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Negative numbers: Add, subtract, multiply, divide

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Negative numbers: Add, subtract, multiply, divide

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Lowest common multiple and highest common factor

Square roots and cube roots

Writing indices and index laws

Standard form

Explainer Video

Tutor: Bilal

Summary

Negative numbers: Add, subtract, multiply, divide

In a nutshell

Negative numbers are numbers that are less than zero. It's possible to add, subtract, multiply and divide with them.

Adding and subtracting negative numbers

To add and subtract negative numbers, it is best done with a number line.

Maths; Types of numbers; KS3 Year 7; Negative numbers: Add, subtract, multiply, divide

When adding and subtracting with negative numbers, you should be aware of the following facts:

Move to the left on a number line to subtract.
Move to the right on a number line to add.
Subtracting a negative number is the same as adding a positive number.

Example 1

What is $-4+5$ ?

Start off at $-4$ on the number line, then move $5$ steps to the right.

Moving $5$ steps to the right ends up at $1$ .

$\underline{-4+5=1}$

Example 2

What is $10-(-5)$ ?

Subtracting a negative number is the same as adding a positive number. Therefore:

$10-(-5)=10+5=15$

$\underline{10-(-5)=15}$

Multiplying and dividing negative numbers

To multiply and divide negative numbers, multiply them as if they were positive numbers. If the two numbers have different signs (so if one is positive and the other is negative), then add a negative symbol to the answer.

Example 3

What is $-5\times-7$ ?

Multiply the two numbers together as if they were both positive:

$5\times7=35$

Since both numbers have the same sign (they are both negative), there is no need to change the sign of the answer.

$\underline{-5\times-7=35}$

Example 4

What is $100\div-10$ ?

Divide the two numbers as if they were both positive:

$100\div10=10$

The numbers have opposing signs - one is negative and one is positive. Hence, the answer will be negative.

$\underline{100\div-10=-10}$

Learn with Basics

Length:

Unit 1

Counting backwards through zero: Negative numbers

Unit 2

Negative numbers

Jump Ahead

Optional

Unit 3

Negative numbers: Add, subtract, multiply, divide

Final Test

Create an account to complete the exercises

FAQs - Frequently Asked Questions

How do you multiply and divide negative numbers?

Multiply/divide them as if they were positive, then add a negative symbol if the two numbers had different signs.

How do you add and subtract negative numbers?

Use a number line. Move to the right if adding a positive number or subtracting a negative number. Move to the left is subtracting a positive number or adding a negative number.

What is a negative number?

A negative number is a number that is less than zero.

Home

Maths

Types of numbers

Negative numbers: Add, subtract, multiply, divide

Videos

Summary

Exercises

Select Lesson

Statistics

Qualitative and quantitative data

Representing data: Graphs and charts

Mean, median, mode and range

Frequency tables

Averages from frequency tables

Averages from grouped frequency tables

Scatter graphs

Probability

Calculating probability

Equal and unequal probabilities

Relative frequency

Listing outcomes

Venn diagrams

Trigonometry

Pythagoras’ theorem

Trigonometric ratios: SOH CAH TOA

Finding missing lengths in a triangle

Finding missing angles in a triangle

Drawing shapes

Transformations

Constructions

Constructing triangles

Lines and angles

Types of angles

Angle rules

Interior and exterior angles

Parallel lines

Measures

Area and perimeter: Triangles and quadrilaterals

Area of compound shapes

Volume of prisms

Properties of shapes

Symmetrical shapes and rotational symmetry

Congruent shapes

Similar shapes

Nets and surface area

Shapes

Quadrilaterals: Types and properties

Triangles and regular polygons: Types and properties

Circles: Area and circumference

3D shapes: Identification and properties

Rates of change

Percentage change

Conversion factors

Imperial units

Solving best buy problems

Reading timetables

Maps and scale drawings

Speed: Formula and units

Density: Formula and units

Proportion

Ratio

Other graphs

Interpreting graphs

Solving simultaneous equations using graphs

Quadratic graphs

Travel graphs: Distance-time graphs

Conversion graphs

Straight line graphs

X and Y coordinates

Straight line graphs

Drawing straight line graphs

Finding the gradient

Equation of a straight line: y = mx + c

Drawing a graph of a linear equation

Estimating values using linear graphs

Formulae and equations

Substituting numbers into an expression

Writing and using formulae

Solving equations

Rearranging formulae

Number patterns and sequences

The nth term

Inequalities: Greater than or less than

Simultaneous equations

Algebraic manipulation

Algebraic notation

Algebraic terms

Simplifying algebraic expressions

Multiplying and dividing algebraic expressions

Single brackets: Expanding and factorising

Expanding double brackets: FOIL and multiplication grid

Fractions, decimals and percentages

Converting between fractions, decimals and percentages

Fractions

Fraction operations: Add, subtract, multiply, divide

Percentages

Rounding: Decimal places and significant figures

Rounding errors and estimating

Number calculations

Ordering numbers: Whole numbers and decimals

Addition and subtraction using the column method

Multiplying and dividing by powers of 10

Adding and subtracting decimals

Methods for multiplication and division

Order of operations: BIDMAS

Types of numbers

Understanding place value

Negative numbers: Add, subtract, multiply, divide

Special types of numbers

Multiples, factors and prime factors

Lowest common multiple and highest common factor

Square roots and cube roots

Writing indices and index laws

Standard form

Explainer Video

Tutor: Bilal

Explainer Video 1

Explainer Video 2

Summary

Negative numbers: Add, subtract, multiply, divide

In a nutshell

Negative numbers are numbers that are less than zero. It's possible to add, subtract, multiply and divide with them.

Adding and subtracting negative numbers

To add and subtract negative numbers, it is best done with a number line.

When adding and subtracting with negative numbers, you should be aware of the following facts:

Move to the left on a number line to subtract.
Move to the right on a number line to add.
Subtracting a negative number is the same as adding a positive number.

Example 1

What is $-4+5$ ?

Start off at $-4$ on the number line, then move $5$ steps to the right.

Moving $5$ steps to the right ends up at $1$ .

$\underline{-4+5=1}$

Example 2

What is $10-(-5)$ ?

Subtracting a negative number is the same as adding a positive number. Therefore:

$10-(-5)=10+5=15$

$\underline{10-(-5)=15}$

Multiplying and dividing negative numbers

Example 3

What is $-5\times-7$ ?

Multiply the two numbers together as if they were both positive:

$5\times7=35$

Since both numbers have the same sign (they are both negative), there is no need to change the sign of the answer.

$\underline{-5\times-7=35}$

Example 4

What is $100\div-10$ ?

Divide the two numbers as if they were both positive:

$100\div10=10$

The numbers have opposing signs - one is negative and one is positive. Hence, the answer will be negative.

$\underline{100\div-10=-10}$

Learn with Basics

Length:

Unit 1

Counting backwards through zero: Negative numbers

Unit 2

Negative numbers

Jump Ahead

Optional

Unit 3

Negative numbers: Add, subtract, multiply, divide

Final Test

Create an account to complete the exercises

FAQs - Frequently Asked Questions

How do you multiply and divide negative numbers?

Multiply/divide them as if they were positive, then add a negative symbol if the two numbers had different signs.

How do you add and subtract negative numbers?

Use a number line. Move to the right if adding a positive number or subtracting a negative number. Move to the left is subtracting a positive number or adding a negative number.

What is a negative number?

A negative number is a number that is less than zero.