Standard form: small numbers
The Maths Habit
Work out.
Which number is smaller? How do you know?
A. It has more zeros after the point. Counting zeros is slow. Standard form counts them for you.
- Power of 10
- 10 multiplied by itself, or 1 divided by 10 again and again. 1 ÷ 10 ÷ 10
- Negative power
- A power with a minus sign. It counts the ÷ 10s. 10−
- Standard form
- A number between 1 and 10, times a power of 10.
- Ordinary number
- A number written the usual way, with all its digits. 0.00
Write 0.001 as a power of 10.
Write 0.01 as a power of 10.
Write 0.001 as a power of 10.
Write 0.0001 as a power of 10.
Write 0.001 as a power of 10.
Write 0.1 as a power of 10.
Write 0.001 as a power of 10.
Write 0.00001 as a power of 10.
Write 0.005 in standard form.
Write 0.07 in standard form.
Write 0.005 in standard form.
Write 0.0002 in standard form.
Write 0.005 in standard form.
Write 0.6 in standard form.
Write 0.005 in standard form.
Write 0.008 in standard form.
Answer sheet
Is it right?
Thumbs up: right. Thumbs down: wrong.
0.0006 = 6 × 10−4
Right0.03 = 3 × 10−3
Wrong: 0.03 = 3 × 10−27 × 10−2 = 0.07
Right4 × 10−3 = 0.0004
Wrong: 4 × 10−3 = 0.0040.1 = 1 × 10−1
Right
Write 0.000006 in standard form.
6 × 10−6Which is smaller, 9 × 10−5 or 1 × 10−4?
9 × 10−5 (0.00009)Write 0.0045 in standard form.
4.5 × 10−3 (4.5 is between 1 and 10)
Write 0.002 in standard form.
2 × 10−3Write 0.06 in standard form.
6 × 10−2Write 0.0009 in standard form.
9 × 10−4