7 is the answer. The order of operations would be to multiply the 2 times 1 and then add the five other 1's. (Unless there are parenthesis around some of the numbers) Here are the orders # Parentheses # Exponents # Multiplication and Division # Addition and Subtraction
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3/4 x 1 1/2"
3/4 x 1 1/2"
x2 + y2 = 1x2- x2+ y2= 1 - x2y2 = 1 - x2y =± √(1 - x2)
5/12 Make the denominator (the bottom number) the same. 1/4 becomes (1x3)/(4x3) = 3/12 1/6 becomes (1x2)/(6x2) = 2/12 3/12 + 2/12 = 5/12
You can use Excel or another spreadsheet to do the calculations. Put the numbers 1, 2, 3, ... in one column, the numbers 2, 3, 4, ... in the second column, and the product (for example, "=A1 * B1") in the third. Then add it all up. There might be a shortcut to do this kind of calculation, but I don't know of any.