6*147 = 6*(150 - 3) = 6*150 - 6*3 = 900 - 18 = 882.
That uses the distributive property of multiplication over subtraction.
The above is far simpler than using the distributive property of multiplication over addition
6*147 = 6*(140 + 7) but then do you know your 14 times table? I did learn it at school but if you did not,
= 6*(100 + 40 + 7) = 600 + 240 + 42 = 882
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40 x 27 does not exhibit the distributive property.
2(x - 3) = 2x - 6.
6 x 53 = 6(50 + 3) = (6 x 50) + (6 x 3) = 300 + 18 = 318
12*56 Use the distributive property on 12: (10+2)*56 = 10*56 + 2*56 Use the distributive property on 56 twice: 10*(50+6) + 2*(50+6) = 10*50 + 10*6 + 2*50 + 2*6 = 500 + 60 + 100 + 12 = 672
The distributive property is where you will "distribute" a term outside of a set of grouping symbols into all the terms within the set of grouping symbols. For example, to distribute 6(x+3), you would multiply 6 by x and by 3, to get 6x + 18. The distributive property is usually the property used most often to solve for variables in linear equations. For example, in the linear equation, 3(x+2)=4+x, you would have to distribute the 3, since x and 2 are not like terms.