Whole Numbers. Whole Numbers. Solutions. Curriculum Ready.

Size: px

Start display at page:

Download "Whole Numbers. Whole Numbers. Solutions. Curriculum Ready."

Lorin Johnson
5 years ago
Views:

1 Whole Numbers Whole Numbers Solutions Curriulum Ready

3 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 value of : 0 Plae value of : d Plae value of : Plae value of 7: Plae value of 6: Plae value of 8: Write eah of these ordinary numbers in: (i) worded form (ii) expanded form 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) + ( # ) (i) Eight hundred and ninety one thousand, and twenty six (ii) (8 # ) + (9 # 0 000) + ( # 000) + (0 # 00) + ( # 0) + (6 # ) Mathletis Passport P Learning H SERIES TOPIC

4 Page questions Plae 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 ordinary number for eah 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 Eighty one thousand and five 8 00 d (9 # 0 000) + (8 # 000) + (9 # 00) + (9 # 0) + (8 # ) e Any number whose plae values for, and are 000, and 00 Any number with the orret plae values for, and suh as:, 0, 6 9, 00 0 f Three million, thirty thousand and thirty H SERIES TOPIC Mathletis Passport P Learning

5 Page 9 questions Adding and subtrating large numbers Calulate eah of these addition questions showing all working. a b d e f Combo Time! Page 0 questions Adding and subtrating large numbers a 6 8 b Mathletis Passport P Learning H SERIES TOPIC

6 Page 0 questions Adding and subtrating large numbers d e f Page questions Long multipliation a Multiply 06 by Put a 0 in the ones olumn and multiply 06 by Add the olumns together b Multiply 8 by 9 Put a 0 in the ones olumn and multiply 8 by Add the olumns together H SERIES TOPIC Mathletis Passport P Learning

7 Page questions Long multipliation Multiply 970 by Put a 0 in the ones olumn and multiply 970 by 6 Add the olumns together d Multiply 876 by Put a 0 in the ones olumn and multiply 876 by Add the olumns together e Multiply 0 by 7 Put a 0 in the ones olumn and multiply 0 by Add the olumns together f Multiply 0 0 by Put a 0 in the ones olumn and multiply 0 0 by Add the olumns together Page questions Long multipliation a Multiply by Put a 0 in the ones olumn and multiply by Put 0s in the ones and tens olumns and multiply by Add the olumns together Mathletis Passport P Learning H SERIES TOPIC

8 Page questions Long multipliation b Multiply 8 by Put a 0 in the ones olumn and multiply 8 by 0 Put 0s in the ones and tens olumns and multiply 8 by Add the olumns together Multiply 908 by 9 Put a 0 in the ones olumn and multiply 908 by 0 Put 0s in the ones and tens olumns and multiply 908 by Add the olumns together d Multiply 86 by Put a 0 in the ones olumn and multiply 86 by Put 0s in the ones and tens olumns and multiply 86 by Add the olumns together e Multiply by 7 Put a 0 in the ones olumn and multiply by Put 0s in the ones and tens olumns and multiply by Add the olumns together f Multiply 68 by Put a 0 in the ones olumn and multiply 68 by Put 0s in the ones and tens olumns and multiply 68 by Add the olumns together 6 H SERIES TOPIC Mathletis Passport P Learning

9 Page 6 questions Short division a b g g d g 6 9 6g 0 a b r 7 7g r g d g 7 7 r g r Mathletis Passport P Learning H SERIES TOPIC 7

10 Page 7 questions Long division a 7 g b 8 9 g ` 8 ' 7 ` 897 ' 89 6 g d 7 7 g ` 8 ' 6 ` 78 ' H SERIES TOPIC Mathletis Passport P Learning

11 Page 9 questions Commutative laws a Two rows of four b Four olumns of two Four rows of two d Two olumns of four # # # # e Four olumns of one f Three rows of six g Two rows of seven h Four rows of one # # 6 # 7 # a b # # 6 # # d # # 6 # # 6 8 Mathletis Passport P Learning H SERIES TOPIC 9

12 Page 0 questions Commutative laws Here are two of the many possibilities # 6 6 # # 6 6 # To obtain an answer of, these whole number multipliations are possible: # 6 # 8 # # 6 # 8 # # # # 6 6 # 8 # # 8 # # # # 0 H SERIES TOPIC Mathletis Passport P Learning

13 Page questions Assoiative laws a b d Mathletis Passport P Learning H SERIES TOPIC

14 Page questions Assoiative laws a b d e f H SERIES TOPIC Mathletis Passport P Learning

15 Page questions Assoiative laws a # # 6 # # # # # 6 # 6 b # # 0 # # # # 8 # # 0 0 # # 68 8 # # 7 8 # # 7 # 7 8 # 68 d # # 6 # # 0 6 # # 0 6 # 0 8 # 0 80 Mathletis Passport P Learning H SERIES TOPIC

