Go through the Math in Focus Grade 3 Workbook Answer Key Chapter 2 Mental Math and Estimation to finish your assignments.

## Math in Focus Grade 3 Chapter 2 Answer Key Mental Math and Estimation

**Math Journal**

**Fill in the blanks that show the steps to add or subtract mentally. You may use the numbers more than once.**

Question 1.

35 + 48 = ?

Step 1 Add ___ to ___.

____ + ___ = _____

Step 2 Subtract ___ from ___.

____ – ___ = _____

So, 35 + 48 = ____

Answer:

Step 1 Add 35 to 48.

35 + 48 = 83

So, 35 + 48 = 83

Question 2.

72 – 18 = ?

Step 1 Subtract ___ from ___.

____ – ___ = _____

Step 2 Add ___ to ___.

____ + ___ = _____

So, 72 – 18 = ____

Answer:

Step 1 Subtract 72 from 18.

72 – 18 = 54

So, 72 – 18 = 54

**Complete.**

Question 3.

Explain how to round 458 to the nearest hundred. Include a number line in your explanation.

Answer:

458 is nearest to 5 hundred because the difference between 400 and 458 is greater than 458 and 500.

Question 4.

Use front-end estimation to estimate the difference. Write the steps to your solution and check that your answer is reasonable.

905 – 178

_____________________

_____________________

_____________________

_____________________

_____________________

Answer:

905 is near to 900

178 is near to 200

So, 900 – 200 = 700

Yes, the above answer is reasonable because 905 – 178 equals 727 which approximately equals 700

Question 5.

John used front-end estimation to estimate the sum of 317 + 268.

Do you agree with his answer? Explain.

317 + 268 = 585

So, 317 + 268 is about 600.

_____________________

_____________________

Answer:

317 is near to 300

268 is near to 300

So, 300 + 300 = 600.

Yes, I agree with his answer because he followed the correct method and 600 approximately equals 585.

**Put on Your Thinking cap!**

**Challenging Practice**

Question 1.

Two numbers are rounded to the nearest hundred, then added. The estimated sum is 500. One number is 235. What is the greatest possible value of the other number?

Answer:

Given,

One number is 235 which is equal to the nearest hundred – 200

So, from given statement – Two numbers are rounded to the nearest hundred, then added. The estimated sum is 500.

Let the other number be X

So, X + 200 = 500

x = 500 – 200 = 300

Therefore, the greatest possible value of the other number is 300.

Question 2.

I am a 3-digit number. When you round me to the nearest ten and to the nearest hundred, the answer is the same. What number can I be?

Answer:

Let the number be 199 and the nearest ten is 200 and the same way the nearest hundred is 200.

So, there are many possible answers – 199, 299, 399, 499, 599, 699, 799, 899, 999

**Put On Your Thinking Cap!**

**Problem Solving**

Mrs. Avilla makes curtains. She needs 356 centimeters of fabric for the kitchen and 517 centimeters for the living room.

Question 1.

Estimate the length of the fabric she needs in all by rounding to the nearest hundred.

Answer:

Given,

She needs 356 centimeters of fabric for the kitchen and 517 centimeters for the living room.

So, 356 is near to 400 and 517 near to 500

Therefore, 400 + 500 = 900, is the length of the fabric she needs in all by rounding to the nearest hundred.

Question 2.

If she buys the length of fabric estimated in Exercise 1, how much fabric will be leftover?

Answer:

If we add 356 + 517 = 873

We got 900 as the length in exercise 1

So, 900 – 873 = 27

Therefore, 27 is the length of fabric will be leftover