Multiplying Two Numbers in Standard Form

Multiplying Two Numbers in Standard Form

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

Lesson appears in

UnitMaths / Standard Form 4 Operations