes. They are based on polygons, two- dimensional plane shapes with straight lines. Polyhedrons are defined as having straight edges, corners called vertices, and flat sides called faces. The polyhedrons are often defined by the number of edges, faces and vertices, as well as their faces are all the same size and same shape. Like polygons, polyhedrons can be regular and irregular based on regular and irregular polygons. Polyhedrons can be convex or concave. The cube is the most familiar and basic polyhedron. It has 6 square faces, 12 edges and eight vertices.

Question 10.

What is the mean of these numbers?

528, 455, 537

Answer:

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Mean=sum of observations/number of observations

The above-given numbers are 528, 455, 537

First, add these numbers:

528+455+537=1520

The number of observations is 3

Now divide by 3 (total number of observations)

Mean=1520/3

Mean=506.66667

Therefore, the mean is 506.6

Question 11.

If the probability that someone knows how to swim is \(\frac{5}{6}\), how many people in a group of 100 will likely not know how to swim?

Answer:

P(S)=5/6=0.83

The probability of knowing how to swim is 0.83 that is nothing but 83%

The number of people is there in a group is 100

We know the probability of swimming. Now we need to find out the number will likely not know how to swim. Assume it as X

Now subtract the total group percentage and the probability we know how to swim

X=100-83

X=17

therefore, 17 people do not know how to swim.

Question 12.

Quadruple 46, then divide by 2.

Answer:

First, we need to know what is quadruple.

to become four times as big, or to multiply a number or amount by four.

This means we need to multiply 46 with 4

46 * 4 = 184

And asked we need to divide by 2.

Therefore, quotient is 92 and remainder is 0