Unit 1. Activity 1. Whole numbers. 1. Copy and complete each number pattern.
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2 2 Unit 1 Whole numbers Activity 1 1. Copy and complete each number pattern Write these words as numbers. a. five hundred and twelve thousand four hundred and seventy b. one hundred and fifty seven thousand eight hundred and thirteen c. two hundred and sixty two thousand six hundred and nineteen d. eight hundred and seventy nine thousand and nine 3. Write these numbers in words. a b c d e f g h
3 3 4. Place Value Example Hundred Ten Thousand Hundred Ten Unit Thousand Thousand What is the value of the 7 in these numbers? a b c d e f g h Compare these numbers. Use < ; > or =. a b c d e f Arrange these numbers from biggest to smallest. a ; ; ; ; b ; ; ; ; c ; ; ; ; Underline odd numbers.
4 4 7. Rounding off to the nearest 5, 10, 100 and Remember the rule for rounding off to the nearest 5: and 2 are closer to 0 than 5 6 and 7 are closer to 5 than to 10 3 and 4 are closer to 5 than 0 8 and 9 are closer to 10 than to Examples: Copy and complete the table by rounding off to the number shown a b c d e Example 8. Prime Numbers A prime number has only 2 factors: the number itself and 1 So, 5 must be a prime number, because only 5 and 1 divide into 5 exactly. That s right! So, nine is not a prime number as it has more than 2 factors: 1, 3 and 9.
5 5 Write down the prime numbers, in your book Activity 2 Properties of numbers Copy and complete the following problems in your workbook 1. Additive property of = =73 c) +2784= = 0 a) = = d) = b) = = 657 e)9451+ = = 0 2. Add and subtract the same number =315 c =4 554 a = d = b = e = Multiplicative property of 1 72x1= =72 c.370x =370 a.456x1= d =1 b = e. 636=1
6 6 4. Multiply and divide by the same number 72 9x9=72 c. 10x10=76 a x25= d.130x 12=130 b.25x10 =25 e.84 12x =84 5. Inverse operations 24+40=64 therefore 64-40=24 7x8=56 therefore 56 8=7 a = so = e.30x3= so 90 3= b = so = f.240 6= so 40x6= c = so = g.9x1 000= so = d = so 1 200=3 300= h = so 40x30= Activity 3 Flow charts Remember: Brackets mean Do that part first. 1. Copy and complete the tables. a. Number X5 +2 b. Number x2 c. Number (x10) 1 d. Number x3 +15 e. Number (+15)x3
7 7 2. Copy and complete each flow diagram. +13 x9 +9 x Activity 4 Problem Solving 1. Solve the following equations. a. (3x4) 3= b. 12x(2+4)= c. 25+(10x5)= d = e. (8x6) 2= f. 8-(24 4)= g. (3+5)x(9-2)= h. 6x(7-3)= i. (81 9)x4= Remember these rules we learned in Grade 5. Commutative Law When you add and multiply: you can swap numbers around and still get the same answer. Examples 3+1=1+3 and 2x4=4x2
8 8 Associative Law When you add or multiply: it does not matter how you group the numbers Examples 1+(2+3)=(1+2)+3 and 2x(3x4)=(2x3)x4 Determine whether the following are equal to each other. Fill in = if they are the same and if they are not equal. Copy and complete. Examples 3x x5=5x g. 2x(6x7) (2x6)x7 a. b h c. 2+(6x3) (2+6)x3 i. 12+(10+1) (12+10) 1 d. (15+20)+5 15+(20+5) j. 10x e. (10 5)x2 10+(5x2) k f. (6+1)x6 (6x1)+6 l. (70 10)x5 70x(10 5) 3. Write a number sentence for each word problem. Calculate the answer. a. Sizwe has 85 packets of sweets to sell. If he sells 30 packets on Monday and 43 packets on Tuesday, how many packets does he have left to sell? b. If Sizwe sells all his packets of sweets for R20 a packet, how much money did he get all together?
