Question

summer math - week 2

order of operations:

its important to follow the order of operations when evaluating an expression. otherwise, you might get the wrong answer! you can remember the order of operations using the acronym pemdas:

1. parentheses, and other grouping symbols
2. exponents
3. multiplication and division, from left to right
4. addition and subtraction, from left to right

if your problem doesnt have one of these steps, move on to the next step!

lets try an example. use the order of operations to evaluate \\(4 \times 6 + 2^2 - (4 + 3)\\).

\\(4 \times 6 + 2^2 - (4 + 3)\\) first, simplify whats inside the parentheses. \\(4 + 3 = 7\\)
\\(4 \times 6 + 2^2 - 7\\) then, evaluate the exponent. \\(2^2 = 4\\)
\\(4 \times 6 + 4 - 7\\) next, multiply. \\(4 \times 6 = 24\\)
\\(24 + 4 - 7\\) then, add. \\(24 + 4 = 28\\)
\\(28 - 7 = 21\\) finally, subtract. \\(28 - 7\\) to get the answer, \\(21\\).

evaluate each expression using the order of operations.

1. \\(9 + 7 \times 8\\)
2. \\(46 + 19 - 4^2\\)
3. \\(16 \div 4 + 7\\)
4. \\(10^2 - 2 + 40 \div 8\\)
5. \\(8 \times 12 \div (30 - 6)\\)
6. \\(64 - (8 + 12) \times 3\\)
7. \\(21 - (3 + 4) \times 6\\)
8. \\((9 - 5) \times 7 - 2 \times 8\\)
9. \\(48 \div 6 \times 2^2 - (3 + 5)\\)

Explanation:

Evaluate expressions 1 to 3

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Evaluate expressions 4 to 6

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Evaluate expressions 7 to 9

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$$

Answer:

No.	Problem	Answer
2	\(46 + 19 - 4^2\)	\(49\)
3	\(16 \div 4 + 7\)	\(11\)
4	\(10^2 - 2 + 40 \div 8\)	\(103\)
5	\(8 \times 12 \div (30 - 6)\)	\(4\)
6	\(64 - (8 + 12) \times 3\)	\(4\)
7	\(21 \div (3 + 4) \times 6\)	\(18\)
8	\((9 - 5) \times 7 - 2 \times 8\)	\(12\)
9	\(48 \div 6 \times 2^2 - (3 + 5)\)	\(24\)