Pass Check: Standard Form
Write numbers in standard form and calculate with them, A × 10^n where 1 ≤ A < 10.
Standard form
A way of writing numbers as A × 10^n, where 1 ≤ A < 10 and n is an integer.
Positive power of 10
Used for numbers 10 or greater; n tells you how many places the decimal point moves right.
Negative power of 10
Used for numbers between 0 and 1; n is negative, showing how many places the point moves left.
Ordinary form
A number written out normally, without powers of 10, e.g. 45,000 instead of 4.5 × 10^4.
Quick check
Mixed quiz
1. Calculate (2.2 x 10^4) x (5.2 x 10^2), giving your answer in standard form.
2. Write 50,000,000 in standard form.
3. A number is 6.8×10⁻⁴. Which of these is the same number?
4. Which calculation correctly represents (6×10⁸) ÷ (3×10⁻²)?
5. Write 7,000,000,000 in standard form.
6. Write 80,000,000,000 in standard form.
7. Calculate (2.0 x 10^4) x (5.0 x 10^2), giving your answer in standard form.
8. Calculate (2.5 x 10^4) x (5.5 x 10^2), giving your answer in standard form.