9 9 Unit 2 Addition and subtraction (5 digit numbers) Activity 1 Working with 5 digit numbers It is important to know place value before we + and 5 digit numbers. Ten Thousand Thousand Hundred Tens Units TTH TH H T U Write each number in expanded notation. Number Expanded Notation ` Example
10 10 2. Copy and complete the number lines. a b c Write the pairs of numbers that make up Activity 2 Mental addition and subtraction 1. Copy and complete the table 2. Number Add 10 Add 100 Add Add a b c d e Copy and complete the table. Number Subtract 10 Subtract 100 Subtract a b c d e Subtract
11 11 3 a. Write the numbers from smallest to biggest b. Write the numbers from largest to smallest Supermarkets buy boxes of jelly beans in large bottles. Each small coloured block represents 1 bottle. 1 bottle holds jelly beans. Calculate (work out) how many jelly beans there would be in each box. a b c Activity 3 Rounding off to the nearest If the thousands digit is or 4, round off the number to the lower 10 Examples: If the thousands digit is or 9, round off the number to the higher
12 12 Examples: Complete the table Number to nearest 100 to nearest to nearest a b c d e Activity 4 Addition of 5 digit numbers Different methods can be used to add: Method 1: =? = = = = = Method 2: Round off and calculate
13 13 a b c d e f Number Example: Round off to nearest and add = Calculate actual answer using the method you prefer Word problems: a. A car salesman has sold 2 cars today. If the first car costs R and the second car costs R65 235, how much money has he made today? b. How much money is raised if Tom Newby makes R on Great Race Day and R on Entrepreneurs Day? c. If Mrs. Smith works over time, she earns R3 550 more than her usual salary of R How much did Mrs. Smith earn between New Year s Day and 31 March?
14 14 Activity 5 Subtraction of 5 digit numbers There are different methods that one can use to subtract: Method 1: =? becomes = Method 2: Round off and subtract. Number Round off to nearest and subtract Actual answer using the method you prefer Example = a b c d e f
15 R Word problems a. The price of the car has been reduced by R What is the price of the car now? b. A concert is attended by people. If people arrived by car, how many people used another form of transport? c. Shane won R in the Lotto. After spending R44 587, how much did he have left? 15 Activity 6 Addition and subtraction of 5 digit numbers 1. Copy and complete the table. Add Minus Add Minus a b c d e Rapid recall ?= ?= ?= ?= ?= ?= ?= ?= ?= See how ?= ?= ?= quickly you ?= ?= ?= can do ?= ?= ?= these!
16 16 3. Word Problems a people visited Freedom Park this year. That is more than last year. How many people visited Freedom Park last year? b. Three important soccer matches were played at our stadium. The first was attended by spectators, the second by spectators and the third was attended by spectators. How many people attended the matches altogether? c. Adding to a certain number gives you What is the number? Activity 7 Using inverse operations to check answers Remember, you can use subtraction to check your addition calculations and you can use addition to check your subtraction. Example: Check: Calculate, then check your answer by using the inverse operation. a b c d e f g h i j k l Word problems. a. The sum of 4 numbers is If three of the numbers are 3 192, and 4 008, what is the fourth number? b. The sum of four numbers is What is the fourth number if three of them are 1 560,4 255 and 6 500?
17 17 c. If I halve a number, I get What is the number? d. If I double a number, I get What number did I double? e. If I add to a secret number, I get What is the secret number? f. If I subtract from a number, I get What number did I start with? Activity 8 Assessment of Whole Numbers 1. Use the numbers in the shapes to write 5 numbers. Each number should have 6 digits. Your number should be between and smaller than You may use each digit only once Arrange your numbers from smallest to largest. 3. Write the even numbers in green. What makes these numbers even? 4. Write the odd numbers in blue. Why are these numbers odd? 5. Write these numbers in words: a b c d Copy and complete the table. a b c Round off to nearest 5 Round off to nearest 10 Round off to nearest 100 Round off to nearest 1 000
18 18 7. Copy and complete the table. Equation a. X b. (+7) x2 22 c. X7 1 d. (+5) x10 8. Say whether the following are = or. a ?10+12 b. (10 2)x5?10 (2x5) c. 15x1?15 1 d. 3+(3x4)?(3+3)x4 e. (6+4)+5?6+(5+4) f. 8x(3x9)?(8x3)x9 9. Add and subtract. Calculation a b Round off to nearest Add. Work out actual answer. 10. Calculate and check your answer by subtracting. a b Check your work carefully!
19 19 Mental Maths. Sheet 1. Monday Tuesday Wednesday Thursday Friday Round off to = Replace * with the nearest > or < = = * = * = * = * = * = * Write the number * * Round off to * the nearest * Place value Write the next numbers ; 135; Round off to the nearest 980; 960; ; 48; 60 Write smallest Round off to the ; 16; 21 number using nearest ; 1 025; ; 6; 0; 8; 3; ; 565; 595 3; 0; 9; 6; 4; ; 6 000; ; 7; 2; 8; 1; ; 96; 84 3; 1; 6; 4; 0; ; 400; 425 7; 3; 9; 1; 4; ; 750; 875 5; 0; 6; 1; 7; ; 899; 799 2; 5; 3; 8; 4;
1. Copy and complete each number pattern. a b c. 51 kg 51,2kg 51,8kg d
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