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## 180 Days of Math for Fifth Grade Answers Key Day 158

**Directions: Solve each problem.**

Question 1.

347 – 138 = __________

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 been given 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:

347 = Minuend; 138 = Subtrahend; 209 = Difference

Therefore, the answer is 209.

Question 2.

53 × 14 = ___________

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 742.

Question 3.

Answer:

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √9 = 3. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.

– Here we will show you how to calculate the square root of 758 using the long division method with one decimal place accuracy.

–therefore, the square root of 758 is 27.531

The above-given question is 67 square roots of 758 is:

Now multiply 67 by 27.531

Thus, 67*27.531 is 1844.577

Question 4.

30,000 + 8,000 + 600 + 40 + 9 = __________

Answer: 38,649

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.

Therefore, the answer is 38,649.

Question 5.

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

Answer:

First, note that 1 1/3 is a mixed number, also known as a mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follows:

1 = whole number

1 = numerator

3 = denominator

To convert mixed number 1 1/3 to an improper fraction, you follow these steps:

1. Multiply the whole number by the denominator

1 × 3 = 3

2. Add the product from Step 1 to the numerator

3 + 1 = 4

3. Write the answer from Step 2 over the denominator

4/3

The mixed number 1 1/3 converted to an improper fraction is, therefore: 4/3.

Question 6.

40 × 2 + 3 × 7 = __________

Answer:

The value of 40 x 2 = 80

The value of 3 x 7 = 21

Now add the values we got. Let’s assume answer be X.

X = 80 + 21

X = 101.

therefore, the value of the above equation is 101.

Question 7.

Answer:

Let the empty box be M.

M x 4 = 100

Now get 4 into the right-hand side then the equation will be:

M = 100/4

M = 25

Now substitute the M value in the above equation.

M x 4 = 100

25 x 4 = 100

100 = 100

LHS = RHS

Hence, the answer is verified.

Question 8.

Is 750 mL three-fourths of 1 L?

Answer:

yes, it is equivalent to 3/4th of 1 litre.

We all know that, 1 litre = 1000 ml

3/4th of 1 litre = 3/4 x 1000

= 3000/4

= 750 ml.

Question 9.

Draw at least 2 lines of symmetry.

Answer:

If the shapes can be divided into two equal parts with two lines, then the shapes are said to have two lines of symmetry. The line of symmetry can be a horizontal line of symmetry, vertical line of symmetry or diagonal line of symmetry.

here asked for at least two lines of symmetry so we can draw more than 2. So I would draw 3 lines of symmetry.

Question 10.

Plot the following point on the graph: (3, 6)

Answer:

We need to follow the two steps:

– Select the coordinates for the graph.

– Use the graph function to create the graph.

– A coordinate graph consists of two number lines that run perpendicular to each other. These number lines are called axes. The horizontal line is called the *x*-axis, and the vertical line is called the *y*-axis. These two axes intersect where they are both equal to zero. This intersection point is called the origin.

Question 11.

This is a spinner for a board game. Label the circle to show a 40% chance of black, a 40% chance of red, and a 20% chance of white.

Answer:

the total spinner is 100%.

The spinner to show a 40% chance is black

The spinner to show a 40% chance is red

The spinner to show a 20% chance is white.

There are three colours so we have divided 3 sections.

The two sections are 40% and the other section is 20%.

Question 12.

Michelle loves to knit hats. It takes her one week to knit a hat. About how many months would it take her to knit 12 hats?

Answer: 3 months

Explanation:

The number of hats she can Knit a hat in one week = 1

In 4 weeks she can knit, 4 hats.

1 month = 4 weeks.

The number of months would it take her to knit 12 hats = X

for 1 hat, 1 week

for 12 hats, H weeks.

Apply cross-multiplication.

12 x 1 = H x 1

12 = H

Therefore, she can knit 12 hats in 12 weeks

we know that 1 month = 4 weeks.

12 weeks = X months

X = 12/4

X = 3 months.

She can knit 12 hats in 3 months.