AQA · Mathematics · 8300
GCSE Maths: Standard form: addition
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Standard form: addition (Corbettmaths Video 301), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is 35000 written in standard form?
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3.5 × 10⁴
What is 1.2 × 10³ written as an ordinary number?
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1200
What is 0.00000008 written in standard form?
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8 × 10⁻⁸
Why is 481 × 10⁵ not in correct standard form?
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In standard form, the coefficient must be between 1 and 10 (i.e., 1 ≤ a < 10). Here, 481 is not in that range.
What is 1.52 × 10⁶ written as an ordinary number?
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1520000
What is 9.8 × 10⁻⁵ written as an ordinary number?
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0.000098
What is (4 × 10⁵) × (2 × 10⁴) in standard form?
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8 × 10⁹
What is (3 × 10⁴) ÷ (6 × 10⁻³) in standard form?
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5 × 10⁶
What is (5 × 10⁴)² in standard form?
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2.5 × 10⁹
What is (2.6 × 10⁶) + (7.1 × 10⁵) in standard form?
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3.31 × 10⁶
What is (9.2 × 10⁵) − (8.3 × 10⁴) in standard form?
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8.37 × 10⁵
In standard form a × 10ⁿ, the coefficient a must be in the range ?.
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1 ≤ a < 10
What formula relates the circumference of a circle to its diameter?
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C = πd, where C is circumference and d is diameter.
When converting distance units from km to m for a speed calculation, what conversion factor is used?
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1 km = 1000 m, so multiply by 1000.
What is the formula for calculating time when distance and speed are known?
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Time = Distance ÷ Speed
When multiplying two numbers in standard form, how do you combine the powers of 10?
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Add the exponents. For example, (a × 10ᵐ) × (b × 10ⁿ) = (a × b) × 10⁽ᵐ⁺ⁿ⁾.
When dividing two numbers in standard form, how do you combine the powers of 10?
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Subtract the exponents. For example, (a × 10ᵐ) ÷ (b × 10ⁿ) = (a ÷ b) × 10⁽ᵐ⁻ⁿ⁾.
How do you convert a very large ordinary number like 5,930,000,000 to standard form?
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Move the decimal point to after the first non-zero digit and count the moves as the power of 10. Result: 5.93 × 10⁹.
When adding numbers in standard form with different powers of 10, what must you do first?
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Convert them to the same power of 10 or to ordinary numbers before adding.
What is the formula for the surface area of a sphere?
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A = 4πr², where r is the radius.
When converting km² to m², what conversion factor is used?
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1 km² = 1,000,000 m² (or 10⁶ m²), since 1 km = 1000 m and area scales with the square.
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