All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 3 Lesson 4 Subtract with Regrouping will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 3 Lesson 4 Subtract with Regrouping
Sometimes you need to regroup when subtracting. You will use place value to exchange equal amounts to rename a number.
Build It
Find 244 – 137 = ___ . ← unknown
Estimate 244 – 137 → 200 – 100 = 100
Answer:
244 – 137 = 107.
Explanation:
Given the equation is 244 – 137 which is 107. Here, the estimated value is 200-100 which is 100 and the actual value is 137. As the estimated value is closer to the actual value. So the answer is correct.
1. Model 244.
Use base-ten blocks. Draw your model.
2. Subtract ones.
You cannot subtract 7 ones from 4 ones. Regroup 1 ten as 10 ones.
There are now 14 ones.
Subtract 7 ones.
14 ones – 7 ones = 7 ones.
Draw the result.
3. Subtract 3 tens.
3 tens – 3 tens = 0 tens
4. Subtract hundreds.
2 hundreds – 1 hundred = 1 hundred
Draw the result.
So, 244 — 137 = ____.
The unknown is 107
Check
Addition and subtraction are inverse operations because they undo each other.
Talk About It
Question 1.
In Step 2, why did you regroup 1 ten as 10 ones?
Answer:
As we cannot subtract 7 ones from 4 ones we have regrouped 1 ten as 10 ones.
Question 2.
What did you notice about the tens in Step 3 when you subtracted them?
Answer:
We noticed that we need to subtract 3tens from 3tens.
Question 3.
Mathematical PRACTICE 2 Stop and Reflect Suppose, after subtracting the ones, there were not enough tens from which to subtract. What do you think you may have to do?
Answer:
When there are not enough tens from which to subtract, then we will take a carry from hundreds place.
Question 4.
Why can you use addition to check your answer to a subtraction problem?
Answer:
We will use addition to check your answer to a subtraction problem, because to check that the answer is correct or not.
Practice It
Use models to subtract. Draw the difference.
Question 5.
181 – 63 = ____
Answer:
181 – 63 = 118.
Explanation:
Given the equation to be subtracted is 181 – 63 which is 118.
Question 6.
322 – 118 = ____
Answer:
322 – 118 = 204.
Explanation:
Given the equation to be subtracted is 322 – 118 which is 204.
Question 7.
342 – 119 = ____
Answer:
342 – 119 = 223.
Explanation:
Given the equation to be subtracted is 342 – 119 which is 223.
Question 8.
212 – 103 = ____
Answer:
212 – 103 = 109.
Explanation:
Given the equation to be subtracted is 212 – 103 which is 109.
Use models to subtract. Draw the difference. Use addition to check.
Question 9.
341 – 19 = ____
Answer:
341-19 = 322,
322+19 = 341.
Explanation:
Given the equation to be subtracted is 341-19 which is 322. Here, we will add 322 and 19 which is 322+19 = 341. So the answer is correct.
Question 10.
553 – 128 = ____
Answer:
553 – 128 = 425,
425+128 = 553.
Explanation:
Given the equation to be subtracted is 553 – 128 which is 425. Here, we will add 425 and 128 which is 425+128 = 553. So the answer is correct.
Question 11.
338 – 175 = ___
Answer:
338 – 175 = 163,
163+175 = 338.
Explanation:
Given the equation to be subtracted is 338-175 which is 163. Here, we will add 163 and 175 which is 163+175 = 338. So the answer is correct.
Question 12.
632 – 313 = ____
Answer:
632 – 313 = 319,
319+313 = 632.
Explanation:
Given the equation to be subtracted is 632 – 313 which is 319. Here, we will add 319 and 313 which is 319+313 = 632. So the answer is correct.
Apply It
Use base-ten blocks to solve.
Question 13.
Mathematical PRACTICE 5 Use Math Tools The Bank of America in Charlotte, North Carolina, is 871 feet tall. The One Liberty Place building in Philadelphia, Pennsylvania, is 945 feet tall Write a number sentence to find how much taller the One Liberty Place building is. Then write an addition number sentence to check.
