All the solutions provided in **McGraw Hill Math Grade 4 Answer Key PDF Chapter 2 Lesson 6 Subtract Whole Numbers** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 4 Answer Key Chapter 2 Lesson 6 Subtract Whole Numbers

**Math in My World**

Example 1

The Trevino family is moving to a new city. They have driven 957 miles out of the 3,214 miles that they need to drive. How many more miles do they need to drive?

1. Subtract ones.

Regroup a ten as 10 ones.

10 ones + 4 ones = 14 ones

14 ones – 7 ones = 7 ones

2. Subtract tens.

Regroup a hundred as 10 tens.

10 tens + 0 tens = 10 tens

10 tens – 5 tens = 5 tens

3. Subtract hundreds.

Regroup a thousand as 10 hundreds.

10 hundreds + 1 hundred = 11 hundreds

11 hundreds – 9 hundreds = 2 hundreds

4. Subtract thousands.

2 thousands – 0 thousands = 2 thousands

So, 3,214 – 957 = 2,257. The Trevino family needs to drive 2,257 more miles.

Example 2

The band has raised $1,345 toward new equipment. If the goal is to raise $4,275, how much money must still be raised?

1. Subtract ones.

5 – 5 = 0

2. Subtract tens.

7 – 4 = 3

3. Subtract hundreds

Regroup a thousand as 10 hundreds.

12 – 3 = 9

4. Subtract thousands.

3 – 1 = 2

So, the band still needs to raise 2,930

**Cheçk for Reasonableness** You can use addition to check your subtraction.

The answer is correct and close to the estimate.

**Talk Math**

Explain how to check the answer to a subtraction problem by using addition.

Answer: Add your answer with the lower number of the subtraction problem and if it adds up to the upper number then you are right.

Explanation:

For example 586 -123 = 463

To check , we can add the subtrahend to the result

That is 463 + 123 = 586

So, we can check the answer to a subtraction problem by using addition.

**Guided Practice**

**Subtract. Use addition or estimation to check.**

Question 1.

Answer: 2,117

Explanation:

Given, 2,962 – 845 = 2,117

To check , we can add the subtrahend to the result

That is 2,117 + 845 = 2,962

Question 2.

Answer: $2,492

Explanation:

Given, $4,785 – $2,293 = $2,492

To check , we can add the subtrahend to the result

That is $2,492 + $2,293 = $4,785

**Independent Practice**

**Subtract. Use addition or estimation to check.**

Question 3.

Answer: 8,218

Explanation:

Given, 8,845 – 627 = 8,218

To check , we can add the subtrahend to the result

That is 8,218 + 627 = 8,845

Question 4.

Answer: $927

Explanation:

Given, $5,751 – $4,824 = $927

To check , we can add the subtrahend to the result

That is $927 + $4,824 = $5,751

Question 5.

Answer: $2,618

Explanation:

Given, $8,327 – $5,709 = $2,618

To check , we can add the subtrahend to the result

That is $2,618 + $5,709 = $8,327

Question 6.

Answer: 20,838

Explanation:

Given, 39,536 – 18,698 = 20,838

To check , we can add the subtrahend to the result

That is 20,838 + 18,698 = 39,536

Question 7.

Answer: 2,84,781

Explanation:

Given, 847,311 – 562,530 = 2,84,781

To check , we can add the subtrahend to the result

That is 2,84,781 + 562,530 = 847,311

Question 8.

Answer: 71,809

Explanation:

Given, 93,458 – 21,649 = 71,809

To check , we can add the subtrahend to the result

That is 71,809 + 21,649 = 93,458

Question 9.

Answer: 21,388

Explanation:

Given, 78,215 – 56,827 = 21,388

To check , we can add the subtrahend to the result

That is 21,388 + 56,827 = 78,215

Question 10.

Answer: $3,945

Explanation:

Given, $18,345 – $14,400 = $3,945

To check , we can add the subtrahend to the result

That is $3,945 + $14,400 = $18,345

Question 11.

Answer: 4,12,889

Explanation:

Given, 629,843 – 216,954 = 4,12,889

To check , we can add the subtrahend to the result

That is 4,12,889 + 216,954 = 629,843

**Subtract. Use addition or estimation to check. Use the place-value chart to set up the problem.**

Question 12.

961,344 – 345,822 = ____

Answer: 6,15,522

Explanation:

Question 13.

Do you prefer to use addition or estimation to check? Explain.

Answer: Both addition or estimation will work to check

Explanation:

For example ,

To estimate

Let 8,346 + 7,208 = 15,554

round to the nearest hundred we get

8,300 + 7,200 = 15,500

So, 15,500 is nearest to 15,554

or

To check using addition

Given, 8,845 – 627 = 8,218

To check , we can add the subtrahend to the result

That is 8,218 + 627 = 8,845

**Problem Solving**

Question 14.

**Mathematical PRACTICE 5 Use Math Tools** There are a total of 1,569 tickets for a concert. On the first day of sales, 875 tickets were sold. The following day an additional 213 tickets were sold. How many tickets are still available?

Answer: 1,842 tickets are still available

Explanation:

Given,

On the first day of sales, 875 tickets were sold.

The following day an additional 213 tickets were sold.

875 + 213 = 1,148

There are a total of 1,569 tickets for a concert.

Then, 1,569 – 1,148 = 1,842

So, 1,842 tickets are still available

Question 15.

A mountain is 29,135 feet tall. From base camp at 17,600 feet, a climber hiked 2,300 feet. How much farther does the climber have before reaching the top of the mountain?

Answer: The climber have 9,235 feet before reaching the top of the mountain

Explanation:

Given,

From base camp at 17,600 feet, a climber hiked 2,300 feet.

17,600 + 2,300 = 19,900

A mountain is 29,135 feet tall.

Then, 29,135 – 19,900 = 9,235

So, The climber have 9,235 feet before reaching the top of the mountain

Question 16.

John Adams was born in 1732 and became President in 1797. Harry S. Truman was born in 1884 and became President in 1945. Who was older when he became President?

Answer:

Given, John Adams was born in 1732 and became President in 1797.

1797 – 1732 = 65

The age of John Adams when he became president is 65

Harry S. Truman was born in 1884 and became President in 1945.

1945 – 1884 = 61

The age of Harry S. Truman when he became president is 61

So, John Adams is older when he became President

**HOT Problems**

Question 17.

**Mathematical PRACTICE 2 Use Number Sense** Circle the subtraction problem that does not require regrouping. Explain.

Answer:

Explanation:

89,584 – 57,372 = 32, 212

Does not require regrouping.

Question 18.

**? Building on the Essential Question** Why is it important to line up the digits in each place-value position when subtracting?

Answer: In cases where you are subtracting two decimals that extend to different place values, it often makes sense to add extra zeros to make the two numbers line up , this makes the subtraction a bit easier to follow.