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Published byCecil Harrison Modified over 4 years ago

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Using these laws with algebra

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Turn arounds The "Commutative Law" says that you can swap numbers around and still get the same answer when you add or when you multiply 3 + 6 = 6 + 3 5 x 4 = 4 x 5 and =

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The "Associative Law" says that it doesn't matter how you group the numbers when you add or when you multiply. (In other words it doesn't matter which you calculate first.) (2 + 4) + 5 = 2 + (4 + 5) 5 x (6 x 2) = (5 x 6) x 2

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The "Distributive Law" says you get the same answer when you: * multiply a number by a group of numbers added together * as when you do each multiply separately then add them. 3 x (2 + 4) = (3 x 2) + (3 x 4) In this example the 3 is distributed across the addition of 2 and 4

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Prove that the commutative law does not apply to subtraction

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Prove that the associative law will not work with division

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Complete these distributive examples – 5 x ( 4 + 7) = (__ x 4) + ( __ x 7) = ___ 3 x ( 1 + 6) = ( __ x __) + ( __ x __ ) = ___ (9 x 3 ) + (9 x 2) = __ x ( __ + __ ) = ___

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Jeremy is organising a party. He has invited 9 guests. Each guest will be provided a party hat costing $1.50 per hat, and a party bag @ $2 each. Work out Jeremy’s party costs Include the distributive law in your workings Create an algebraic formula that will assist you to work out the party costs for 20 guests

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If s=4 and t=5, these statements are true: 3(s+t)=272s+3t=232t-2s=2 Choose values for p and q. Write three true statements using those variables. See if a partner can figure out what your values are.

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