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Standard Form Practice

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Standard Form Practice

Help the aquarium team check and use very large and very small measurements. In UK maths, standard form is written as a × 10ⁿ, where 1 ≤ a < 10. Show working for calculation questions. Use a decimal point in your answers.

Write numbers in standard form

The aquarium team records measurements from its tanks and research samples. Use the standard form rule that the first number, a, must be at least 1 and less than 10.

1.A large tank holds 45,000 litres of water. Write 45,000 in standard form.
2.A sample contains 0.0023 grams of a mineral. Write 0.0023 in standard form.
3.The aquarium estimates that 780,000,000 tiny plankton pass through a filter. Write this number in standard form.
4.Which option writes 340,000 correctly in standard form?
  • 34 × 10⁴
  • 3.4 × 10⁵
  • 3.4 × 10⁴
  • 0.34 × 10⁶
5.Complete: 10⁻³ = 1/ .

Decode the measurements

Move the decimal point the right number of places to turn each value into an ordinary number.

6.A sensor reading is 3.2 × 10⁶. Write it as an ordinary number.
7.A tiny measurement is 7.5 × 10⁻⁴ metres. Write it as an ordinary decimal.
8.Which ordinary number is equal to 4.8 × 10⁻³?
  • 0.048
  • 0.0048
  • 0.00048
  • 4,800
9.True or false? 6.7 × 10⁻² is equal to 0.067. If it is false, write the correct ordinary number.
TrueFalse

Use powers of ten

Multiply or divide the numbers in front, then combine the powers of ten. Put each final answer in standard form.

10.A research counter processes (2 × 10⁴) × (3 × 10²) plankton records. Calculate the product and give your answer in standard form.
11.A large data total, 8 × 10⁶, is shared equally between 4 × 10³ records. Calculate (8 × 10⁶) ÷ (4 × 10³), giving your answer in standard form.

Compare and order powers of ten

Compare the values of the powers of ten and arrange them from smallest to largest.

12.Put these powers of ten in order from smallest to largest: 10⁴, 10⁻², 10⁰, 10⁻⁵.
-5-4-3-2-101234

2 printable pages

  • Standard Form Practice, page 1 of 2: Write numbers in standard form, Decode the measurements

    Page 1

  • Standard Form Practice, page 2 of 2: Use powers of ten, Compare and order powers of ten

    Page 2

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