All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 2 Lesson 5 Add Whole Numbers will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 2 Lesson 5 Add Whole Numbers
Math in My World
Example 1
There were 6,824 baseball tickets sold last week. This week, there were 349 baseball tickets sold. How many tickets were sold altogether?
Find 6,824 + 349.
1. Add ones.
4 + 9 = 13
Regroup 13 ones as 1 ten and 3 ones.
2. Add tens.
1 + 2 + 4 = 7
3. Add hundreds.
8 + 3 = 11
Regroup 11 hundreds as 1 thousand and 1 hundred.
4. Add thousands.
1 + 6 = 7
So, 7,173 tickets were sold altogether.
Check for Reasonableness The estimate is 7,100
Since 7,100 is close to the estimate, the answer is reasonable.
Example 2
Ticket sales for a play are shown in the table. What were the total sales?
1. Add ones.
3 + 7 = 10
Regroup 10 ones as 1 ten and 0 ones.
2. Add tens.
1 + 1 + 2 = 4
3. Add hundreds.
7 + 8 = 15
Regroup 15 hundreds as 1 thousand and 5 hundreds.
4. Add thousands.
1 + 8 + 3 = 12
Regroup 12 thousands as 1 ten thousand and 2 thousands.
5. Add ten thousands.
1 + 5 + 4 = 10
Place the $ symbol in front of the sum.
So, the total ticket sales were 102,540
Talk Math
Explain why it is important to line up digits in numbers when you add.
Answer: That is so that you can add ones with ones, tens with tens, etc.; also, after the decimal point, tenths with tenths, hundredths with hundredths, etc.
Guided Practice
Add. Estimate to check your work.
Question 1.
Answer: $7,166
Explanation:
To estimate
Given, $2,961 + $4,205
round to the nearest hundred we get
$2,900 + $4,200 = $7,100
So, $7,100 is nearest to $7,166
Question 2.
Answer: 39,605
Explanation:
To estimate
Given, 29,380 + 10,225
round to the nearest hundred we get
29,300 + 10,200 = 39,500
So, 39,500 is nearest to 39,605
Independent Practice
Add. Estimate to check your work.
Question 3.
Answer: 15,554
Explanation:
To estimate
Given, 8,346 + 7,208
round to the nearest hundred we get
8,300 + 7,200 = 15,500
So, 15,500 is nearest to 15,554
Question 4.
Answer: $31,170
Explanation:
To estimate
Given, $23,824 + $7,346
round to the nearest hundred we get
$23,800 + $7,300 = $31,100
So, $31,100 is nearest to $31,170
Question 5.
Answer: 87,617
Explanation:
To estimate
Given, 82,828 + 4,789
round to the nearest hundred we get
82,800 + 4,800 = 87,600
So, 87,600 is nearest to 87,617
Question 6.
Answer: $1,19,548
Explanation:
To estimate
Given, $37,178 + $82,370
round to the nearest hundred we get
$37,100 + $82,300 = $1,19,400
So, $1,19,400 is nearest to $1,19,548
Question 7.
Answer: $7,41,598
Explanation:
To estimate
Given, $693,782 + $47,816
round to the nearest hundred we get
$693,800 + $47,800 = $7,41,600
So, $7,41,600 is nearest to $7,41,598
Question 8.
Answer: 9,55,295
Explanation:
To estimate
Given, 743,980 + 211,315
round to the nearest hundred we get
744,000 + 211,300 = 9,55,300
So, 9,55,300is nearest to 9,55,295
Question 9.
Answer: 6,36,037
Explanation:
To estimate
Given, 254,671 + 381,366
round to the nearest hundred we get
254,700 + 381,400 = 6,36,100
So, 6,36,100 is nearest to 6,36,037
Question 10.
Answer: $38,292
Explanation:
To estimate
Given, $15,789 + $22,503
round to the nearest hundred we get
$15,800 + $22,500 = $38,300
So, $38,300 is nearest to $38,292
Question 11.
Answer: 86,200
Explanation:
To estimate
Given, 56,772 + 29,428
round to the nearest hundred we get
56,700 + 29,400 = 86,100
So, 86,100 is nearest to 86,200
Add. Use the place-value chart to help set up the problem.
Question 12.
17,599 + 72,682 = ____
Answer: 17,599 + 72,682 = 90,281
Explanation:
Problem Solving
Question 13.
There are 4,585 students who rode the bus to school today. There were 3,369 students who came to school another way. How many students were there in all at the school?
Answer: 7,954 students were there in all at the school
Explanation:
There are 4,585 students who rode the bus to school today.
There were 3,369 students who came to school another way.
4,585 + 3,369 = 7,954
So, 7,954 students were there in all at the school
Question 14.
Mathematical PRACTICE 6 Explain to a Friend Becky’s mom wants to buy a new TV that costs $1,500 and a DVD player that costs $300. She has $2,000. If she buys groceries for $150, will she have enough money for the TV and the DVD player? Explain to a friend.
Answer: Yes she will have enough money for the TV and the DVD player
Explanation:
Given, Becky’s mom wants to buy a new TV that costs $1,500 and a DVD player that costs $300.
That will make a total of $1,500 + $300 = $1,800
If she buys groceries for $150
Then, $1,800 + $150 = $1,950
The total cost for all the purchases is $1,950
And she has $2,000
So, Yes she will have enough money for the TV and the DVD player
Question 15.
Mr. Russo’s class is collecting bottles to recycle. The class collected 1,146 bottles in March and 2,555 bottles in April. How many bottles were collected?
Answer: 3,701 bottles were collected
Explanation:
Given, The class collected 1,146 bottles in March and 2,555 bottles in April.
1,146 + 2,555 = 3,701
So, 3,701 bottles were collected
HOT Problems
Question 16.
Mathematical PRACTICE 1 Make Sense of Problems Write two 5-digit addends whose sum would give an estimate of 60,000.
Answer: 31,974 and 28,400
Explanation:
Let the two 5-digit addends be 31,974 and 28,400
Then 31,974 + 28,400 = 60,374
So, 60,374 is nearest to 60,000.
Question 17.
? Building on the Essential Question Explain why an addition problem that has 4-digit addends could have a 5-digit sum.
Answer: Because the two addends can have the double digit in its highest place value after adding
Explanation:
Let the 4-digit addends be 9,642 and 2,135
Then, 9,642 + 2,135 = 11,777
11,777 is a 5-digit sum.
So, 4-digit addends could have a 5-digit sum, Because the two addends can have the double digit in its highest place value after adding