Year 11
Foundation

Convert small numbers to standard form

Year 11
Foundation

Convert small numbers to standard form

Lesson details

Key learning points

  1. In this lesson, we will convert small ordinary numbers to a standard form number with negative powers of ten

Licence

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3 Questions

Q1.
Why is 78.12 x 10⁵ not a standard form number?
The first part of the standard form number has too many digits.
Correct answer: The first part of the standard form number must be less than ten.
The index number is incorrect.
Q2.
Write 5.81 x 10⁶ in ordinary form.
0.00000581
Correct answer: 5,810,000
58,106
581,000
Q3.
Which number is smaller? 3 x 10⁴ or 4 x 10³
3 x 10⁴
Correct answer: 4 x 10³

4 Questions

Q1.
Which power of ten is equivalent to 0.01?
10⁻¹
Correct answer: 10⁻²
10⁻³
10²
Q2.
Complete the missing number in this calculation 5 ÷ ? = 0.05
1,000
10
10,000
Correct answer: 100
Q3.
Write 0.0003 in standard form.
0.003 x 10⁰
0.3 x 10⁻³
3 x 10⁻³
Correct answer: 3 x 10⁻⁴
Q4.
Which number is smaller? 3 x 10⁻⁴ or 4 x 10⁻³
0.3 x 10⁻³
Correct answer: 3 x 10⁻⁴