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

The associative law states that a repeated application of the operation produces the same result regardless of how pairs of values are grouped. We can group using brackets.

Checking and securing understanding of writing large numbers in standard form

Maths

Checking and securing understanding of writing small numbers in standard form

Adding 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

Match each number to its standard form equivalent.

Which of the following numbers have **not** been written in standard form?

Match each number to its correct standard form equivalent. 

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

Starting with the place with the smallest population, put these towns and cities in ascending order of population size. 

$$4\text{ } 500\text{ }000\text{ }000$$ km   

$$22\text{ }800\text{ }000\text{ }000\text{ }000$$ cm

$$150\text{ } 000 \text{ }000\text{ }000$$ m

Saturn is $$1.43\times10^9$$ km from the Sun. Neptune is further from the Sun than Saturn. Which of these lengths could show the distance from the Sun to Neptune?

Standard form is when a number is written in the form $$A \times 10^n$$, (where ___________ and $$n$$ is an integer).

Which of the following numbers are written in standard form?

Match each number written in exponent form with its place value.

Match each measurement to an equivalent measurement. 

Starting with the smallest, put these measurements in order of size.

0.03 km + 4.9 m + 560 mm is equal to {{ }} centimetres.

Starter Quiz

Standard form is when a number is written in the form $$A \times 10^n$$, (where ___________ and $$n$$ is an integer).