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# GMAT Prep - Math

### Arithmetic

True or false - Addition and multiplication are commutative, but subtraction and division are not. True
True or false - Addition and multiplication are not associative, but subtraction and division are. False
(5 + 8 = 5 + 8) or (2 X 12 = 12 X 2) is an example of a _________ law. Commutative
(19+3) + 45 = 45 + (19+3) or (10 X 2) X 4 = 10 X (2X4) is an example of a _________ law. Associative
True or false = (9/[4+5]) equals to (9/4) + (9/5). False
When there's a sum or a difference in the DENOMINATOR, is it possible to make distribution? No
When there's a sum or a difference in the NUMERATOR, is it possible to make distribution? Yes
(2^2) X (2^3) = 2^5
(3^9) X (3^12) = 3^21
(4^4)/(4^2) = 4^2
(4^52)/(4^36) = 4^16
(5^2)^3 = 5^6
(12^12)^5 = 12^60
(5^7) X (2^7) = 10^7
(3^4) X (5^4) = 15^4
(8)^(2/3) = 4
(25)^(3/2) = 125
The radical means _________ square root only. Positive
True or false - The radical can be a NEGATIVE square root as well. False
6 sq rt (3) X 5 sq rt (5) = 30 sq rt (15)
10 sq rt (9) / 5 sq rt (3) = 2 sq rt (3)
24 sq rt (108)/ 12 sq rt (12) 2 sq rt (9) => 6
True or false - You CANNOT split addition underneath the radical sign. Yes
Created by: U0105006