Evaluating Numerical Expressions with Integers Worksheets - Free Printable

Let's evaluate each of the numerical expressions step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

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1) $ 3 \times (-96) + 12 + 9 $

- First, multiply:
$ 3 \times (-96) = -288 $
- Then add:
$ -288 + 12 = -276 $
$ -276 + 9 = -267 $

✔ Answer: $-267$

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2) $ 20 - 75 + 10 \times 6 $

- First, multiplication:
$ 10 \times 6 = 60 $
- Now simplify left to right:
$ 20 - 75 = -55 $
$ -55 + 60 = 5 $

✔ Answer: $5$

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3) $ (-35) + 5 \times 4 + 11 $

- First, multiplication:
$ 5 \times 4 = 20 $
- Now add/subtract left to right:
$ -35 + 20 = -15 $
$ -15 + 11 = -4 $

✔ Answer: $-4$

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4) $ 15 - 6 \times 14 + (-7) $

- First, multiplication:
$ 6 \times 14 = 84 $
- Now simplify:
$ 15 - 84 = -69 $
$ -69 + (-7) = -76 $

✔ Answer: $-76$

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5) $ 31 + 19 - 12 \times 2 $

- First, multiplication:
$ 12 \times 2 = 24 $
- Now left to right:
$ 31 + 19 = 50 $
$ 50 - 24 = 26 $

✔ Answer: $26$

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6) $ 2 \times 6 + 5 - 49 $

- First, multiplication:
$ 2 \times 6 = 12 $
- Now left to right:
$ 12 + 5 = 17 $
$ 17 - 49 = -32 $

✔ Answer: $-32$

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7) $ 44 + 4 \times 7 - 32 $

- First, multiplication:
$ 4 \times 7 = 28 $
- Now left to right:
$ 44 + 28 = 72 $
$ 72 - 32 = 40 $

✔ Answer: $40$

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8) $ 18 + 13 \times (-5) + 21 $

- First, multiplication:
$ 13 \times (-5) = -65 $
- Now left to right:
$ 18 + (-65) = -47 $
$ -47 + 21 = -26 $

✔ Answer: $-26$

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9) $ (-26) - 16 + 64 + 8 $

- All are addition/subtraction; go left to right:
$ -26 - 16 = -42 $
$ -42 + 64 = 22 $
$ 22 + 8 = 30 $

✔ Answer: $30$

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10) $ 12 \times 5 - 24 + (-2) $

- First, multiplication:
$ 12 \times 5 = 60 $
- Now left to right:
$ 60 - 24 = 36 $
$ 36 + (-2) = 34 $

✔ Answer: $34$

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✔ Final Answers:

1) $-267$
2) $5$
3) $-4$
4) $-76$
5) $26$
6) $-32$
7) $40$
8) $-26$
9) $30$
10) $34$

Let me know if you'd like these explained in a different format or need help with similar problems!