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5 math solutions to get 99 without using 9,+,-

math word problem getting 99 without using the 9 key + - keys on a calculator 5 soultions??

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2 Answers

We only have multiplication and division to work with. So the way to approach this problem is to find all factors of 99 and a few multiples of it as well. 

Factors: 1, 3, 9, 11, 33, 99. The only ones we can use are 3, 33 because we can't use the 9 key.

Multiples of 99: 99, 198, 297, 396, 495, 594, 693, 792, 891, 990, 1089, 1188, 1287, 1386, 1485, 1584... We can't use any multiple with 9 in it but the rest seem good. 

So we can already construct all of the solutions starting with the factors 3, 33:

1. 3 × 33 = 99 

Now we use division and the multiples:

2. 1188 ÷ 12 = 99

3. 1287 ÷ 13 = 99

4. 1386 ÷ 14 = 99

5. 1485 ÷ 15 = 99

Of course there are more solutions because we can keep going up in multiples without using 9's. Hope this helped! 

Mykola provided the factors of 99, and you could also get 99 the following way:

3 x 3 x 11 = 99