# 2.1 To recognise, classify and represent numbers

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## Memorandum

1.4 9 12 888

15

18

1 476 195 361

No matter in which order you multiply – answer remains the same.

## Activity: to recognise, classify and represent numbers [lo 1.3.6]

1. MORE REVISION!

How many factors can you write down for each product?

 E.g. 12 12 × 1 1.1 ____________________ 2 × 6 ____________________ 3 × 4 ____________________ 4 × 3 42 ____________________ 6 × 2 ____________________ 1 × 12 ____________________ ____________________ ____________________
 1.2 ____________________ 1.3 ____________________ ____________________ ____________________ ____________________ ____________________ 64 ____________________ 72 ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________ ____________________

BRAIN-TEASER!

Find the following factors (you may use your calculator, if necessary):

a) 3 786

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

b) 8 742

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

1.4 Compete with a friend to see whose answers are written down first:

9 x 7 = 7 x__________________

716 x 18 = __________________

__________________ v 16 = 16 x 15

18 x 716 = 12 888

324 x __________________ = 18 x 324

563 v 347 = 195 361

1 476 x 326 = 326 x__________________

347 x 536 = __________________

• What do you realise?

DID YOU KNOW?

We call the above the COMMUTATIVE PROPERTY of multiplication.

DID YOU ALSO KNOW?

The ASSOCIATIVE PROPERTY of multiplication looks like this:

(6 x 5) x 2 = 6 x (2 x 5)

2 x (3 x 4) = (2 x 3) x 4

Thus, it makes no difference how we GROUP the numbers because the answer stays the same.

## Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.3: We know this when the learner recognises and represents the following numbers in order to describe and compare them:

1.3.6: multiples and factors of at least any 2-digit and 3-digit whole number.

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