Mathematical Literacy Level 2 Module 2

Mathematical Literacy NQF 2 Downloaded from hlayiso.com Maths Lit NQF Level 2

Calculate and solve problems Module 2 Downloaded from hlayiso.com Maths Lit NQF Level 2

Overview 2.1 Basic operations on a calculator 2.2 Calculations on fractions, decimals and percentages Downloaded from hlayiso.com Maths Lit NQF Level 2

Basic operations on a calculator Unit 2.1 Get to know how your own calculator works. Note: ON or C clears everything Basic calculators do the operations in the order that the keys are pressed. change a number to negative They don't use BODMAS find the Scientific calculators use percentage of a BODMAS. number find the square operation keys + - x ÷ = root of a number clears last entry enter a decimal number using the decimal point Downloaded from hlayiso.com Maths Lit NQF Level 2

More complex operations on whole Unit 2.1 numbers Squares and cubes: • 7 squared is written 72 and means 7 x 7. • On a basic calculator, press 7 x 7 =. • 7 cubed is written 73 and means 7 x 7 x 7. Downloaded from hlayiso.com Maths Lit NQF Level 2

More complex operations on whole Unit 2.1 numbers Square roots: • To find the square root of a number, we find a number multiplied by itself to get the original number. • The square root of 36 is 6, because 6 x 6 = 36. • On a calculator, enter the number and then Downloaded from hlayiso.com Maths Lit NQF Level 2

More complex operations on whole Unit 2.1 numbers Numbers that are not perfect squares > Example 2.4 page 29 Find the side of square with an area of 74 units. • Key sequence is 74 • Display shows 8,602325... • Answer 8,60 units rounded to 2 decimal places. Downloaded from hlayiso.com Maths Lit NQF Level 2

More complex operations on whole Unit 2.1 numbers The memory keys Use M+ to add a number to the memory Use M- to subtract a number from a number already in the memory. Press MRC once to show the number stored Press MRC twice to clear the number from the memory. Downloaded from hlayiso.com Maths Lit NQF Level 2

Using the memory keys Unit 2.1 Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 2.5 page 30 Unit 2.1 1. Show the key sequences and then give the answers to: 100 − 17 a) 300 + 5 b) 750 − ( 27 × 19 ) + 45 Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 2.5 page 30 Unit 2.1 1a) 300 + 100 − 17 5 100 − 17 means (100 - 17) divided by 5. 5 Key sequence: 300 100 17 5 Display: 316,6 Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 2.5 page 30 Unit 2.1 1b) 750 − ( 27 × 19 ) + 45 Key sequence: 750 27 x 19 45 Display: 282 Downloaded from hlayiso.com Maths Lit NQF Level 2

Exercise 2.3 Unit 2.1 Complete Exercise 2.3 on page 30 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 2

Getting to know your scientific calculator Unit 2.2 How to know that you are using a scientific calculator: • It looks a bit like this one here • The calculation still appears on the screen with the answer • You can use the arrow key to scroll back through the calculation. Note: Check all the details about scientific calculators on pages 31 and 32. Work out how to do all the things that are mentioned on these two pages. Downloaded from hlayiso.com Maths Lit NQF Level 2

Calculations on fractions, decimals and percentages Unit 2.2 Even with a calculator, you need to know how fractions work! Adding and subtracting fractions Method 1 To add and subtract fractions, you must find a common denominator first 1 2 1 + + LCD is 6 2 3 6 3 4 1 = + + 6 6 6 8 4 1 = = =1 6 3 3 Downloaded from hlayiso.com Maths Lit NQF Level 2

Calculations on fractions, decimals and percentages Unit 2.2 Even with a calculator, you need to know how fractions work! Adding and subtracting fractions Method 2 • Treat each fraction as a separate division calculation 4 e.g. 5 = 4 ÷ 5 • Put the answers in the memory • Add or subtract from the memory and press Downloaded from hlayiso.com Maths Lit NQF Level 2

