Integers: numbers below 0
Negative numbers on the number line: compare, add and subtract. Read one step, play with it, then tap “I understand this”.
Numbers below 0
When it is very cold, the temperature drops below 0 °C: −3 °C is three degrees below freezing. Numbers below 0 are negative numbers.
The thermometer line
Change the temperature.
Compare and order
On the number line a number further left is always smaller. That is why −8 < −2, even though 8 looks bigger than 2.
−10 is smaller than −1. Think of debt: owing R10 leaves you with less than owing R1.
Adding with negative numbers
Adding a positive number: jump right. Adding a negative number: jump left. 3 + (−7) = −4.
The jumping machine
Choose add or subtract and change the numbers.
Subtracting with negative numbers
Subtracting a negative is the same as adding: 5 − (−3) = 5 + 3 = 8. The two minuses become a plus.
− (−) becomes + . Think: if someone takes a debt away from you, you are richer.
Look at the pattern: 5 − 2 = 3, 5 − 1 = 4, 5 − 0 = 5. Every time you subtract 1 less, the answer gets 1 bigger. The pattern carries on: 5 − (−1) = 6.
Practise
Jump on the line
Choose the right answer.
Correct: 0Check yourself
- On the number line a number further left is always smaller: −8 < −2.
- Add a positive number: jump right. A negative one: jump left.
- Subtract a negative number = add the positive: 5 − (−3) = 8.
Write these points in your maths book. Read them again the night before the test.
Quick questions
Tap an answer. If you get one wrong, read why and go back to that step. You get new questions every time.
You ticked all 5 steps! Now you are ready for the quiz.- Practice sheet for this classQuestions + memo · 2 A4 pagesPractice sheet
- Numbers9 pages · PDFPaperMemo
Ready for more? The Grade 7 integers quiz gives you new sums every time.
- One step a day is enough. Ten calm minutes work better than an hour the night before the test.
- Use the weather forecast: “This morning it was −2 °C and this afternoon 14 °C. How many degrees warmer did it get?”
- Ask your child to tell you the rule in their own words. If they can explain it, they understand it.
- The ticks (“I understand this”) are saved on this device only. We never ask for names or emails.
Follows CAPS for Grade 7 Maths. Always check your teacher’s notes and textbook too.