16 Page questions Assoiative laws a # # # ( # ) ( # ) # b # # # ( # 6) ( # ) # 6 # # # ( # ) ( # ) # d # # # ( # ) ( # ) # 0 a # 8 # 0 # 0 # 8 b # 0 # 7 # 0 # 7 00 # # # 9 # 7 # 7 # 9 d # # # # 00 # 9 80 # H SERIES TOPIC Mathletis Passport P Learning

17 Page 6 questions Assoiative laws 6 a ( ' ) ' ' ( ' ) True False b ( ' 0) ' ' (0 ' ) True False (0 - ) ( - ) True False d (0 ' 6) ' 0 ' (6 ' ) True False e (0 - ) ( - 0) True False f ( ' ) ' ' ( ' ) True False g (0 ' ) ' 0 ' ( ' ) True False h (8-0) (0 - ) True False i ( - ) - - ( - ) True False j (0 - ) ( - 0) True False 7 a ( + 8) + ( + + ) ( + 8) + ( + + ) Numbers were grouped that added to a multiple of 0 to make it easier to add together. b # # # ( # ) # ( # ) 6 # 0 60 ( # ) # ( # ) 60 # ( + 7) + ( + 6) + ( + 9) a # b # # # # # # # # # # 7 # # # 7 0 # 0 0 # 00 0 Mathletis Passport P Learning H SERIES TOPIC

18 Page 8 questions Distributive law a # + 6 # + # 6 b 7 # 8-7 # 8-7 # 6 # + 6 # 9 6 # + 9 d # 7 - # 0 # 7-0 e # # f # a a) # 8 + # 8 + # b) # + 6 # + # b The sum of the terms inside both brakets are equal. So is multiplied by the same value in both expressions. # # + 9 # + 7 # + The sum of the terms inside the brakets must equal 0. a 6 # 6 # 0 + b 8 # 98 8 # 00-6 # # 8 # 00-8 # # # 0 + d # 9 # 0 - # 0 + # # 0 - # H SERIES TOPIC Mathletis Passport P Learning

19 Page 9 questions Distributive law a # 7 b # 8 # 7 # (0 - ) # 0 - # # 0 - # 8 # (80 + ) # 80 + # # (0 + ) # 0-0 # 0 + # (0 + ) # # 80 + # # 7 d # # 7 7 # (0 + ) 7 # # 7 # # # (00 + ) # 00 + # 00 + # (70 + ) # # 0 + # (0 + ) # # + # e 8 # f 0 # 08 # 8 # (80 + ) # 80 + # # # 08 0 # (0 - ) 0 # 0-0 # 0 # 0-0 (0 + ) # # 80 + # (00 + 0) # # # Mathletis Passport P Learning H SERIES TOPIC 7

20 Page questions Divisibility Tests,,, 0 60,, 8 6,,, 6, ,, 9 07,, 8 6,,, ,, 6, ,,, ,,,, 6, 8, 9, None of them 87,, 6, 9, H SERIES TOPIC Mathletis Passport P Learning

21 Page questions Exponent notation for numbers a # b # # # # # # d # # # 6 e 7 # 7 # 7 # 7 # 7 # 7 7 f # # # # # # # 8 a # # # # # 8 # 6 8 b # # # # # # 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 # # # # # 7 d # # # # # # e # 7 # # # 7 # 7 f # # # # # # g 7 # 7 # 7 # 7 # 7 # 7 # # # # h # # # # # # # # # Mathletis Passport P Learning H SERIES TOPIC 9

22 Page questions Puzzle Time 6 6 Area expression Area expression Area # + + # + # + # 6 Area ( + 6) # ( + + 6) If you went further and alulated the area, you would get: units # units 6 units 6 units Page questions Square roots and ube roots a means 'beause' a or a # # b 6 a # 6 or 6 # a # or # d 9 a 7 # 7 9 or 9 7 # H SERIES TOPIC Mathletis Passport P Learning

23 Page 6 questions Square roots and ube roots a means 'beause' e 8 9 a 9 # 9 8 or 8 9 # f a # or # a 7 a # # 7 or 7 # # b 6 or 6 # # a # # a 6 # 6 # 6 6 or 6 6 # 6 # d 8 or a 8 # 8 # 8 8 # 8 # a 9 a # 9 or # 9 ` 9 b 8 6 or 8 8 # 8 a 8 # ` a 6 # 6 6 or 6 6 # 6 6 ` 6 6 d or a # ` # a a # # or # # ` b 8 or # # a # # 8 8 ` 8 a # # or # # ` d 7 or a 7 # 7 # # 7 # 7 ` 7 Mathletis Passport P Learning H SERIES TOPIC

24 Where does it work? Solutions Whole Numbers Page 9 questions Fator Trees 8 9 ` # 8 ` # ` 6 # 7 ` ` 8 # # 7 ` 8 7 H SERIES TOPIC Mathletis Passport P Learning

