Year 10
Core

Adding two numbers in standard form

Year 10
Core

Adding two numbers in standard form

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Lesson details

Key learning points

  1. In this lesson, we will learn how to add any two numbers together in standard form. We will look at initial cases where powers are equal, and move to more complicated cases where powers are different.

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3 Questions

Q1.
Write 4 x 10⁻³ in ordinary form.
-0.000004
0.000004
0.0004
Correct answer: 0.004
Q2.
Write 2.05 x 10⁻⁶ in ordinary form.
Correct answer: 0.00000205
0.0000205
0.000205
0.00205
Q3.
Which number is smaller? 5 x 10⁻⁴ or 4 x 10⁻⁵
Correct answer: 4 x 10⁻⁵
5 x 10⁻⁴

5 Questions

Q1.
1. Work out (2.7 × 10⁶) + (7.3 × 10⁶). Give your answer in standard form.
1 × 10³
Correct answer: 1 × 10⁷
10 × 10¹²
10 × 10⁶
Q2.
2. Calculate (4 × 10³) + (4 × 10⁴), give your answer in standard form.
4.4 × 10³
Correct answer: 4.4 × 10⁴
8 × 10³
8 × 10⁴
Q3.
3. Work out (3 × 10⁴) + (4 × 10⁵), give your answer in standard form.
3.4 × 10⁴
4.3 × 10⁴
Correct answer: 4.3 × 10⁵
7 × 10⁴
Q4.
4. Calculate (4.1 × 10⁶) + (3.2 × 10⁵), giving your answer in standard form.
4.42 × 10¹¹
Correct answer: 4.42 × 10⁶
7.3 × 10¹¹
7.3 × 10⁵
Q5.
5. Work out (5 × 10¹) + (5 × 10⁻¹), giving your answer in standard form.
0
10
5.05 × 10¹
Correct answer: 50.5 × 10¹