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.