Evaluate (|1-17|*(-16))÷(-4)

$| 1 - 17 | \cdot (- 16) \div (- 4)$

Rewrite the division as a fraction.

$\frac{| 1 - 17 | \cdot (- 16)}{- 4}$

Cancel the common factor of $- 16$ and $- 4$ .

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Factor $- 4$ out of $| 1 - 17 | \cdot (- 16)$ .

$\frac{- 4 (| 1 - 17 | \cdot (4))}{- 4}$

Cancel the common factors.

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Factor $- 4$ out of $- 4$ .

$\frac{- 4 (| 1 - 17 | \cdot (4))}{- 4 (1)}$

Cancel the common factor.

$\frac{- 4 (| 1 - 17 | \cdot (4))}{- 4 \cdot 1}$

Rewrite the expression.

$\frac{| 1 - 17 | \cdot (4)}{1}$

Divide $| 1 - 17 | \cdot (4)$ by $1$ .

$| 1 - 17 | \cdot (4)$

Subtract $17$ from $1$ .

$| - 16 | \cdot 4$

The absolute value is the distance between a number and zero. The distance between $- 16$ and $0$ is $16$ .

$16 \cdot 4$

Multiply $16$ by $4$ .

$64$

Evaluate (|1-17|*(-16))÷(-4)

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