Whole Numbers WHOLE NUMBERS.

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1 Whole Numbers WHOLE NUMBERS

3 How does it wk? Solutions Whole Numbers Page questions Place values Write down the place values f each of these numbers a 6 b 60 Place value of : 000 Place value of : Place value of : 0 Place value of : c 60 d Place value of : Place value of 7: Place value of 6: Place value of 8: Write each of these dinary numbers in: (i) wded fm (ii) partitioned fm a 60 (i) Two thousand, five hundred and sixty (ii) ( # 000) + ( # 00) + (6 # 0) b 06 (i) One million, three hundred and six thousand, two hundred and eleven (ii) ( # ) + ( # ) + (0 # 0 000) + (6 # 000) + ( # 00) + ( # 0) + ( # ) c (i) Eight hundred and ninety one thousand, and twenty six (ii) (8 # ) + (9 # 0 000) + ( # 000) + (0 # 00) + ( # 0) + (6 # ) Mathletics Passpt P Learning H SERIES TOPIC

4 How does it wk? Solutions Whole Numbers Page questions Place values d (i) Seven hundred and eight thousand, and two (ii) (7 # ) + (0 # 0 000) + (8 # 000) + (0 # 00) + (0 # 0) + ( # ) e (i) Nine million, eleven thousand, and sixty (ii) (9 # ) + (0 # ) + ( # 0 000) + ( # 000) + (0 # 00) + (6 # 0) + (0 # ) Write the dinary number f each of these: a Four hundred and thirty nine thousand, two hundred and six 9 06 b ( # ) + ( # ) + (0 # 0 000) + ( # 000) + (0 # 00) + ( # 0) + (0 # ) 0 00 c Eighty one thousand and five 8 00 d (9 # 0 000) + (8 # 000) + (9 # 00) + (9 # 0) + (8 # ) e Any number whose place values f, and are 000, and 00 Any number with the crect place values f, and such as:, 0, 6 9, 00 0 f Three million, thirty thousand and thirty H SERIES TOPIC Mathletics Passpt P Learning

5 How does it wk? Solutions Whole Numbers Page 9 questions Adding and subtracting large numbers Calculate each of these addition questions showing all wking. a b c d e f Combo Time! Page 0 questions Adding and subtracting large numbers a 6 8 b Mathletics Passpt P Learning H SERIES TOPIC

6 How does it wk? Solutions Whole Numbers Page 0 questions Adding and subtracting large numbers c d e f Page questions Long multiplication a Multiply 06 by Put a 0 in the ones column and multiply 06 by Add the columns together b Multiply 8 by 9 Put a 0 in the ones column and multiply 8 by Add the columns together H SERIES TOPIC Mathletics Passpt P Learning

7 How does it wk? Solutions Whole Numbers Page questions Long multiplication c Multiply 970 by Put a 0 in the ones column and multiply 970 by 6 Add the columns together d Multiply 876 by Put a 0 in the ones column and multiply 876 by Add the columns together e Multiply 0 by 7 Put a 0 in the ones column and multiply 0 by Add the columns together f Multiply 0 0 by Put a 0 in the ones column and multiply 0 0 by Add the columns together Page questions Long multiplication a Multiply by Put a 0 in the ones column and multiply by Put 0s in the ones and tens columns and multiply by Add the columns together Mathletics Passpt P Learning H SERIES TOPIC

8 How does it wk? Solutions Whole Numbers Page questions Long multiplication b Multiply 8 by Put a 0 in the ones column and multiply 8 by 0 Put 0s in the ones and tens columns and multiply 8 by Add the columns together c Multiply 908 by 9 Put a 0 in the ones column and multiply 908 by 0 Put 0s in the ones and tens columns and multiply 908 by Add the columns together d Multiply 86 by Put a 0 in the ones column and multiply 86 by Put 0s in the ones and tens columns and multiply 86 by Add the columns together e Multiply by 7 Put a 0 in the ones column and multiply by Put 0s in the ones and tens columns and multiply by Add the columns together f Multiply 68 by Put a 0 in the ones column and multiply 68 by Put 0s in the ones and tens columns and multiply 68 by Add the columns together 6 H SERIES TOPIC Mathletics Passpt P Learning

