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.