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Number Theory Level 1

Which of these is smallest?

( 1 + 2 2 − 3 ) ∗ 4 (1+2^2-3)*4 1 + 2 2 − 3 ∗ 4 1+2^2-3*4 1 + ( 2 ( 2 − 3 ) ) ∗ 4 1+(2^{(2-3)})*4 ( 1 + 2 ) 2 − 3 ∗ 4 (1+2)^2-3*4

Math Man by math man , 20, Indonesia

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7 solutions

Nimai Charan Sau
Nov 23, 2014

1+4-12=5-12=-7

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You evaluate each expression and compare the results.

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Durga Mahesh
Nov 19, 2014

1+4-12=5-12=-7 which is the smallest

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Varun Parkash
Nov 24, 2014

An easy way is to first eliminate the first and last because they have 4 multiplied to them. Secondly, the second and third have the term that is a product, with a minus sign to it. This means that either have to be the smallest. Now just see which one is the smallest from the first half of the options

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Ghulam Ayzed Khan
Nov 23, 2014

following DMAS rule 1+2^2-3 4=1+4-3 4=1+4-12=5-12=-7

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Abdullah Hussain
Nov 23, 2014

(1+4)-(12)=5-12=-7

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Howard Griffin
Nov 23, 2014

1+2^2- 3X4 = 1+4 - 12 = -7

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No Brother... You say Rest of 3 are positive which is not true because First = 3 Second=8 Third= -7 Fourth= -3

Muhammad Shahzad - 6 years, 6 months ago

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Yes you are correct! I noticed that after I made my submission. I have now edited my statement! Thanks for bringing that to my attention!!!!!

Howard Griffin - 6 years, 6 months ago

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