9 How does it wk? Solutions Whole Numbers Page 6 questions Sht division a b g g c d g 6 9 6g 0 a b r 7 7g r g c d g 7 7 r g r Mathletics Passpt P Learning H SERIES TOPIC 7

10 How does it wk? Solutions Whole Numbers Page 7 questions Long division a 7 g b 8 9 g ` 8 ' 7 ` 897 ' 89 c 6 g d 7 7 g ` 8 ' 6 ` 78 ' H SERIES TOPIC Mathletics Passpt P Learning

11 How does it wk? Solutions Whole Numbers Page 9 questions Divisibility Tests,,, 0 60,, 8 6,,, 6, ,, 9 07,, 8 6,,, ,, 6, ,,, ,,,, 6, 8, 9, None of them 87,, 6, 9, Mathletics Passpt P Learning H SERIES TOPIC 9

12 How does it wk? Solutions Whole Numbers Page questions Index notation f numbers a # b # # c # # # # d # # # 6 e 7 # 7 # 7 # 7 # 7 # 7 7 f # # # # # # # 8 a # # # # # 8 # 6 8 b # # # # # 6 00 c 6 # 6 # 6 # 6 # 7 # 7 # 7 6 # 7 96 # 8 d # # # # # # 8 8 e # 8 # 8 # # 8 # 8 # 8 # 8 # f # # # # # # # # # 8 # 7 # 6 6 a # # b 8 8 # 8 # 8 # c 6 # # # # 7 d # # # # # # e # 7 # # # 7 # 7 f # # # # # # g 7 # 7 # 7 # 7 # 7 # 7 # # # # h # # # # # # # # # 0 H SERIES TOPIC Mathletics Passpt P Learning

13 How does it wk? Solutions Whole Numbers Page questions Puzzle Time 6 6 Area expression Area expression Area # + + # + # + # 6 Area ( + 6) # ( + + 6) If you went further and calculated the area, you would get: units # units 6 units 6 units Page questions Square roots and cube roots a means 'because' a a # # b 6 a # 6 6 # c a # # d 9 a 7 # # Mathletics Passpt P Learning H SERIES TOPIC

14 How does it wk? Solutions Whole Numbers Page questions Square roots and cube roots a means 'because' e 8 9 a 9 # # f a # # a 7 a # # 7 7 # # b 6 a # # 6 6 # # c 6 6 a 6 # 6 # # 6 # d 8 a 8 # 8 # 8 8 # 8 # a 9 a # 9 # 9 ` 9 b 8 6 a 8 # # 8 6 ` 8 6 c 6 6 a 6 # # 6 6 ` 6 6 d a # ` # a a # # # # ` b 8 a # # 8 ` # # 8 8 c a # # # # ` d 7 a 7 # 7 # # 7 # 7 ` 7 H SERIES TOPIC Mathletics Passpt P Learning

15 Where does it wk? Solutions Whole Numbers Page 7 questions Fact Trees 8 9 ` # 8 ` # ` 6 # 7 ` ` 8 # # 7 ` 8 7 Mathletics Passpt P Learning H SERIES TOPIC

16 Where does it wk? Solutions Whole Numbers Page 8 questions Fact Trees 8 a b 0 ` 8 ` 0 # c d ` # ` 60 # # e 96 f 8 ` # ` 96 # H SERIES TOPIC Mathletics Passpt P Learning

17 Where does it wk? Solutions Whole Numbers Page 0 questions Highest common fact (HCF) Find the highest common fact f these pairs of numbers. a 8 and Facts of 8:,,, 8 Facts of :,,,, 6, ` The HCF f 8 and is: b 6 and Facts of 6:,,, 6 Facts of :,,, ` The HCF f 6 and is: c 0 and 8 Facts of 0:,,, 0 Facts of 8:,,, 6, 9, 8 ` The HCF f 0 and 8 is: d 8 and Facts of 8:,,, 6, 9, 8 Facts of :,,,, 6, 8,, ` The HCF f 8 and is: 6 e and 8 Facts of :,, 7, Facts of 8:,,, 7,, 8 ` The HCF f and 8 is: f 6 and 6 Facts of 6:,,, 8, 6 Facts of 6:,,,, 6, 9,, 8, 6 ` The HCF f 6 and 6 is: Mathletics Passpt P Learning H SERIES TOPIC