Multiplying Unit 2.2 fractions > Example 2.7 page 34 2 1. Find of R65 5 Without a calculator: With a calculator: 2 2 13 5 x R65 = 5 x 65 2 5 65 Cancel common factors in numerator and denominator = R26 = R26 Downloaded from hlayiso.com Maths Lit NQF Level 2

Dividing Unit 2.2 fractions > Example 2.8 page 35 Calculate 7 ÷ 3 5 5 Without a calculator: With a calculator: 7 5 Invert the second = × 5 3 fraction and multiply 3 5 out. 7 = 3 7 5 =2 1 = 2,33 3 Downloaded from hlayiso.com Maths Lit NQF Level 2

Working Unit 2.2 with decimals Converting decimals to fractions: 2 1 b) 0,02 = = 100 50 136 34 1,36 = = c) 100 25 Converting fractions to decimals: 3 4 = 3 ÷ 4 = 0,75 Calculator keys: 3 4 Downloaded from hlayiso.com Maths Lit NQF Level 2

Exercise 2.6 Unit 2.2 Complete Exercise 2.6 on page 40 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 2

Adding and subtracting decimals Unit 2.2 Calculate 12,362 + 7,419 12,362 Line up decimal commas + 7,419 19,781 Downloaded from hlayiso.com Maths Lit NQF Level 2

Multiplying decimals Unit 2.2 Downloaded from hlayiso.com Maths Lit NQF Level 2

Multiplying decimals Unit 2.2 > Example 2.17 page 42 Calculate: a) 1,2 x 2 b) 1,2 x 0,2 c) 1,2 x 0,02 We know that 12 x 2 = 24. a) 1,2 x 2 = 2,4 1 decimal number after the comma b) 1,2 x 0,2 = 0,24 1 + 1 decimal place results in 2 decimal places in answer c) 1,2 x 0,02 = 0,024 1 + 2 decimal places results in 3 decimal places in answer Downloaded from hlayiso.com Maths Lit NQF Level 2

Multiplying decimals Unit 2.2 > Example 2.18 page 42 Calculate: 41,563 x 100 41,563 x 100 → move decimal 2 places right = 4 156,3 Downloaded from hlayiso.com Maths Lit NQF Level 2

Dividing decimals Unit 2.2 > Example 2.19 page 42 Calculate: 41,56 ÷ 1 000 41,56 ÷ 1 000 → move decimal 3 places left = 0,04156 Downloaded from hlayiso.com Maths Lit NQF Level 2

Exercise 2.7 Unit 2.2 Complete Exercise 2.7 on page 42 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 2

Working with percentages Unit 2.2 Downloaded from hlayiso.com Maths Lit NQF Level 2

Working with percentage Unit 2.2 • Percentages are fractions with a denominator of 100. • 19% means 19 parts in every 100. 19 19% means 100 or 0,19 35 • 35% of 50 can be rewritten as × 50 = R17,50 100 Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 2.20 page 44 Unit 2.2 a) Write 28% as a fraction in its simplest form. b) Write 25% as a decimal fraction. c) Change 0,4 to a percentage. d) Change 9 to a percentage. 20 Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 2.20 page 44 Unit 2.2 e) Calculate 25% of 200. f) Calculate 31% of R2,86. g) Calculate 27% of R18. Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 2.20 page 44 Unit 2.2 28 7 a) = 100 25 25 b) = 25 ÷ 100 = 0,25 100 c) 0,4 × 100 = 40% 9 d) × 100 = 9 × 5 = 45% 20 Downloaded from hlayiso.com Maths Lit NQF Level 2

Example 2.20 page 44 Unit 2.2 e) ‘Of’ means multiply so 25 × 200 = 50 100 31 f) × 2,86 = 0,8866 = 89c 100 27 g) × 18 = R4,86 100 Downloaded from hlayiso.com Maths Lit NQF Level 2

Exercise 2.8 Unit 2.2 Complete Exercise 2.8 on page 44 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 2

Module assessment Module 2 Complete Module assessment on page 46 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 2

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