MHB Evaluating Arithmetic Expression

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The small '2' next to the -4 in the equation indicates an exponent, meaning -4 is squared, or multiplied by itself. The correct interpretation of the expression (3)(-4)² - (3)(-5) leads to calculating (3)(16) - (3)(-5). The calculations show that (3)(16) equals 48 and (3)(-5) equals -15, resulting in 48 + 15, which totals 63. The discussion emphasizes the importance of correctly applying the order of operations, specifically BIMDAS. Understanding exponents is crucial for solving such arithmetic expressions accurately.
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I need help figuring out what the little 2 next to an equation means this is what my problem looks like I have the answer but I can't figure out how it was found out. (3)(-4)2 - (3)(-5) so the 2 next to the 4 in parentheses is little.
 
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Britt said:
I need help figuring out what the little 2 next to an equation means this is what my problem looks like I have the answer but I can't figure out how it was found out. (3)(-4)2 - (3)(-5) so the 2 next to the 4 in parentheses is little.

Do you mean $(3)(-4)^{2}-(3)(-5)?$ If so, the small raised '2' is an exponent. That is a shorthand notation for multiplying something by itself a certain number of times.
 
My tip: BIMDAS!

-4 squared is 16 as I have shown. And then open the brackets. (3)(16) - 3 + 5

3x16 = 48

-3+5 = 2

48 + 2 = 50

But yeah, as Ackbach said, a little 2 is a squared sign meaning to multiply it by itself.
 
Beer soaked ramblings follow.
SDAlgebra said:
My tip: BIMDAS!

-4 squared is 16 as I have shown. And then open the brackets. (3)(16) - 3 + 5

3x16 = 48

-3+5 = 2

48 + 2 = 50

But yeah, as Ackbach said, a little 2 is a squared sign meaning to multiply it by itself.
8 year old thread revived.
 
And apparently revived to give the wrong answer!

The original problem was $(3)(-4)^2- (3)(-5)$.
The -5 is multiplied by -3, not subtracted from it.
3(16)+ 15= 48+ 15= 63, not 50.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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