All the solutions provided in **McGraw Hill Math Grade 3 Answer Key PDF Chapter 3 Lesson 6 Subtract Four-Digit Numbers** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 3 Lesson 6 Subtract Four-Digit Numbers

**Math in My World**

Example 1

What is the difference in height between Ribbon Falls and Kalambo Falls?

Find the unknown. 1,612 – 726 =

Estimate 1,612 – 726 → 1,600 – ____ = 900

1. Subtract the ones.

Regroup 1 ten as 10 ones.

2 ones + 10 ones = 12 ones

2. Subtract the tens.

Regroup 1 hundred as 10 tens.

0 tens + 10 tens = 10 tens

3. Subtract the hundreds and thousands.

Regroup 1 thousand as 10 hundreds.

Check

886 is close to the estimate 900. Estimation shows the answer is reasonable.

So, 1,612 – 726 = ____

Ribbon Falls is ____ feet taller than Kalambo Falls.

Answer:

Ribbon Falls is 886 feet taller than Kalambo Falls.

Explanation:

Given that Ribbon Falls is 1,612 ft and Kalambo Falls is 726 ft. So ribbon falls is 1,612-726 which is 886 feet taller.

Example 2

Bike Route A is 1,579 miles. Bike Route B is 3,559 miles How much longer is Bike Route B?

Find the unknown. 3,559 — 1,579 = ? ← A ? is a symbol that can be used for the unknown.

Estimate

1. Subtract the ones and tens.

Subtract the ones.

Regroup 1 hundred as 10 tens. 5 tens + 10 tens = 15 tens Subtract the tens.

2. Subtract the hundreds and thousands.

Regroup 1 thousand as 10 hundreds.

10 hundreds + 4 hundreds = 14 hundreds Subtract the hundreds.

Subtract the thousands.

Bike Route B is ___ miles longer. The unknown is ____

Check 1,980 is close to the estimate of 2,000. The answer is reasonable.

Answer:

The bike route B is 1,980 miles long.

Explanation:

Given that the bike Route A is 1,579 miles and bike Route B is 3,559 miles. So the bike route B is 3,559-1,579 which is 1,980 miles long and the unknown value is 1,980.

**Talk Math**

Explain the steps to find 8,422 – 5995.

Answer:

The difference between 8,422 – 5,995 is 2,427.

Explanation:

To find the difference between 8,422 – 5,995 we will perform regrouping. So the difference between 8,422 – 5,995 is 2,427.

**Guided practice**

Question 1.

Subtract. Use addition to check your answer.

Answer:

$7,371-$365 = $7,006,

$7,006+$365 = $7,371.

Explanation:

Given the equation to be subtracted is $7,371-$365 which is 7,006. Here, we will add 7,006 and 365 which is 7,006+365 = 7,371. So the answer is correct.

**Independent Practice**

**Subtract. Use addition to check your answer.**

Question 2.

Answer:

1,392-238 = 1,154,

1,154+238 = 1,392.

Explanation:

Given the equation to be subtracted is 1,392-238 which is 1,154. Here, we will add 1,154 and 238 which is 1,154+238 = 1,392. So the answer is correct.

Question 3.

Answer:

3,298-858 = 2,440,

2,440+858 = 3,298.

Explanation:

Given the equation to be subtracted is 3,298-858 which is 2,440. Here, we will add 2,440 and 858 which is 2,440+858 = 3,298. So the answer is correct.

Question 4.

Answer:

3,475-1,267 = 2,208,

2,208+1,267 = 3,475.

Explanation:

Given the equation to be subtracted is 3,475-1,267 which is 2,208. Here, we will add 2,208 and 1,267 which is 2,208+1,267 = 3,475. So the answer is correct.

**Algebra Subtract to find the unknown.**

Question 5.

$4,875 – $3,168 = ?

The unknown is ____.

Answer:

The unknown is $1,707.

Explanation:

Given the equation is $4,875 – $3,168, the unknown value is $1,707.

Question 6.

$6,182 – $581 = ?

The unknown is ____.

Answer:

The unknown is $5,601.

Explanation:

Given the equation is $6,182 – $581, the unknown value is $5,601.

Question 7.

6,340 – 3,451 = ?

The unknown is ____.

Answer:

The unknown is 2,889.

Explanation:

Given the equation is 6,340 – 3,451, the unknown value is 6,340 – 3,451 = 2,889.

**Algebra Compare. Use >, <, or =.**

Question 8.

1,543 – 984 5,193 – 4,893

Answer:

1,543 – 984 5,193 – 4,893.

Explanation:

The difference between 1,543 – 984 is 559 and the difference between 5,193 – 4,893 is 300. So 1,543 – 984 is greater than 5,193 – 4,893.

Question 9.

2,116 – 781 5,334 – 3,999

Answer:

2,116 – 781 5,334 – 3,999

Explanation:

The difference between 2,116 – 781 is 1,335 and the difference between 5,334 – 3,999 is 1,335. So 2,116 – 781 is equal to 5,334 – 3,999.

