Skip to content
Exit presentation

Operations with Integers

Two dashes on one line

A lift is on level 5. The parking area is on level −3. How many levels apart?

Start at 5.
Step 1 of 3
  1. Start at 5.
  2. Take away −3.
  3. Two dashes turn the walk right. Land on 8.

From −3 to 0 is 3 levels. From 0 to 5 is 5 more. So they are 8 levels apart.

The gap is 5 − (−3). It has two dashes: the take-away sign and the minus of −3.

Rule: taking away a number below zero walks you right. The opposite of −3 is 3, so 5 − (−3) is 5 + 3. Adding 3 walks right.

Four take-aways, rewritten as adds
WrittenRewrittenLands on
5 − (−3)5 + 38
(−2) − (−6)(−2) + 64
(−9) − (−4)(−9) + 4−5
5 − 35 + (−3)2

Row three still ends below zero. Walking right does not always cross zero.

Slide the number taken away in the lab. Watch which way the walk goes.

Loading lab…

Jump to lesson

This track

  1. 0 Start here
  2. 1 Two moves the same way
  3. 2 A move each way
  4. 3 Taking away, another way round
  5. 4 Two dashes on one line
  6. 5 Without the line
  7. 6 Checkpoint: adding and taking away
  8. 7 The same move, counted again
  9. 8 Past the end of the times table
  10. 9 Sharing it out
  11. 10 What zero does
  12. 11 Where we use them
  13. 12 Checkpoint: multiplying, sharing and zero
  14. 13 Zero pairs
  15. 14 The additive inverse
  16. 15 Many numbers, one sign
  17. 16 A number times a bracket
  18. 17 The big picture
  19. 18 Track quiz

Other tracks