All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 2 Review will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Chapter 2 Review Answer Key
Vocabulary Check
Use the vocabulary words ¡n the word bank to fill in the blanks.
Associative Property of Addition
Commutative Property of Addition
equation
Identity Property of Addition
minuend
subtrahend
unknown
variable
Question 1.
The _____ states that for any number, zero plus that number is the number.
Answer: Identity Property of Addition
Explanation:
The Identity Property of Addition states that for any number, zero plus that number is the number.
Question 2.
A(n) ____ quantity is an amount whose value needs to be found.
Answer: unknown
Explanation:
A(n) unknown quantity is an amount whose value needs to be found.
Question 3.
The ____ states that the order in which two numbers are added does not change the sum.
Answer: Commutative Property of Addition
Explanation:
The Commutative Property of Addition states that the order in which two numbers are added does not change the sum.
Question 4.
The first number in a subtraction sentence from which a second number is to be subtracted is the ____.
Answer: minuend
Explanation:
The first number in a subtraction sentence from which a second number is to be subtracted is the minuend.
Question 5.
The ____ states that the grouping of the addends does not change the sum.
Answer: Associative Property of Addition
Explanation:
The Associative Property of Addition states that the grouping of the addends does not change the sum.
Question 6.
A number that is subtracted from another number is called the ____
Answer: subtrahend
Explanation:
A number that is subtracted from another number is called the subtrahend.
Question 7.
A(n) ____ is a symbol, usually a letter, that is used to represent an unknown quantity.
Answer: Variable
Explanation:
A(n) Variable is a symbol, usually a letter, that is used to represent an unknown quantity.
Question 8.
A(n) ___ is a sentence that contains an equals sign (=), showing that two expressions are equal.
Answer: equation
Explanation:
A(n) equation is a sentence that contains an equals sign (=), showing that two expressions are equal.
Concept Check
Find each unknown. Write the addition property or subtraction rule that each shows.
Question 9.
35 – 
= 35
Answer: Identity property of subtraction and the unknown is 0.
Explanation:
35 – 0 = 35
So, the result remained unchanged , the property used is Identity property of subtraction.
Question 10.
(16 + 5) + = 16 + (5 + 10)
Answer: Associative property is used and the unknown is 10
Explanation:
(16 + 5) + 10 = 16 + (5 + 10)
31 = 31
So, The property used is Associative property of addition.
Question 11.
83 + 35 = 35 +
Answer: commutative property is used and the unknown is 83
Explanation:
83 + 35 = 35 + 83
118 = 118
So, The property used is commutative property
Question 12.
76 + 0 =
Answer: Identity property is used and the unknown is 76
Explanation:
76 + 0 = 76
When you add any number to 0 the resultant will be the number .
So, the property used is Identity property
Write each number.
Question 13.
10,000 more than 25,953
Answer: 35,953
Explanation:
10,000 + 25,953 = 35,953
Question 14.
1,000 less than 63,035
Answer: 62,035
Explanation:
63,035 – 1000 = 62,035
Make a ten, hundred, or thousand to mentally add.
Question 15.
4,529 + 56 = ____
Answer: 4,585
Explanation:
To make a ten ,
Take from one addend and give to the other addend , that is make 56 as 55 by subtracting 1 and 4,529 as 4,530 by adding 1
That will be 4,530 + 55 = 4,585
So, 4,529 + 56 = 4,585
Question 16.
506 + 349 = ___
Answer: 855
Explanation:
To make a ten ,
Take from one addend and give to the other addend , that is make 506 as 505 by subtracting 1 and 349 as 350 by adding 1
That will be 505 + 350 = 855
So, 506 + 349 = 855
Add. Estimate to check your work.
Question 17.
Answer: 1,03,304
Explanation:
To estimate
Given, 82,267 + 21,037
round to the nearest hundred we get
82,300 + 21,000 = 1,03,300
So, 1,03,300 is nearest to 1,03,304
Question 18.
Answer: 6,10,136
Explanation:
To estimate
Given, 432,901 + 177,235
round to the nearest hundred we get
432,900 + 177,200 = 6,10,100
So, 6,10,100 is nearest to 6,10,136
Question 19.
Answer: 5,28,399
Explanation:
To estimate
Given, 206,522 + 321,877
round to the nearest hundred we get
206,500 + 321,900 = 5,28,400
So, 5,28,400 is nearest to 5,28,399
Subtract. Use addition or estimation to check.
Question 20.
Answer: 11,525
Explanation:
Make a ten.
43,226 + 4 = 43,230
54,751 – 43,230 = 11,521
Since we subtracted extra 4 add it back in , then
11,521 + 4 = 11,525
So, 54,751 – 43,226 =11,525
Question 21.
Answer: 8,372
Explanation:
Make a ten.
632 + 8 = 640
9,004 – 640 = 8,364
Since we subtracted extra 8 add it back in , then
8,364 + 8 = 8,372
So, 9,004 – 632 = 8,372
Question 22.
Answer: 7,424
Explanation:
Make a ten.
63,485 + 5 = 63,490
70,909 – 63,490 = 7,419
Since we subtracted extra 5 add it back in , then
7,419 + 5 = 7,424
So, 70,909 – 63,485 = 7,424
Problem Solving
Question 23.
Mrs. VanHorn has 1,045 recipes to organize. She has organized 632 of them. How many more recipes does she need to organize?
Answer: She needs to organize 413 more recipes.
Explanation:
Given, Mrs. VanHorn has 1,045 recipes to organize.
She has organized 632 of them.
Then , 1,045 – 632 = 413
So, She needs to organize 413 more recipes.
Question 24.
Parker had $32. He earned $10. Then, he bought a video game for $18. How much money does he have left? Write an equation using a variable for the unknown.
Answer: He left with $24
Explanation:
Given, Parker had $32. He earned $10.
Then, he bought a video game for $18.
Let the variable be y,
32 + 10 – 18 = y
y = 42 – 18
y = 24
So, He left with $24
Question 25.
Abby won 57 points on her first turn in a game. She won 37 more points on her second turn and then lost 19 points on her third turn. She won some more points on her fourth turn. Now Abby has 100 points. How many points did she win on her fourth turn? Write an equation using a variable for the unknown.
Answer: She won 25 points on her fourth turn.
Explanation:
Abby won 57 points on her first turn in a game.
She won 37 more points on her second turn and then lost 19 points on her third turn.
She won some more points on her fourth turn. Now Abby has 100 points.
Let the variable be y
Then, 57 + 37 -19 + y = 100
we can write it as , y = 100 – 57 – 37 + 19
y = 43 – 37 + 19
y = 6 + 19
y = 25
So, She won 25 points on her fourth turn.
Test Practice
Question 26.
Rick drove 12,363 miles in his new car the first year he owned it. He drove 15,934 miles the second years How many miles altogether did Rick drive these two years?
A. 23,571 miles
B. 27,297 miles
C. 28,291 miles
D. 28,297 miles
Answer: D. 28,297 miles
Explanation:
Given, Rick drove 12,363 miles in his new car the first year he owned it.
He drove 15,934 miles the second years
Then, 12,363 + 15,934 = 28,297
So, He drove 28,297 miles altogether.
Reflect
Use what you learned about addition and subtraction to complete the grapic organizer.
Reflect on the ESSENTIAL QUESTION? Write your answer below.
Answer: 