2.1 Division

= ......................... ÷ ..................

= ..................

DID YOU KNOW?

We can also break up the divisor into factors :

E.g. 108 ÷ 12 = 108 ÷ 4 ÷ 3 = 27 ÷ 3 = 9

OR

108 ÷ 12 = 108 ÷ 2 ÷ 6 = 54 ÷ 6 = 9

3. Calculate the following by breaking up the divisor into factors :

3.1 105 ÷ 21 = ...................................... 3.2 216 ÷ 24 = ......................................

= ...................................... = ......................................

= ...................................... = ......................................

3.3 432 ÷ 24 = ...................................... 3.4 126 ÷ 14 = ......................................

= ...................................... = ......................................

= ...................................... = ......................................

4. Work together with a friend. Look carefully at the following and then explain it to two other friends.

4.1 184 ÷ 4 = (180 + 4) ÷ 4

= (180 ÷ 4) + (4 ÷ 4)

= 45 + 1

= 46

4.2 2 515 ÷ 5 = (2 000 + 500 + 15) ÷ 5

= (2 000 ÷ 5) + (500 ÷ 5) + (15 ÷ 5)

= 400 + 100 + 3

= 503

4.3 3 672 ÷ 12 = (3 600 ÷ 12) + (72 ÷ 12)

= 300 + 6

= 306

5. Complete the following:

5.1 3 045 ÷ 15 = (3 000 + ....................) ÷ 15

= (.................... ÷ 15) + (.................... ÷ 15)

= 200 + ....................

= ....................

5.2 2 575 ÷ 25 = (2 000 + .................... + ....................) ÷ 25

= (2 000 ÷ 25) + (.................... ÷ .............) + (............. ÷ ............)

= .................... + .................... + ....................

= ....................

5.3 Can you write down your own explanation?

Activity 7:

To be able to do mental arithmetic [lo 1.9.2]

1. Let us test your mental skills again. Find the correct answer and encircle it with your pencil. Find out who or what is hidden away.

1.1 96 ÷ 12

1.2 108 ÷ 9

1.3 72 ÷ 9

1.4 42 ÷ 6

1.5 54 ÷ 6

1.6 32 ÷ 8

1.7 27 ÷ 9

1.8 66 ÷ 11

1.9 81 ÷ 9

1.10 35 ÷ 7

1.11 21 ÷ 3

1.12 ____ ÷ 6 = 9

1.13 ____ ÷ 8 = 6

1.14 ____ ÷ 6 = 12

1.15 ___ ÷ 11 = 12

1.16 ____ ÷ 9 = 5

1.17 ____ ÷ 7 = 8

1.18 Halve: 96

1.19 Halve: 134

1.20 Halve: 576

Colour the pictures in neatly so that your answers are clearly visible.

Activity 8:

To estimate and calculate by using selected computations [lo 1.8.5]

1. We have already discussed the value of estimation . Let us see again how well you can estimate. Encircle the best answer.

2. Now use your calculator to see whether you were spot on.

Activity 9:

To be able to solve problems in context [lo 1.6.1]

• The following activity is a group project that you can add to your portfolio. Your educator will provide you with the necessary paper and will explain exactly what you are expected to do.
• Divide into groups of four or five and then read the assignment closely.
• Your group must visit at least three florists or flower vendors in your area. Your job is to determine which florist or vendor is the cheapest.