Standard Form — Year 8 Practice Questions
Work through these Year 8 practice questions on standard form. Try each one before revealing the worked solution.
Questions
Write 30 000 in standard form.
Write 4 500 000 in standard form.
Write 6.7 × 10⁵ as an ordinary number.
Write 9.02 × 10⁴ as an ordinary number.
Explain why 38 × 10⁴ is not in standard form, then write it correctly.
Which is larger: 4 × 10⁶ or 9 × 10⁵?
The distance from the Earth to the Sun is about 150 000 000 km. Write this in standard form.
Put these in order, smallest first: 2 × 10⁵, 8 × 10⁴, 1.3 × 10⁵.
Answers & Worked Solutions
Question 1 Solution
Step 1: 30 000 = 3 × 10 000.
Step 2: 10 000 = 10⁴, so it is 3 × 10⁴.
Answer: 3 × 10⁴
Question 2 Solution
Step 1: Put the decimal point after the first digit: A = 4.5.
Step 2: The point moves 6 places, so it is 4.5 × 10⁶.
Answer: 4.5 × 10⁶
Question 3 Solution
Step 1: Move the decimal point 5 places to the right.
Step 2: 6.7 becomes 670 000.
Answer: 670 000
Question 4 Solution
Step 1: Move the decimal point 4 places right, filling with zeros.
Step 2: 9.02 becomes 90 200.
Answer: 90 200
Question 5 Solution
Step 1: The front number 38 is not between 1 and 10.
Step 2: 38 × 10⁴ = 380 000 = 3.8 × 10⁵.
Answer: 3.8 × 10⁵
Question 6 Solution
Step 1: Compare the powers first: 10⁶ > 10⁵.
Step 2: So 4 × 10⁶ (4 000 000) is larger than 9 × 10⁵ (900 000).
Answer: 4 × 10⁶
Question 7 Solution
Step 1: Put the point after the first digit: A = 1.5.
Step 2: The point moves 8 places, so it is 1.5 × 10⁸ km.
Answer: 1.5 × 10⁸ km
Question 8 Solution
Step 1: Convert each: 8 × 10⁴ = 80 000; 1.3 × 10⁵ = 130 000; 2 × 10⁵ = 200 000.
Step 2: In order: 80 000, 130 000, 200 000.
Step 3: So the order is 8 × 10⁴, 1.3 × 10⁵, 2 × 10⁵.
Answer: 8 × 10⁴, 1.3 × 10⁵, 2 × 10⁵
Build strong foundations in Standard Form
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