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 small numbers in standard form

Maths

Checking and securing understanding of writing large 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 ordinary number to its standard form equivalent.

Which of the following 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 of size.

Some Oak pupils estimate the size of a cell. Their teacher says, "Well done! The person who has written down the smallest answer is correct!" Who has the right answer? 

Match each living creature to its length.

A number written in exponential form represents a repeated __________.

Match each fraction to its equivalent exponential form.

$$3\times10^{-2}+2\times10^{-5}+8\times10^{-6}$$ represents the number {{ }}.

It helps concisely write very big or very small numbers.

It guarantees no errors when calculating with big or small numbers.

$${2.45}\times10^{6}$$ as an ordinary number is {{}}.

Work out $$\frac{1}{10}  + 10^{-1} + \frac{1}{100} +   10^{-2} + \frac{1}{1000}+ 10^{-3}$$. The answer as a decimal is {{ }}.

Checking and securing understanding of writing small numbers in standard form

Lesson outcome