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

Writing large numbers in standard form

Maths

Checking and securing understanding of multiples of 10

Checking and further securing understanding of the commutative law

Multiples of 10 involving negative exponents

Writing small numbers in standard form

Ordering numbers in standard form

Problem solving with standard form

The conditions for standard form mean that pupils have explored how different powers of 10 can be written. In this unit, this understanding is generalised and the index laws formalised. 

In the prior unit, pupils learnt how to factorise multiples of 10 in order to simplify calculations. This understanding is built on in this unit as values are converted to meet the conditions for standard form. 

In this unit pupils learn to recognise, interpret and write in standard form. Pupils then extend this knowledge so that they can order numbers written in standard form.

Standard form

Which of the following are written in exponential form?

Which of the following are written in standard form?

Match each ordinary number to the equivalent number written in standard form.

$${1.8}\times10^{4}$$ as an ordinary number is {{ }}.

What is covered up on the calculator display?

A number written in __________ form represents a repeated multiplication.

Which of the following are equivalent to $$8000\times8000$$?

Which of the following are equivalent to $$3.5\times0.03$$?

Match each number written in exponent form with its value. 

Which of the following calculations are equivalent to 400 × 700?

Without using a calculator, work out 3.4 × 2.5.

Starter Quiz

A number written in __________ form represents a repeated multiplication.