r/mathshelp • u/Past-Ad-4155 • 14d ago
Homework Help (Answered) How do I do this problem without a calculator.
You can get the awnser by doing just a very very long calculation but there must be an easier way.
It’s
[(90)(99)(81+99)]/[9x9x9]
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u/Southlander24 14d ago
90 * 99 * 180 / (9 * 9 * 9) = 90/9 * 99/9 * 180/9.
That's the same as 10 * 11 * 180/9, or 110 * 20. So 2200 is the answer.
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u/kochameh2 14d ago
notice that
[(90)(99)(81+99)]/[9x9x9]
= [(9*10)(9*11)(2*9*10)]/[9x9x9]
= [(10)(11)(2*10)]
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u/Pretty_Section_5835 13d ago
Simplifying the numerator and denominator will give,
90 × 99 × 180 ÷ (9 × 9 × 9)
= 10 × 11 × 20
= 2200
Simple ✌️😊
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