18 Where does it wk? Solutions Whole Numbers Page 0 questions Highest common fact (HCF) Use the prime facts to find the HCF f these larger numbers. a and 8 Prime facts of :,,,, Prime facts of 8:,,, 7 ` The HCF f and 8 is: # # b 9 and 7 Prime facts of 9:,, Prime facts of 7:,,,, ` The HCF f 9 and 7 is: # c 80 and 90 Prime facts of 80:,,,, 7 Prime facts of 90:,, 7, 7 ` The HCF f 80 and 90 is: 7 70 # # d 6 and 60 Prime facts of 6:,,,,,,, Prime facts of 60:,,,,,,, ` The HCF f 6 and 60 is: 8 # # # # # # 6 H SERIES TOPIC Mathletics Passpt P Learning

19 Where does it wk? Solutions Whole Numbers Page questions Lowest common multiple (LCM) Find the lowest common multiple f these pairs of numbers. a and 9 Multiples of :, 6, 9,,... Multiples of 9: 9, 8,... ` The LCM f and 9 is: 9 b and 0 Multiples of :, 0,,... Multiples of 0: 0, 0,... ` The LCM f and 0 is: 0 c and 6 Multiples of :, 8,, 6,... Multiples of 6: 6,, 8,... ` The LCM f and 6 is: d and 6 Multiples of :, 0,, 0,, 0,... Multiples of 6: 6,, 8,, 0,... ` The LCM f and 6 is: 0 e 6 and 7 Multiples of 6: 6,, 8,, 0, 6,, 8,... Multiples of 7: 7,,, 8,,,... ` The LCM f 6 and 7 is: f and 6 Multiples of :,, 6, 8, 60, 7,... Multiples of 6: 6,, 8, 6,... ` The LCM f and 6 is: 8 Mathletics Passpt P Learning H SERIES TOPIC 7

20 Where does it wk? Solutions Whole Numbers Page questions Lowest common multiple (LCM) Use the prime facts to find the LCM f these larger numbers. Steps taken l List all the prime facts f both numbers l Circle all the different facts in the smaller number l Multiply the larger number by the different fact a 60 and 08 Prime facts of 60:,,, Prime facts of 08:,,,, ` The LCM f 60 and 08 is: 08 0 # b and 0 Prime facts of :,, 7 Prime facts of 0:,,, ` The LCM f and 0 is: # c 68 and 80 Prime facts of 68:,,,, 7 Prime facts of 80:,,,, ` The LCM f 68 and 80 is: # # d 0 and 8 Prime facts of 0:,,, 7 Prime facts of 8:, 7, ` The LCM f 0 and 8 is: 8 0 # # 8 H SERIES TOPIC Mathletics Passpt P Learning

21 What else can you do? Solutions Whole Numbers Page questions Pascal's Triangle Page 7 questions Applications of Pascal's Triangle A B C D 0 E 8 F 6 A B C D E F Mathletics Passpt P Learning H SERIES TOPIC 9

22 What else can you do? Solutions Whole Numbers Page 7 questions Applications of Pascal's Triangle Start Start Start Path Path Path Start Start Start Path Path Path 6 Page 8 questions Applications of Pascal's Triangle Main Chamber The total number of different pathways the ant can travel downwards to the main chamber H SERIES TOPIC Mathletics Passpt P Learning

WHOLE NUMBERS * WHOLE NUMBERS * WHOLE NUMBERS *

roots and Cube roots Sht and Long Division.../.

24 WHOLE NUMBERS * WHOLE NUMBERS * WHOLE NUMBERS * WHOLE NUMBERS * INDEX NOTATION * INDEX NOTATION * WHOLE NUMBERS * WHOLE NUMBERS *.../.../0... * DIVISIBILITY TESTS FOR NUMBERS Square roots and Cube roots Sht and Long Division.../.../ /.../ /.../0... Place Value.../.../0...

Whole Numbers. Whole Numbers. Solutions. Curriculum Ready.

Whole Numbers. Whole Numbers. Solutions. Curriculum Ready. Whole Numbers Whole Numbers Solutions Curriulum Ready www.mathletis.om Page questions Plae values Write down the plae values for eah of these numbers a 6 b 60 Plae value of : 000 Plae value of : Plae