Go through the Math in Focus Grade 6 Workbook Answer Key Chapter 1 Positive Numbers and the Number Line to finish your assignments.

## Math in Focus Grade 6 Course 1 A Chapter 1 Answer Key Positive Numbers and the Number Line

### Math in Focus Grade 6 Chapter 1 Quick Check Answer Key

**Find the factors of each number.**

Question 1.

30

Answer:

30 = 1 x 30, 30 = 2 x 15,

30 = 3 x 10, 30 = 5 x 6

Explanation:

1, 2, 3, 5, 6, 10, 15 and 30 are the factors of number 30.

a number or algebraic expression that divides another number or expression evenly,

with no remainder.

Question 2.

63

Answer:

1 x 63 = 63, 3 x 21 = 63, 7 x 9 = 63.

Explanation:

1, 3, 7, 9, 21 and 63 are the factors of number 63.

a number or algebraic expression that divides another number or expression evenly,

with no remainder.

Question 3.

56

Answer:

1 x 56 = 56, 2 x 28 = 56

4 x 14 = 56, 7 x 8 = 56

Explanation:

1, 2, 4, 7, 8, 14, 28 and 56 are the factors of number 56.

a number or algebraic expression that divides another number or expression evenly,

with no remainder.

Question 4.

84

Answer:

1 x 84 = 84, 2 x 42 = 84, 3 x 28 = 84

4 x 21 = 84, 6 x 14 = 84, 7 x 12 = 84

Explanation:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84 are the factors of number 84.

a number or algebraic expression that divides another number or expression evenly,

with no remainder.

**Find the first five multiples of each number.**

Question 5.

4

Answer:

4, 8, 12, 16 and 20

Explanation:

4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20

4, 8, 12, 16 and 20 are the first five multiples of number 4.

Question 6.

6

Answer:

6, 12, 18, 24 and 30

Explanation:

6 x 1 = 6, 6x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30

6, 12, 18, 24 and 30 are the first five multiples of number 6.

Question 7.

9

Answer:

9, 18, 27, 36 and 45

Explanation:

9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36,9 x 5 = 45

9, 18, 27, 36 and 45 are the first five multiples of number 9.

Question 8.

13

Answer:

13, 26, 6, 52, 65

Explanation:

13 x 1 = 13, 13 x 2 = 26, 13 x 3 = 36, 13 x 4 = 52, 13 x 5 = 65

13, 26, 39, 52 and 65 are the first five multiples of number 13.

**Complete.**

Question 9.

Identify all the prime numbers in the following set of numbers.

2, 5, 13, 21, 23, 39, 47, 51, 53, 57

Answer:

2, 5, 13, 23, 47, 53.

Explanation:

2, 5, 13, 23, 47, 53 are the prime numbers in the given set.

**Simplify.**

Question 10.

(40 – 28) + 8 × 7

Answer:

68

Explanation:

(40-28) + 8 x 7

=12 + 56

=68

(40 – 28) + 8 × 7 = 68.

Question 11.

75 × (45 ÷ 5) – 70

Answer:

605

Explanation:

75 (45 ÷ 5) – 70

=75 (9) – 70

=675 – 70

=605

75 × (45 ÷ 5) – 70 = 605.