GOOD MORNING BOYS! Let us revise some properties of whole numbers. These properties help us to understand numbers better and make calculations under certain operations very simple! CLOSURE PROPERTY UNDER ADDITION AND MULTIPLICATION ADDITION AND MULTIPLICATION IS COMMUTATIVE FOR WHOLE NUMBERS- This means you can add numbers in any order, the sum (answer) will be thhe same. eg. 7+3 =10 4+3+5 =12 3+7=10 You can multiply numbers in any order, the product (answer) will be the same. eg. 4 x 5=20 5 x 4 =20 ASSOCIATIVE PROPERTY OF ADDITION AND MULTIPLICATION ID ENTITY PROPERTY IDENTITY PROPERTY OF ADDITION AND MULTIPLICATION- ADDITION USING SUITABLE GROUPING OF NUMBERS When we have to add three numbers, first add those two numbers which will give you a sum that is a multiple of 10. Then add the third number to the sum. For eg. 7+4+3 (7+3)+
LOWEST COMMON MULTIPLE REMEMBER In order to solve these sums it is important that you know your short division. Practise it so that you can find out the LCM faster. Be careful while multiplying the numbers. Do not miss out on any digits. Double check your multiplication Write down the LCM of the two sums that have been solved for you. LCM OF 48,72 AND 108 =_________ LCM OF 24,40 AND 60=________ SOLVE THE ABOVE WORKSHEET IN YOUR NOTEBOOK.
GOOD MORNING BOYS ! You have learnt about commutativity of addition and multiplication. SUBTRACTION AND DIVISION ARE NOT COMMUTATIVE - because if you change the order of numbers in subtraction and division ,you get a different answer. - Division of a whole number by 0 is not defined. FINDING THE PRODUCT SUITABLE GROUPING Like we did in addition , we will first multiply two numbers whose product should be a multiple of 10 and then multiply the third number to this. This makes calculations easy. For eg. 7 x 5 x 2 ( 5 x 2 ) x 7 10 x 7 = 70 REMEMBER THESE ... 5 x 2 = 10 25 x 4 = 100 50 x 2 = 100 125 x 8 = 1000 40 x 25 = 1000 625 x 16 = 10000 NOW SOLVE THESE SUMS IN YOUR NOTEBOOK 1. Find the product using suitable grouping a. 2 x 6 x 50 b. 4 x 12 x 125 c. 25 x 23 x 4 d. 125 x 144 x 8 e. 40 x 235 x 25 f. 16 x
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