Skip to content
Exit presentation

Operations with Integers

Past the end of the times table

The −6 times table gives −18, −12, −6, 0. What comes after 0?

Counts 3, 2, 1, 0 give −18, −12, −6, 0.
Step 1 of 4
  1. Counts 3, 2, 1, 0 give −18, −12, −6, 0.
  2. Each step right is a gap of 6.
  3. Carry the gap past zero: count −1 gives 6.
  4. Count −2 gives 12.

After 0 comes 6. Each row is 6 more than the row before it. So 0 + 6 = 6 comes next. Then 6 + 6 = 12.

Rule: neither number is zero? Then the signs decide. Same signs, multiplied, give a positive answer. Different signs, multiplied, give a negative answer.

(−6) × (−1) = 6. (−6) × (−2) = 12.

Adding is a different job. Two negatives add to a negative number. A mixed pair takes the bigger move's side.

Watch out!

"Two negatives make a positive" is not always true. True for multiplying: (−3) × (−4) = 12. False for adding: (−3) + (−4) = −7. Same two numbers — so read the operation sign first.

Slide the count below zero in the lab. Watch the pattern carry on.

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