Long Jumps
I am learning to solve division problems using the repeated
addition and multiplication facts I know.
3+3+3+3
4X3
Below is a number line. The kangaroo is on number 36 and can
jump back in jumps of six. How many jumps will it take to get
from 36 back to 0. 36 ÷ 6 = ?
We could work out the answer to this question by skip counting in
sixes. e.g. 6, 12, 18, 24 etc. (until we get to 36)
Let’s see what this would look like.
You can see it took 6 jumps to go from zero to 36.
You could also record it like this: 6, 12, 18, 24, 30, 36
0
6
12
18
24
30
36
Now let’s solve this same problem using repeated subtraction. 36 ÷ 6 = ?
The kangaroo can jump back in sixes so we must subtract in sixes.
e.g. 30, 24, 18 (until we get to 0)
Let’s see what this would look like.
You can see it took 6 jumps to go from 36 to zero.
You could record it like this: 30, 24, 18, 12, 6, 0
0
6
12
18
24
30
36
We could also use our multiplication basic facts to help us solve
this question. 36 ÷ 6 = ?
The kangaroo can jump in sixes so we must think how many jumps
of 6 will get us to 36.
? X 6 = 36 remember this is the same as working out 6 X ? = 36
Let’s see what this looks like.
0
6
12
6 X 6 = 36
18
24
30
36
If you know your division facts we could also work it out this way.
36 ÷ 6 = ?
Let’s see what this looks like.
0
6
12
36 ÷ 6 = 6
18
24
30
36
A rabbit is at 36 on the number line. It can jump in leaps of 4. How
many jumps must it make to get back to zero. 36 ÷ 4 = ?
Choose one of the methods we have looked at previously and
try to work this out on your own.
I’m going to use repeated addition. Let’s see what this will look
like.
4, 8, 12, 16, 20, 24, 28, 32, 36. That’s 9 jumps.
9 = 36.
If I used my multiplication basic facts that would be 4 X …..
0
4
8
12
16
20
24
28
32
36
Now try these questions on your own.
You may need a number line to help you solve these questions.
1) 15 ÷ 3 = ?
5
2) 24 ÷ 8 = ?
3
3) 21 ÷ 7 = ?
3
4) 35 ÷ 5 = ?
7
5) 27 ÷ 9 = ?
3
Need some more practise? Try Pg27 & 28 of Teacher Tools Multiplication
and Division Book Numeracy resources