____ – ____ = _____
The One Liberty Place building is ____ feet taller than the Bank of America building.
___ + ____ = _____
Answer:
The One Liberty Place building is 74 feet taller than the Bank of America building.
945-871 = 74,
74+871 = 945.
Explanation:
Given that North Carolina, is 871 feet tall and Pennsylvania is 945 feet tall. So the number sentence is 871+945 which is 1,816.
Question 14.
The Storrow family visited the aquarium and saw 483 saltwater fish and 358 freshwater fish. Later that month, workers moved 139 fish to a new aquarium. How many fish remained? Explain how you got your answer
Answer:
The remaining fish will be 702 fish.
Explanation:
Given that the Storrow family visited the aquarium and saw 483 saltwater fish and 358 freshwater fish. So the total number of fish is which is 841. As workers moved 139 fish to a new aquarium, the remaining fish will be 841-139 which is 702 fish. By adding the saltwater fish and freshwater fish got the total number of fish and, we subtracted the fish moved to a new aquarium.
Question 15.
Mathematical PRACTICE 4 Model Math Write a real-world subtraction word problem in which regrouping is needed to solve.
Answer:
Tom bought 20 apples from the market and ate 4 apples. How many remaining apples does Tom have?
Answer:
The remaining apples are 16 apples.
Explanation:
Given that Tom bought 20 apples from the market and ate 4 apples. So the remaining apples are 20-4 which is 16 apples.
Write About It
Question 16.
What does it mean to regroup?
Answer:
When there are double-digit or larger numbers we will make a group of ten when performing regroupings such as addition or subtraction. Simply we will rearrange groups in place value to carry out operations.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 4 My Homework Answer Key
Practice
Use models to subtract. Draw the difference.
Question 1.
552 – 361 = ____
Answer:
552 – 361 = 191.
Explanation:
Given the equation to be subtracted is 552 – 361 which is 191.
Question 2.
636 – 324 = ____
Answer:
636 – 324 = 312.
Explanation:
Given the equation to be subtracted is 636 – 324 which is 312.
Use models to subtract. Draw the difference. Use addition to check.
Question 3.
486 – 318 = ____
Answer:
486-318 = 168,
318+168 = 486.
Explanation:
Given the equation to be subtracted is 486-318 which is 168. Here, we will add 168 and 318 which is 318+168 = 486. So the answer is correct.
Question 4.
270 – 131 = ____
Answer:
270 – 131 = 239,
334+353 = 687.
Explanation:
Given the equation to be subtracted is 270-131 which is 239. Here, we will add 334 and 353 which is 334+353 = 687. So the answer is correct.
Problem Solving
Mathematical PRACTICE Use Math Tools Use models to subtract.
Question 5.
Nola had $507. She spent $255 on a new bicycle. How much money does Nola have left?
Answer:
The amount Nola has left is $252.
Explanation:
Given that Nola had $507 and spent $255 on a new bicycle. So the amount Nola has left is $507-$255 which is $252.
Question 6.
Evan set out 643 items for a garage sale. He sold 456 items. How many items does Evan have left?
Answer:
The number of items Evan has left is 187 items.
Explanation:
Given that Evan set out 643 items for a garage sale and he sold 456 items. So the number of items Evan has left is 643-456 which is 187 items.
Vocabulary Check
Choose the correct word(s) to complete each sentence.
inverse operation regroup subtraction sentence
Question 7.
Addition is the ____ of subtraction.
Answer:
Addition is the inverse operation of subtraction.
Question 8.
395 – 278 = 117 is an example of a _____
Answer:
395 – 278 = 117 is an example of a subtraction sentence.
Question 9.
Sometimes I need to ____, or use place value to rename a number, in order to subtract.
Answer:
Sometimes I need to regroup or use place value to rename a number, in order to subtract.