## Types of Numbers Exercise

1. List all of the factors of:

a. 18
b. 25
c. 60

2. List the first four multiples of:

(a) 9 (b) 12 (c) What is the lowest common multiple of 9 and 12?

3. List the factors of: (a) 30 (b) 24 (c) What is the highest common factor of 30 and 24?

4. Which of the following are prime numbers: 23, 56, 31, 2, 39, 51, 1, 11

5.Write these numbers as a product of their prime factors. (a) 30 (b) 18 (c) 60

6. Calculate (without a calculator):

 a. b. c. d. 53 e. (3.1) 2 f. (0.6) 2

7. Find the reciprocals (without a calculator) of:

 a. 4 b. 0.5 c. 25 d. 7⁄10 e. 94⁄5 f. 100

8. Write the following numbers as ordinary decimals:

(a) 6.15 × 10 4 (b) 5.61 × 10 - 2 (c) 9 × 10 3

9. Use a calculator to evaluate (find the value of):

 a. Reciprocal of 200 b. Square of 23 c. Cube root of 4913 d. Square root of 3364 e. Cube of 27 f. 982 g. Reciprocal of 0.04 h. √2025 i. 343 j. Calculate 3.4 × 103 + 4.6 × 102 k. 3.15 × 4.53 (to nearest whole number) l. Cube of 1.45 m. 3⁄4 + 2⁄3 n. 4⁄5 ÷ 2⁄3 o. 31⁄2 × 13⁄7

10. Draw a number line and show the following sets of numbers:

a. {-2, -1, 0, 1, 2, 3, 4}

b. {x where -5 ≤ x < 2} where x is an integer.

c. {x where x > -2} where x is a real number.