25 Where does it work? Solutions Whole Numbers Page 0 questions Fator Trees 8 a b 0 ` 8 ` 0 # d ` # ` 60 # # e 96 f 8 ` # ` 96 # Mathletis Passport P Learning H SERIES TOPIC

26 Where does it work? Solutions Whole Numbers Page questions Greatest ommon fator (GCF) Find the greatest ommon fator for these pairs of numbers. a 8 and Fators of 8:,,, 8 Fators of :,,,, 6, ` The GCF for 8 and is: b 6 and Fators of 6:,,, 6 Fators of :,,, ` The GCF for 6 and is: 0 and 8 Fators of 0:,,, 0 Fators of 8:,,, 6, 9, 8 ` The GCF for 0 and 8 is: d 8 and Fators of 8:,,, 6, 9, 8 Fators of :,,,, 6, 8,, ` The GCF for 8 and is: 6 e and 8 Fators of :,, 7, Fators of 8:,,, 7,, 8 ` The GCF for and 8 is: f 6 and 6 Fators of 6:,,, 8, 6 Fators of 6:,,,, 6, 9,, 8, 6 ` The GCF for 6 and 6 is: H SERIES TOPIC Mathletis Passport P Learning

27 Where does it work? Solutions Whole Numbers Page questions Greatest ommon fator (GCF) Use the prime fators to find the GCF for these larger numbers. a and 8 Prime fators of :,,,, Prime fators of 8:,,, 7 ` The GCF for and 8 is: # # b 9 and 7 Prime fators of 9:,, Prime fators of 7:,,,, ` The GCF for 9 and 7 is: # 80 and 90 Prime fators of 80:,,,, 7 Prime fators of 90:,, 7, 7 ` The GCF for 80 and 90 is: 7 70 # # d 6 and 60 Prime fators of 6:,,,,,,, Prime fators of 60:,,,,,,, ` The GCF for 6 and 60 is: 8 # # # # # # Mathletis Passport P Learning H SERIES TOPIC

28 Where does it work? Solutions Whole Numbers Page questions Lowest ommon multiple (LCM) Find the lowest ommon multiple for these pairs of numbers. a and 9 Multiples of :, 6, 9,,... Multiples of 9: 9, 8,... ` The LCM for and 9 is: 9 b and 0 Multiples of :, 0,,... Multiples of 0: 0, 0,... ` The LCM for and 0 is: 0 and 6 Multiples of :, 8,, 6,... Multiples of 6: 6,, 8,... ` The LCM for and 6 is: d and 6 Multiples of :, 0,, 0,, 0,... Multiples of 6: 6,, 8,, 0,... ` The LCM for and 6 is: 0 e 6 and 7 Multiples of 6: 6,, 8,, 0, 6,, 8,... Multiples of 7: 7,,, 8,,,... ` The LCM for 6 and 7 is: f and 6 Multiples of :,, 6, 8, 60, 7,... Multiples of 6: 6,, 8, 6,... ` The LCM for and 6 is: 8 6 H SERIES TOPIC Mathletis Passport P Learning

29 Where does it work? Solutions Whole Numbers Page questions Lowest ommon multiple (LCM) Use the prime fators to find the LCM for these larger numbers. Steps taken l List all the prime fators for both numbers l Cirle all the different fators in the smaller number l Multiply the larger number by the different fator a 60 and 08 Prime fators of 60:,,, Prime fators of 08:,,,, ` The LCM for 60 and 08 is: 08 0 # b and 0 Prime fators of :,, 7 Prime fators of 0:,,, ` The LCM for and 0 is: # 68 and 80 Prime fators of 68:,,,, 7 Prime fators of 80:,,,, ` The LCM for 68 and 80 is: # # d 0 and 8 Prime fators of 0:,,, 7 Prime fators of 8:, 7, ` The LCM for 0 and 8 is: 8 0 # # Mathletis Passport P Learning H SERIES TOPIC 7

30 What else an you do? Solutions Whole Numbers Page 7 questions Pasal's Triangle Page 7 questions Appliations of Pasal's Triangle A B C D 0 E 8 F 6 A B C D E F 8 H SERIES TOPIC Mathletis Passport P Learning

Appliations of Pasal's Triangle Start Start

Path Path 6 Page 8 questions Appliations of

number of different pathways the ant an travel

31 What else an you do? Solutions Whole Numbers Page 9 questions Appliations of Pasal's Triangle Start Start Start Path Path Path Start Start Start Path Path Path 6 Page 8 questions Appliations of Pasal's Triangle Main Chamber The total number of different pathways the ant an travel downwards to the main hamber Mathletis Passport P Learning H SERIES TOPIC 9

32 Whole Numbers

Whole Numbers. Whole Numbers. Solutions. Curriculum Ready.

Whole Numbers. Whole Numbers. Solutions. Curriculum Ready. Whole Numbers Whole Numbers Solutions Curriulum Ready www.mathletis.om Copyright 009 P Learning. All rights reserved. First edition printed 009 in Australia. A atalogue reord for this book is available