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What is the value of the expression below?

10 + 3|1 ― 7|

(2 points)
Responses

- 78
- 78

- 8
- 8

28
28

78
78

1 answer

To evaluate the expression \( 10 + 3|1 - 7| \), we follow the order of operations:

  1. Calculate \( |1 - 7| \): \[ 1 - 7 = -6 \quad \text{and} \quad |-6| = 6 \]

  2. Substitute back into the expression: \[ 10 + 3|1 - 7| = 10 + 3 \times 6 \]

  3. Calculate \( 3 \times 6 \): \[ 3 \times 6 = 18 \]

  4. Add this to 10: \[ 10 + 18 = 28 \]

Thus, the value of the expression is \( \boxed{28} \).