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

Adding 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

Subtracting 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 $$1.8\times10^5 + 5.6\times10^5 $$, giving your answer in standard form.

Work out $$3\times10^{-8} + 4.8\times10^{-8} $$, giving your answer in standard form.

Work out $$1.4\times10^5 + 4\text{ }700\text{ }000$$, giving your answer in standard form.

Work out $$4.9\times10^4 + 280\text{ } 000$$, giving your answer in standard form.

Find the sum of $$9.38\times10^{10}$$  and $$1\text{ }300\text{ }000\text{ }000$$. Give your answer in standard form.

Work out $$2$$ mm + $$0.5$$ cm + $$2\times10^{-3}$$ m. Give your answer in metres.

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

Without a calculator, work out 39.38 + 9.3. The answer as a decimal is {{ }}.

Starting with the smallest, put these numbers into ascending order of size.

Match each number to its correct standard form equivalent.

The Pacific Ocean has an approximate surface area of 166 000 000 km² and the Indian Ocean is approximately 73 000 000 km². What is the total surface area, in standard form, of these two oceans?

Work out 0.04 m + 12 cm +  45 mm + 0.0008 km. The answer is {{ }} centimetres. 

Adding numbers in standard form

Lesson outcome