The absolute value of a number is its distance from zero. E.g. 5 and (-5) are both 5 away from zero and so both have an absolute value of 5.

A product is the result of two or more numbers multiplied together.

Multiplication and division where two or more values are negative

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

Simplifying multiplication and division using multiples of 10

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

Select all the calculations which will have a negative answer. 

Match each multiplication to the correct product. 

$$(-1)\times(-2)\times(-3)\times(-4)=(-24)$$

$$(-1)\times(-2)\times(-3)\times(-4)=24$$

Work out: $$(-144)\div(-2)\div3\div(-6)=$$ {{ }}

Match each calculation to its correct answer.

Select all the calculations that have a product of $$-24$$

Select all the calculations that have an answer of $$-7$$

Match each multiplication calculation to a division calculation with the same answer.

Multiplication and division where two or more values are negative

Lesson outcome