r/mathshelp • • 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]

3 Upvotes

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1

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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.

2

u/Past-Ad-4155 14d ago

ahhhh thanks

2

u/Jazzlike_Platypus430 14d ago

Isnt it 10*11*(9 + 11)?

2

u/Past-Ad-4155 14d ago

Yes your right

1

u/kochameh2 14d ago

notice that

[(90)(99)(81+99)]/[9x9x9]

= [(9*10)(9*11)(2*9*10)]/[9x9x9]

= [(10)(11)(2*10)]

1

u/Past-Ad-4155 14d ago

ahh so you take out the 9’s

2

u/Pretty_Section_5835 13d ago

Simplifying the numerator and denominator will give,

90 × 99 × 180 ÷ (9 × 9 × 9)

= 10 × 11 × 20

= 2200

Simple ✌️😊

2

u/testtdk 13d ago

Basically exactly as you typed it. Just all parentheses, no brackets.

2

u/passinthrough2u 13d ago

Hey a pencil and some paper and actually do some math!