Standard form

Worksheet: Standard form

Name:Class:

Answer the questions.

1. Which is 45 000 written in standard form?
   a) 0.45 × 10⁵b) 4.5 × 10³c) 4.5 × 10⁴d) 45 × 10³
2. Write 6 300 000 in standard form.
   a) 6.3 × 10⁵b) 6.3 × 10⁶c) 6.3 × 10⁷d) 63 × 10⁵
3. The number 120 000 000 in standard form is 1.2 × 10⁸.
   a) Trueb) False
4. Which is 0.0004 written in standard form?
   a) 0.4 × 10⁻³b) 4 × 10⁴c) 4 × 10⁻³d) 4 × 10⁻⁴
5. Write 0.00072 in standard form.
   a) 7.2 × 10⁻³b) 7.2 × 10⁻⁴c) 7.2 × 10⁻⁵d) 72 × 10⁻⁵
6. Write 0.05 in standard form.
7. Which ordinary number is equal to 3.8 × 10⁵?
   a) 3 800b) 3 800 000c) 38 000d) 380 000
8. Which ordinary number is equal to 9.1 × 10⁻³?
   a) 0.00091b) 0.0091c) 0.091d) 9100
9. The number 25 × 10³ is written in standard form.
   a) Trueb) False
10. Which number is the largest?
    a) 2 × 10⁷b) 8.9 × 10⁵c) 9 × 10⁶d) 9.9 × 10⁶
11. Which number is the smallest?
    a) 1 × 10⁻³b) 2 × 10⁻⁴c) 5 × 10⁻³d) 8 × 10⁻⁴
12. Work out (2 × 10³) × (3 × 10⁴). Give the answer in standard form.
    a) 5 × 10⁷b) 6 × 10¹²c) 6 × 10⁶d) 6 × 10⁷
13. Work out (4 × 10⁵) × (5 × 10²) in standard form.
    a) 2 × 10⁷b) 2 × 10⁸c) 2 × 10⁹d) 9 × 10⁷
14. (3 × 10⁻²) × (2 × 10⁻³) = 6 × 10⁻⁵.
    a) Trueb) False
15. Work out (1.5 × 10⁴) × (4 × 10³) in standard form.
16. Work out (2 × 10⁵) × (3 × 10⁻²) in standard form.