Standard form - Standard form is when a number is written in the form A × 10^n, (where 1 ≤ A < 10 and n is an integer).

Subtracting numbers in standard form

Maths

Checking and securing understanding of writing large numbers in standard form

Checking and securing understanding of writing small numbers in standard form

Adding numbers in standard form

Multiplying numbers in standard form

Dividing numbers in standard form

Problem solving with standard form calculations

In the prior unit, pupils formalised their understanding of the index laws. This understanding will allow them to perform calculations with values written in standard form more efficiently.

In this unit pupils will learn how to add, subtract, multiply and divide numbers written in standard form.

Standard form calculations

Work out $$9.8\times10^5 - 6.8\times10^5 $$, giving your answer in standard form.

Work out $$3\times10^{-8} - 1.8\times10^{-8} $$, giving your answer in standard form.

Work out $$2.4\times10^7  - 3\text{ } 700\text{ }000$$, giving your answer in standard form.

Work out $$4.9\times10^6- 280\text{ }000$$, giving your answer in standard form.

Work out  $$9.38 \times 10^{10} -  1 \text{ } 300 \text{ } 000 \text{ } 000$$. Give your answer in standard form.

 $$9$$ mm − $$ 0.5$$ cm  − $$2\times10^{-3}$$ m = {{}} metres.

Match each number in standard form to its equivalent ordinary number.

Without a calculator, work out 3.42 – 1.23.

Without a calculator, work out 28.48 – 3.203.

Without a calculator, work out 12.4 – 2.42 + 4.64.

Match each number to a correct statement about that number.

Starter Quiz

Match each number in standard form to its equivalent ordinary number.