Simplifying multiplication and division using multiples of 10

Maths

Checking understanding of arithmetic procedures with integers and decimals

Securing understanding of arithmetic procedures with integers and decimals

Checking and securing understanding of negative numbers in context

Addition of positive and negative integers

Subtraction of positive and negative integers

Checking and securing understanding of written addition and subtraction strategies

Checking and securing understanding of multiplication and division

Multiplication and division where only one value is negative

Multiplication and division where two or more values are negative

Multiplying with decimals

Dividing with decimals

Priority of operations with positive integers

Priority of operations with positive and negative integers and decimals

Using the associative, commutative and distributive laws together

Using your calculator efficiently

Problem solving with integers and decimals

Pupils use their understanding of place value and fluency with decimals from this unit in order to extend this understanding to fractions.  In the future unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required.

The prior unit on factors, multiples, squares and cubes helped pupils build on their understanding that any positive integer can be expressed as a product of its factors. This skill is used here to explore multiplying and dividing with decimals.

In this unit pupils develop their ability and efficacy with the four operations including more complicated and challenging calculations involving fractions, decimals and negative numbers. This leads into an exploration of the priority order of operations.

Arithmetic procedures with integers and decimals

Complete the statement. Dividing by 10 is equivalent to multiplying by {{ }}.

Given that the product of 3 and 5 is 15, complete the statement. The product of 0.003 and 500 is __________ 15.

Which of the following calculations have the decimal point in the correct place?

Use the multiples of $$10^n$$ to work out $$40\;000 \times 0.002=$${{ }}

Use the multiples of $$10^n$$ to work out $$480\;000 \div 1600 = $${{ }}

Select all the calculations which have a negative answer.

Match each multiplication to the correct product. 

Work out: $$(-100)\div5\div(-2)\div(-5)=$$ {{ }}

Starter Quiz

Select all the calculations which have a negative answer.