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Negative numbers · Usually met around P5

Negative numbers around us

Which side of 0, then how far from 0.

How to do it

Method

Which side of 0, then how far from 0

5 degrees below zero = −5°C; B2 is like −2

Another way

Number line

−5 is 5 steps left of 0

In full

A number less than 0 is negative, written with a minus sign in front: −5 is said “negative five”. On a thermometer, the marks below 0°C are negative: −5°C is 5 degrees below zero. On a number line, positive numbers are to the right of 0 and negative ones to the left: −5 is 5 steps left of 0. In a lift, the ground floor G is like 0, and B1 and B2, the 1st and 2nd floors below ground, are like −1 and −2. Sea level is 0 m, and 30 m below sea level is written −30 m. To read a negative number, see which side of 0 it is on, then count how far it is from 0; or lay the thermometer on its side and read it as a number line.

Worked examples

Have a go first, then open each one for the answer and the working.

  1. Example 1

    What temperature does the thermometer show?

    • A. 14°C
    • B. -13°C
    • C. -15°C
    • D. -14°C

    Choose the right answer

    Show the answer and working

    Answer: D. -14°C

    The top of the liquid is 14 marks below 0°C, 1 degree a mark: 14 degrees below zero, which is -14°C.

  2. Example 2

    Taking sea level as 0 m, a place at a height of 60 m is below sea level.

    True or false?

    Show the answer and working

    Answer: False

    Heights less than 0 (negative) are below sea level, and those more than 0 are above it: see whether 60 has a minus sign.

  3. Example 3

    What number is the arrow pointing to on the number line?

    • A. -5
    • B. 4
    • C. -4
    • D. -3

    Choose the right answer

    Show the answer and working

    Answer: C. -4

    The arrow is 4 steps left of 0, so the number is negative: -4.

Practise it in the game →Negative numbers · Free to start, unlimited questions, no download