**Problem Solving**

Question 10.

**Mathematical PRACTICE 2 Use Algebra** Of the 2,159 pre-sold concert tickets, only 1,947 tickets were used. Write a number sentence to show how many tickets were not used.

Answer:

The number sentence will be 2,159-1,947 = 212 tickets.

Explanation:

Given that 2,159 pre-sold concert tickets, only 1,947 tickets were used. So the number of tickets not used is 2,159-1,947 which is 212 tickets. The number sentence will be 2,159-1,947 = 212 tickets.

Question 11.

Belinda is buying one of two cars. One costs $8,463 and the other costs $5,322. How much money would Belinda save if she bought the less expensive car?

$____ – $____ = $_____

Answer:

$8,463-$5,322 = $3,141.

Explanation:

Given that Belinda is buying one of two cars. One costs $8,463 and the other costs $5,322. So Belinda can save $8,463-$5,322 which is $3,141 if she bought the less expensive car.

**HOT Problems**

Question 12.

**Mathematical PRACTICE 2** Reason A group of students used 6,423 cans to create a sculpture. Another group made a sculpture using 2,112 cans. What is the difference in the number of cans used for the sculptures? How do you know your answer is correct?

Answer:

The difference in the number of cans used for the sculptures is 4,311 cans.

Explanation:

Given that a group of students used 6,423 cans to create a sculpture and another group made a sculpture using 2,112 cans. So the difference in the number of cans used for the sculptures is 6,423-2,112 which is 4,311 cans. To find the answer is correct we will the difference and the subtrahend which is 4,311+2,112 which is 6,423.

Question 13.

**? Building on the Essential Question** Explain how subtracting four-digit numbers is like subtracting three-digit numbers.

Answer:

In three-digit numbers, the numbers have hundreds, tens, and ones while in four-digit numbers, the numbers have thousands, hundreds, tens, and ones. So if we need any carry we can get a carry from the thousands place.

### McGraw Hill My Math Grade 3 Chapter 3 Lesson 6 My Homework Answer Key

**Practice**

Question 1.

Subtract. Use addition to check your answer.

Answer:

6,217-860 = 5,357,

5,357+860 = 6,217

Explanation:

Given the equation to be subtracted is 6,217-860 which is 5,357. Here, we will add 5,357 and 860 which is 5,357+860 = 6,217. So the answer is correct.

**Subtract. Use addition to check your answer.**

Question 2.

Answer:

5,963-238 = 5,725,

5,725+238 = 5,963.

Explanation:

Given the equation to be subtracted is 5,963-238 which is 5,725. Here, we will add 5,725 and 238 which is 5,725+238 = 5,963. So the answer is correct.

Question 3.

Answer:

5,769-941 = 4,828,

4,828+941 = 5,769.

Explanation:

Given the equation to be subtracted is 5,769-941 which is 4,828. Here, we will add 4,828 and 941 which is 4,828+941 = 5,769. So the answer is correct.

Question 4.

Answer:

9,871-1,214 = 8,657,

8,657+1,214 = 9,871.

Explanation:

Given the equation to be subtracted is 9,871-1,214 which is 8,657. Here, we will add 8,657 and 1,214 which is 8,657+1,214 = 9,871. So the answer is correct.

**Algebra Subtract to find the unknown.**

Question 5.

$3,958 – $1,079 = ?

The unknown is $____.

Answer:

The unknown is $2,879.

Explanation:

Given the equation is $3,958 – $1,079, so the unknown value is $3,958 – $1,079 = $2,879.

Question 6.

The unknown is $____.

Answer:

The unknown is $7,854.

Explanation:

Given the equation is $8,337 – $483, so the unknown value is $8,337 – $483 = $7,854.

Question 7.

6,451- 2,378 = ?

The unknown is $____.

Answer:

The unknown is 4,073.

Explanation:

Given the equation is 6,451- 2,378, so the unknown value is 6,451- 2,378 = 4,073.

**Problem Solving**

**Write a number sentence to solve.**

Question 8.

Pittsburg University won the college football championship in 1937. They won again in 1976. How many years were there between championships?

Answer:

37 years were there between championships.

Explanation:

Given that Pittsburg University won the college football championship in 1937 and they won again in 1976. So 1976-1937 which is 37 years were there between championships

Question 9.

**Mathematical PRACTICE 4 Model Math** A library has 2,220 books about sports and 1,814 books about animals. How many more sports books are there than animal books?

Answer:

There are 406 sports books more than animal books.

Explanation:

Given that a library has 2,220 books about sports and 1,814 books about animals. So there are 2,220-1,814 which is 406 sports books more than animal books.

**Test Practice**

Question 10.

How much less money did Selena’s school raise this year at the pancake breakfast?

A. $900

B. $905

C. $1,905

D. $8,145

Answer:

B.

Explanation:

Last year Selena’s school raise $4,525 and this year she raises $3,620. So $4,525-$3,620 which is $905 less than last year.