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.

Vocabulary Check

Use the vocabulary words ¡n the word bank to fill in the blanks.

equation
minuend
subtrahend
unknown
variable

Question 1.
The _____ states that for any number, zero plus that number is the number.

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.

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.

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 ____.

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.

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 ____

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.

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.

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

Explanation:
10,000 + 25,953 = 35,953

Question 14.
1,000 less than 63,035

Explanation:
63,035 – 1000 = 62,035

Make a ten, hundred, or thousand to mentally add.

Question 15.
4,529 + 56 = ____

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 = ___

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

Question 17. 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. 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. 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. 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. 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. 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

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. Answer: 