Standard Form - 5 Examples

Now that you have learned how to express very large and very small numbers in standard form, as well as how to interpret standard form in words, we will go through 5 examples to strengthen your understanding of these concepts.

Related Lessons:
  1. S3 Standard Form

Standard Form Example 1

Express the following ordinary notation in standard form correct to 3 significant figures:
  1. 7240
  2. 0.02025
  3. 628456
  4. 0.00001234

Standard Form Example 2

Evaluate the following without a calculator and give your answers in standard for
  1. \((2.4×10^5 )÷(4.8×10^{−3})\)
  2. \(3.7×10^{−4}−1.6×10^{−5}\)

Standard Form Example 3

Given that \(𝑝=9.25×10^{−99}\) and \(𝑞=4.76×10^{−96}\) , express in standard form
  1. \(\frac{𝑞}{𝑝}\)
  2. \(3𝑞−𝑝\)

Standard Form Example 4

Light travels 1 metre in 3.3 nanoseconds. Find the total distance in metres that light will travel in 6.6 microseconds.

Standard Form Example 5

The mass of one atom of nitrogen is \(2.33×10^{−11}\) picograms.
  1. Express this mass in grams, giving your answer in standard form.
  2. A molecule of nitrogen dioxide (NO2) contains one atom of nitrogen and two atoms of oxygen. Given that the mass of one atom of oxygen is \(2.66×10^{−23}\) grams, find the mass of one molecule of nitrogen dioxide. Give your answer in grams in standard form.
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Related Lessons:

  1. S3 Standard Form

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