This document provides practice problems and explanations for working with negative numbers. It uses an analogy of water temperature in a bath to help understand adding and subtracting negatives. The key points are: - To add negatives, think of turning on the cold water tap which lowers the temperature. To subtract negatives, think of turning off the cold tap which raises the temperature. - The number line can also help visualize negatives and their relative positions. - Sample problems are given to practice adding, subtracting, multiplying and dividing negatives using the temperature analogy.

1. 6 week Countdown to GCSE Maths
The Community Maths School Revision Program – Foundation Level
DAY 40 Negatives
Solutions to Day 41 Topic Questions
1 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
2 4 x 15 = 60
3 16 – 1, 2, 4, 8, 16 HCF 8 4 12 – 12,24,36,48,60,72,........ LCM = 36
40 – 1, 2, 4, 5,8,10, 20, 40 18 – 18, 36...............................
When working with negative numbers it will always help to think about the number
line – it might even help to quickly draw one out in the exam. I always think about
negatives and positives as temperatures
You need to remember these
– a verycheesywayto rememberthisisthroughthe DeadlyNegative Ningas Song

2. 6 week Countdown to GCSE Maths
The Community Maths School Revision Program – Foundation Level
Adding and Subtracting is alittle different.
If you imagine fillingupa bathwithhot and coldwaterthrougha mixertap.
The startingnumberof the questionisthe temperatureof the bathwater.
If you subtract youare turningoff the tap.If youadd youare turningthe tap on.
The hot tap is the positive numbers,the coldtapthe negatives.
So to workout 3 - - 2 You are startingwithwatera temperature of 3 and thenturningoff
the cold tap.This meansthatthe temperature goesup2 to 5.
-4 – 6 You are startingwitha temperature of –4 but turningoff the hot
tap so that the temperature willgodown6 to a temperature of -10
-2 - -5 You are startingwitha temperature of -2but turningoff the coldtap
so that the temperature willgoup5 to a temperature of 3
Today’s Topic Questions
1 Place inorderof size -3 4 12 -5 0 -7
2 What isthe difference intemperature -6 ° and -9 °
3 -5 x -7
4 - 15 / 5
5 -6 - -7
6 -10 + -5