All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 2 Lesson 4 Add Mentally will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 2 Lesson 4 Add Mentally
Math in My World
Example 1
How many seats are in the two train cars?
Find 151 + 128.
So, 151 + 128 = ____. There are ___ seats in the two train cars.
Answer:
Explanation:
So, 151 + 128 = 279. There are 279seats in the two train cars.
Helpful hint
Expanded form gives the value of each digit in a number.
Example 2
It is easy to make 100 from numbers that end in 98 or 99.
Find 134 + 99.
So, 134 + 99 = 223
Make either addend a ten such as 10, 20, 30, and so on. These numbers are easier to add mentally.
Explanation:
Example 3
There are 37 students from Grade 3A and 25 students from Grade 3B on the bus. How many students are on the bus? Use mental math to find 37 + 25.
One Way Change 25 to 30.
So, ____ + ____ = _____. There are ____ students on the bus.
Another Way Change 37 to 40.
40 and 22 are easier numbers to add.
So, ____ + ____ = _____. There are ____ students on the bus.
Explanation:
So, 32+ 30= 62. There are 62 students on the bus.
So, 40 + 22 = 62. There are 62 students on the bus.
Talk Math
Would you rather make a ten or a hundred when finding 156 + 262? Explain.
Explanation:
156 + 262
156 – 6 = 150
262 + 6 = 256
150 + 256 = 406
Guided Practice
Question 1.
Break apart the addends to add mentally.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 2.
Make a ten to add mentally.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Independent Practice
Break apart the addends to add mentally.
Question 3.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 4.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 5.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 6.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Make a ten or a hundred to add mentally.
Question 7.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 8.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 9.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 10.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 11.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 12.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Problem Solving
Question 13.
Sylvia is finding 135 + 456. Explain how she can find the sum mentally.
Answer:
135 + 456 = 591
Explanation:
456 + 4 = 460
135 – 4 = 131
460 + 131 = 591
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 14.
Mathematical PRACTICE 6 Explain to a Friend There are 49 seats in the balcony of the theater. Use a mental math strategy to find the total number of seats in the balcony and on the main floor of the theater.
Answer:
122 seats
Explanation:
49 seats in the balcony of the theater.
73 in main floor
49 + 1 = 50
73 – 1 = 72
50 + 72 = 122 seats
Question 15.
Use mental math to find the total amount of money
Yolanda will spend when she buys the following items. ________
Answer:
54 Yolanda had spend
Explanation:
9 + 5 can also written as 10 + 4 = 14
11 + 29 can also written as 30 + 10 = 40
HOT Problems
Question 16.
Mathematical PRACTICE 3 Find the Error Carmine mentally found the sum to 56 + 36. Find his mistake and correct it.
Answer:
56 + 36 = 92
Explanation:
He added the number 4 to 56 but he did not subtracted the number from 36
That was his mistake.
Question 17.
? Building on the Essential Question Why are some numbers easier to add than others?
Answer:
If the numbers are ended with 0 or 5 then they will be easier to add.
McGraw Hill My Math Grade 3 Chapter 2 Lesson 4 My Homework Answer Key
Practice
Break apart the addends to add mentally.
Question 1.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 2.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Make a ten or a hundred to add mentally.
Question 3.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 4.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Make a ten or a hundred to add mentally.
Question 5.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 6.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Break apart the addends to add mentally.
Question 7.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Question 8.
Answer:
Explanation:
Tens and ones are taken apart and added separately
By expanded form we can add the numbers by rounding them to nearest tens
Problem Solving
Question 9.
Mathematical PRACTICE 2 Use Number Sense Lambert’s Livery rents canoes every weekend. How many total canoes were rented in June and July?
Answer:
June and July is 352
Explanation:
In June = 154
In July = 198
In August = 176
154 + 198 + 176 = 528
total rentals are 528
528 – 176 = 352
June and July is 352
Test Practice
Question 10.
During Math Week, there were 77 visitors on Monday and 28 visitors on Tuesday. How many visited during Math Week those two days?
A. 49 visitors
B. 95 visitors
C. 105 visitors
D. 205 visitors
Answer:
C
Explanation:
77 visitors on Monday
28 visitors on Tuesday.
77 + 28 = 105 visitors
105 visited during Math Week those two days