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This is not a real test, it will be used only for reviewing todays lesson. I would encourage you to all give it aIn mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression. Try and see how you do.
Questions and Answers
1.
10 - 3 x (5-3)^2 + 8 ÷ 2 =?
A.
2
B.
7
C.
9
D.
4
Correct Answer A. 2
Explanation The given expression involves the order of operations, which states that we must first calculate any operations inside parentheses. In this case, (5-3)^2 simplifies to 2^2, which equals 4. Next, we perform the multiplication, 3 x 4, which equals 12. Then, we perform the division, 8 รท 2, which equals 4. Finally, we subtract 12 and 4 from 10, resulting in 10 - 12 - 4 = -6. Therefore, the correct answer is 2.
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2.
4 + (2 + 1)^{2} = 13
A.
True
B.
False
Correct Answer A. True
Explanation The given equation can be solved by following the order of operations, which states that parentheses should be evaluated first. In this case, the expression inside the parentheses is 2 + 1, which equals 3. Replacing the parentheses with the result, the equation becomes 4 + 3 * 2. Multiplication is the next operation to be performed, resulting in 4 + 6. Finally, the addition is done, giving a final answer of 10. Since the given equation and the calculated answer do not match, the correct answer is False.
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3.
5 x 3-(8+7) x 2+16=?
A.
12
B.
15
C.
0
D.
1
Correct Answer D. 1
Explanation The given expression follows the order of operations (PEMDAS/BODMAS), which states that multiplication and division should be performed before addition and subtraction. Therefore, first, we multiply 5 by 3 to get 15. Then, we add 8 and 7, which gives us 15. Next, we multiply this sum by 2, resulting in 30. Finally, we subtract 30 from 15 and add 16 to get 1.
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4.
5+15/5 +(2+3)^2=__
Correct Answer 33
Explanation The given expression involves addition, division, and exponentiation. Following the order of operations, we first calculate the exponent (2+3)^2 which equals 25. Then, we perform the division 15/5 which equals 3. Finally, we add 5 to the previous result, giving us a final answer of 33.
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5.
What are the 6 different steps in solving a math problem, in order?