# 2.15 To use a range of techniques for performing calculations

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## Memorandum

 420 ÷ 40 9,952 1 500 ÷ 50 28,358 4 440 ÷ 30 143,065 25 240 ÷ 40 573,545 68 440 ÷ 70 1052,877

## Brain teasers

x Divider with answer / number before the comma.

Subtract this answer from the dividend.

## Content

Activity: To use a range of techniques for performing calculations [LO 1.10.2, LO 1.10.5]

1. It helps a lot to first ESTIMATE an answer before you calculate the quotient. Work through the following examples with a friend:

2. Complete the following table on your own. You may use a calculator for the answers in the last column.

 SUM ROUND OFF ESTIMATED ANSWER ACTUAL ANSWER E.g. 87 ÷ 22 90 ÷ 20 4 4,5 2.1 418 ÷ 42 ............................ ............................ ............................ 2.2 1 503 ÷ 53 ............................ ............................ ............................ 2.3 4 435 ÷ 31 ............................ ............................ ............................ 2.4 25 236 ÷ 44 ............................ ............................ ............................ 2.5 68 437 ÷ 65 ............................ ............................ ............................

Did you know?

In the sum 77 ÷ 22 = 3,5, the ,5 shown on the calculator is NOT the remainder but actually a decimal fraction!

,5 = 5 tenths

77 ÷ 22 = 3 rem 11

• Can you see that ,5 is not equal to 11, but

to 0,5 of 22, which is 11?

BRAIN-TEASER!

• How can you use your calculator to find a whole number remainder?

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## 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 1.10: We know this when the learner uses a range of techniques to perform written and mental calculations with whole numbers including:

1.10.2: long division;

1.10.5: using a calculator.

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