Year 11
Foundation

Multiplying Two Numbers in Standard Form

Year 11
Foundation

Multiplying Two Numbers in Standard Form

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Lesson details

Key learning points

  1. In this lesson, we will learn how to multiply any two numbers in standard form. We will model increasingly difficult questions and finish with a worded question involving unit conversion.

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5 Questions

Q1.
Work out (9 × 10⁶) - (3 × 10⁶). Give your answer in standard form.
12 × 10⁶
6 × 10
Correct answer: 6 × 10⁶
60 × 10⁶
Q2.
Calculate (6.4 × 10³) - (2.3 × 10³). Give your answer in standard form.
Correct answer: 4.1 × 10³
6.17 × 10³
8.7 × 10³
Q3.
Work out (3 × 10⁷) - (4 × 10⁶), give your answer in standard form.
1 × 10¹
1 × 10⁷
2.6 × 10⁶
Correct answer: 2.6 × 10⁷
Q4.
Calculate (4.1 × 10⁻²) - (3.2 × 10⁻³), giving your answer in standard form.
0.9 × 10⁻⁵
Correct answer: 3.78 × 10⁻²
3.78 × 10⁻³
9 × 10⁻²
Q5.
Work out (7 × 10⁵) - (5 × 10²), giving your answer in standard form.
2 × 10³
2 × 10⁵
6.995 × 10²
Correct answer: 6.995 × 10⁵

4 Questions

Q1.
Work out (2 × 10³) × (4 × 10²). Give your answer in standard form.
6 × 10⁶
Correct answer: 8 × 10⁵
8 × 10⁶
Q2.
Calculate (6.4 × 10³) × (2.2 × 10⁴). Give your answer in standard form.
1.28 × 10⁸
1.32 × 10⁸
Correct answer: 1.408 × 10⁸
1.5 × 10⁸
Q3.
Work out (3 × 10⁻⁴) × (4 × 10⁻²), give your answer in correct standard form.
1.2 × 10⁻¹
Correct answer: 1.2 × 10⁻⁵
12 × 10⁻²
12 × 10⁻⁶
Q4.
Calculate (4.1 × 10⁻²) × (3.2 × 10⁻³), giving your answer in correct standard form.
Correct answer: 1.312 × 10⁻⁴
12.2 × 10⁻⁴
12.2 × 10⁻⁵
13.12 × 10⁻⁵