Students can use the Spectrum Math Grade 3 Answer Key Chapter 10 Pretest as a quick guide to resolve any of their doubts.

Check What You Know

Complete the pattern by using addition or subtraction.

Question 1.
30      26        22 Generate the pattern 30 26 22 by using the simple addition with the given numbers by Subtracting 4 for the given series up to the number 6 which is as shown below. Question 2.
1         2        3 Generate the pattern 1 2 3 by using the simple addition with the given numbers by adding 1 for the given series up to the number 7 which is as shown below. Question 3.
5       10       15 Generate the pattern 5 10 15 by using the simple addition with the given numbers by adding 5 for the given series up to the number 35 which is as shown below. Question 4.
4        8       16 Generate the pattern 4  8 16 by using the simple addition with the given numbers by doubling the given series up to the number 256 which is as shown below. Question 5.
1       3         5 Generate the pattern 1 3 5 by using the simple addition with the given numbers by adding 2 for the given series up to the number 13 which is as shown below. Question 6.
10     9         8 Generate the pattern 10 9 8 by using the simple Subtraction the given numbers by decreasing 1 for the given series up to the number 4 which is as shown below. Write the number sentence. For the missing part, use a box ( ). Solve each number sentence.

Question 7.
Thirty-six divided by a number equals six. ______________
The number is _____________.
Let the unknown number be x
When 36 is divided by x = 6
36 ÷ x  = 6
It implies 36 = 6x
x = 6
Therefore Thirty-Six Divided by a Six Equals Six.

Question 8.
The product of five and four equals what number? _____________
The product of five and four is _____________.
Given numbers are 5 and 4
When both are multiplied = 5 x 4
= 20
Therefore , the product of 5 and 4 is 20.

Question 9.
This number divided by three equals seven. _____________
This number is _____________.
Let the number be x
Then x ÷ 3 = 7
Then x = 7 x 3
x = 21
Therefore the number is 21 , 21 is divided by three Equals to seven.

Question 10.
This number times four equals twenty-four. _____________
This number is _____________.
Let the number be x
x . 4 = 24
It implies x = 24 ÷ 4
x = 6
Therefore , the 6 times four Equals to twenty-four.

Question 11.
Thirty-five divided by five equals what number? _____________
Fourteen divided by 5 is _____________.
Given 35 ÷ 5 = ?
Let the unknown number be x
Then x = 35 ÷ 5
It implies x = 7
Therefore , 35 divided by 5 is 7.

Question 12.
The product of nine and this number equals eighteen. _____________
This number is _____________.
Let the number be x
Given product of nine and x = 18
9 x = 18
x = 18 ÷ 9
This implies x = 2
Therefore , the product of nine and two is eighteen.

Question 13.
This number divided by three equals six. _____________
This number is _____________.
Let the unknown number be x.
Then , x ÷ 3 = 6
x = 6 x 3
x = 18
Therefore , 18 divided by three Equals Six.

Complete the following.

Question 14.
a. 3 + _________ = 3
Try to implement the Addition identity as shown below
3+ 0 = 3 . When 3 and zero are added , the result is 3.
b. 5 + 0 = ___________
Try to implement the Addition identity as shown below
5+ 0 =  5. When 5 and zero are added , the result is 5.

c. 7 × 1 = ____________
Try to implement the Multiplication identity as shown below
7 x 1 = 7. When 7 and 1 are Multiplied , the result is 7.

d. __________ × 1 = 6
Try to implement the Multiplication identity as shown below
6 x 1 = 6. When 6 and 1 are Multiplied , the result is 6.

Question 15.
a. 5 + 4 = 9 or 5 + 4 = 2 + ____________
Try to implement the Commutative Addition property as shown below
5 + 4 = 9 or 5 + 4 = 2 + 7.

b. 6 + 9 = 15 or 6 + 9 = 10 + ___________
Try to implement the Commutative Addition property as shown below
6 + 9 = 15 or 6 + 9 = 10 + 5.

c. 2 × 9 = 18 or 2 × 9 = 6 × ___________
Try to implement the Commutative Multiplication property as shown below
2 × 9 = 18 or 2 × 9 = 6 × 3.

d. 4 × 5 = 20 or 4 × 5 = 10 × ___________
Try to implement the Commutative Multiplication property as shown below.
4 × 5 = 20 or 4 × 5 = 10 × 2

Complete the following.

Question 16.
a. 3 × 5 × 2 = x
5 × 2 = 10
10 × 3 = ____________
x = ___________
Given 3 x 5 x 2 = x
According to the Associative property
5 × 2 = 10
10 × 3 = 30
x = 30
Hence the Resultant value obtained after Simplification is x = 30

b. 4 × 4 × 3 = z
4 × 3 = 12
12 × 4 = ___________
z = ___________
Given 4 x 4 x 3 = z
According to the Associative property
4 × 3 = 12
12 × 4 = 48
z = 48
Hence the Resultant value obtained after Simplification is z = 48
c. 5 × 2 × 1 = y
5 × 1 = 5
5 × 2 = ____________
y = ____________
Given 5 x 2 x 1 = y
According to the Associative property
5 × 1 = 5
5 × 2 = 10
y = 10
Hence the Resultant value obtained after Simplification is y = 10

Question 17.
a. 7 × 1 × 2 = n
_________ × 1 = 7
7 × __________ = 14
n = 14
Given 7 x 1 x 2 = n
According to the Associative property
7 × 1 = 7
7 × 2 = 14
n = 14
Hence the Resultant value obtained after Simplification is n = 14

b. 8 × 2 × 3 = b
2 × 3 = 6
8 × 6 = ___________
b = ___________
Given 8 x 2 x 3 = b
According to the Associative property
2 × 3 = 6
8 × 6 = 48
b = 48
Hence the Resultant value obtained after Simplification is b = 48

c. 2 × 4 × 5 = m
__________ × __________ = ___________
__________ × __________ = ___________
m = ____________
Given 2 x 4 x 5 = m
According to the Associative property
4 × 5 = 20
20 × 2 = 40
m = 40
Hence the Resultant value obtained after Simplification is m = 40

Complete the following.

Question 18.
14 × 2 = (10 × 2) + (__________ × 2)
____________ + ____________ = ____________
Given 14 × 2 = (10 × 2) + (___________ × 2)
According to the distributive property
14 × 2 = (10 × 2) + (4 × 2)
20 + 8  = 28
14 x 2 = 28
Hence the Resultant value obtained after Simplification is 48.

Question 19.
17 × 6 = (10 × 6) + (____________ × 6)
____________ + ____________ = ____________
Given 17 × 6 = (10 × 6) + (____________ × 6)
According to the distributive property
17 × 6 = (10 × 6) + ( 7× 6)
60  + 42  = 102
17 x 6 = 102
Hence the Resultant value obtained after Simplification is 102.

Question 20.
15 × 7 = (10 × 7) + (___________ × 7)
____________ + _____________ = ______________