Basic Mathematics

Basic Mathematics Warmups

Mental Shortcuts - Intermediate Warmup

         

Using the properties of decimals and the distributive rule, can you quickly find 15% 15\% of 64?

Hint: 15%=10%+5% 15 \% = 10\% + 5\% .

Using the distributive rule, which of these are equivalent to 7×64+7×6? 7 \times 64 + 7 \times 6?

Using the perfect square identity, which of these is equivalent to 812? 81^2 ?

Hint: (a+b)2=(a+b)×(a+b) (a+b)^2 = (a+b) \times ( a +b) .

Using the difference of two squares identity, which of these is equivalent to 5.7×6.3? 5.7 \times 6.3 ?

Hint: a2b2=(a+b)(ab) a^2 - b^2 = (a+b)(a-b) .

35×28=?35 \times 28 = \, ?

(No calculators! Use your head and the hint above.)

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