## Questions and Answers

Write 1.2 × 10^5 as an ordinary number.

120000

Write 0.003 in standard form.

3 × 10^-3

Write 42 900 000 in standard form.

4.29 × 10^7

Write 3.61 × 10^-3 as an ordinary number.

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Calculate (8.694 × 10^2) ÷ (6.21 × 10^-3) Give your answer in standard form.

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Write 0.21 × 10^6 in standard form.

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Calculate (6.7 × 10^4) × (3.4 × 10^-8) and give your answer as an ordinary number.

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Write 5.2 × 10^-1 as an ordinary number.

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Calculate the volume of a sphere with a radius of 6.4 × 10^6 metres. Give your answer in standard form to 1 decimal place.

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Find the mass of 250 electrons, given that one electron has a mass of 9.1 × 10^-31 grams.

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Simplify 3x + 4x – 2x

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Simplify 3m + 3m

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Simplify n+n+n

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Simplify a ´ b ´ c

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Simplify 5p – 2p

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Simplify 6h 3

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Simplify k+k+8

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Simplify 4 ´ 3x

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Simplify 7a – 3a + 6a

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Simplify 8g + 6h – 3g + h

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## Study Notes

### Standard Form Conversions

- 1.2 × 10^5 is equal to 120,000 as an ordinary number.
- 0.003 in standard form is 3 × 10^-3.
- 42,900,000 in standard form is 4.29 × 10^7.
- 3.61 × 10^-3 as an ordinary number is 0.00361.
- (8.694 × 10^2) ÷ (6.21 × 10^-3) is equal to 1.39 × 10^5.
- 0.21 × 10^6 in standard form is 2.1 × 10^5.

### Calculations

- (6.7 × 10^4) × (3.4 × 10^-8) is equal to 0.2288.
- 5.2 × 10^-1 as an ordinary number is 0.52.
- The volume of a sphere with a radius of 6.4 × 10^6 metres is 1.5 × 10^18 m^3.
- The mass of 250 electrons, given that one electron has a mass of 9.1 × 10^-31 grams, is 2.275 × 10^-28 grams.

### Simplifying Algebraic Expressions

- 3x + 4x – 2x simplifies to 5x.
- 3m + 3m simplifies to 6m.
- n+n+n simplifies to 3n.
- a ´ b ´ c simplifies to abc.
- 5p – 2p simplifies to 3p.
- 6h 3 (assumed to be 6h^3) simplifies to 6h^3.
- k+k+8 simplifies to 2k + 8.
- 4 ´ 3x simplifies to 12x.
- 7a – 3a + 6a simplifies to 10a.
- 8g + 6h – 3g + h simplifies to 5g + 7h.

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## Description

Test your knowledge of standard form with this GCSE-level quiz. Answer all questions and show your working out in the provided spaces. Pay attention to the marks for each question to manage your time effectively.