Reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Multiplicative relationships

Maths

The multiplicative relationship is extended in the future unit by considering percentages and the connections between multiplicative relationships and direct proportion. By building on a secure understanding of fractions and ratio, pupils can see their understanding of multiplicative relationships being extended.

In the prior unit, pupils generalised and developed their fluency of multiplying with fractions. In this unit, this understanding is extended to ratio and connections between ratios and fractions are explored.

Understanding multiplicative relationships: fractions and ratio

Only using one step, what is the additive relationship for the connection of these numbers?

What two steps can be applied here for the connection of these numbers?

There is none as it is division not multiplication

Using the function machine, what is the multiplicative relationship between the numbers?

What is the single additive step that connects these numbers?

Using the values in the table, match the following.

A ____________ is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its __________ is equal to 1

What is the additive relationship between the numbers shown? 

Match the numbers with their reciprocal. 

Which of these operations could connect these two numbers?

Which of these would fit the multiplicative relationship?

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