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Multiplication byMultiplication by
multiples of 10 and 100multiples of 10 and 100
Objective to multiply numbersObjective to multiply numbers
when 0’s are involvedwhen 0’s are involved
StarterStarter
 What is the rule for multiplying aWhat is the rule for multiplying a
whole number by 10?whole number by 10?
 Write down the number and add aWrite down the number and add a
zerozero
 What is the rule for multiplying aWhat is the rule for multiplying a
whole number by 100?whole number by 100?
 Write down the number and add twoWrite down the number and add two
zeroszeros
Calculate the following:Calculate the following:
 47 X 1047 X 10
 23 X 10023 X 100
 16 X 10016 X 100
 52 X 1052 X 10
 84 X 1084 X 10
 79 X 10079 X 100
 31 X 10031 X 100
 95 X 100095 X 1000
 58 X 10,00058 X 10,000
 470470
 2,3002,300
 1,6001,600
 520520
 840840
 7,9007,900
 3,1003,100
 95,00095,000
 580,000580,000
Main ActivityMain Activity
 Calculate 30 X 40Calculate 30 X 40
 Multiply 3 X 4Multiply 3 X 4
 1212
 How many zeros in the question?How many zeros in the question?
 TwoTwo
 30 X 40 = 120030 X 40 = 1200
 OR 3 X 4 = 12 30 X 4 = 120OR 3 X 4 = 12 30 X 4 = 120
so 30 X 40 =1200so 30 X 40 =1200
Another exampleAnother example
 Calculate 40 X 500Calculate 40 X 500
 Multiply 4 by 5Multiply 4 by 5
 2020
 How many zeros in the question?How many zeros in the question?
 ThreeThree
 40 X 500 = 20,00040 X 500 = 20,000
Yet another exampleYet another example
 Calculate 700 X 300Calculate 700 X 300
 Multiply 7 by 3Multiply 7 by 3
 2121
 How many zeros in the question?How many zeros in the question?
 FourFour
 700 X 300 = 210,000700 X 300 = 210,000
Lets check that we understandLets check that we understand
 200 X 70200 X 70
 60 X 3060 X 30
 800 X 400800 X 400
 2,000 X 302,000 X 30
 14,00014,000
 1,8001,800
 320,000320,000
 60,00060,000
The rule-plenaryThe rule-plenary
 We are to multiply two numbers thatWe are to multiply two numbers that
are multiples of powers of tenare multiples of powers of ten
 Firstly we multiply the two digitsFirstly we multiply the two digits
together ignoring the zerostogether ignoring the zeros
 We work out how many zeros in theWe work out how many zeros in the
questionquestion
 We add the number of zeros to ourWe add the number of zeros to our
initial answerinitial answer

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Multiplying 10,100 &1000

  • 1. Multiplication byMultiplication by multiples of 10 and 100multiples of 10 and 100 Objective to multiply numbersObjective to multiply numbers when 0’s are involvedwhen 0’s are involved
  • 2. StarterStarter  What is the rule for multiplying aWhat is the rule for multiplying a whole number by 10?whole number by 10?  Write down the number and add aWrite down the number and add a zerozero  What is the rule for multiplying aWhat is the rule for multiplying a whole number by 100?whole number by 100?  Write down the number and add twoWrite down the number and add two zeroszeros
  • 3. Calculate the following:Calculate the following:  47 X 1047 X 10  23 X 10023 X 100  16 X 10016 X 100  52 X 1052 X 10  84 X 1084 X 10  79 X 10079 X 100  31 X 10031 X 100  95 X 100095 X 1000  58 X 10,00058 X 10,000  470470  2,3002,300  1,6001,600  520520  840840  7,9007,900  3,1003,100  95,00095,000  580,000580,000
  • 4. Main ActivityMain Activity  Calculate 30 X 40Calculate 30 X 40  Multiply 3 X 4Multiply 3 X 4  1212  How many zeros in the question?How many zeros in the question?  TwoTwo  30 X 40 = 120030 X 40 = 1200  OR 3 X 4 = 12 30 X 4 = 120OR 3 X 4 = 12 30 X 4 = 120 so 30 X 40 =1200so 30 X 40 =1200
  • 5. Another exampleAnother example  Calculate 40 X 500Calculate 40 X 500  Multiply 4 by 5Multiply 4 by 5  2020  How many zeros in the question?How many zeros in the question?  ThreeThree  40 X 500 = 20,00040 X 500 = 20,000
  • 6. Yet another exampleYet another example  Calculate 700 X 300Calculate 700 X 300  Multiply 7 by 3Multiply 7 by 3  2121  How many zeros in the question?How many zeros in the question?  FourFour  700 X 300 = 210,000700 X 300 = 210,000
  • 7. Lets check that we understandLets check that we understand  200 X 70200 X 70  60 X 3060 X 30  800 X 400800 X 400  2,000 X 302,000 X 30  14,00014,000  1,8001,800  320,000320,000  60,00060,000
  • 8. The rule-plenaryThe rule-plenary  We are to multiply two numbers thatWe are to multiply two numbers that are multiples of powers of tenare multiples of powers of ten  Firstly we multiply the two digitsFirstly we multiply the two digits together ignoring the zerostogether ignoring the zeros  We work out how many zeros in theWe work out how many zeros in the questionquestion  We add the number of zeros to ourWe add the number of zeros to our initial answerinitial answer