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Year 7 Mathematics Number & Algebra AC9M7N02

Directed Numbers

Directed numbers (integers) include positive numbers, negative numbers, and zero. They are used to describe quantities that can have both size and direction, such as temperature, debt, and altitude.

What You Need to Know

Key Concept Diagram

Adding a negative number is the same as subtracting: 5 + (−3) = 5 − 3 = 2

Subtracting a negative number is the same as adding: 5 − (−3) = 5 + 3 = 8

Multiplying or dividing two numbers with the same sign gives a positive result

Multiplying or dividing two numbers with different signs gives a negative result

Key Vocabulary

Directed number

A number with both a size (magnitude) and a sign (+ or −)

Integer

A whole number — positive, negative, or zero

Positive

Greater than zero; to the right of zero on the number line

Negative

Less than zero; to the left of zero on the number line

Knowledge Check

Select the correct answer for each question. Click "Check Answer" to see if you are right.

Question 1

Calculate: −4 + (−7)

Question 2

Calculate: −6 − (−2)

Question 3

Calculate: (−3) x (−5)

Key Concepts Summary