Pre-Algebra Examples

$3 | - 7 - 4 | \div 3 + \sqrt{49}$

Step 1

Subtract $4$ from $- 7$ .

$3 | - 11 | \div 3 + \sqrt{49}$

Step 2

Simplify each term.

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Step 2.1

Rewrite the division as a fraction.

$\frac{3 | - 11 |}{3} + \sqrt{49}$

Step 2.2

Cancel the common factor of $3$ .

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Step 2.2.1

Cancel the common factor.

$\frac{3 | - 11 |}{3} + \sqrt{49}$

Step 2.2.2

Divide $| - 11 |$ by $1$ .

$| - 11 | + \sqrt{49}$

Step 2.3

The absolute value is the distance between a number and zero. The distance between $- 11$ and $0$ is $11$ .

$11 + \sqrt{49}$

Step 2.4

Rewrite $49$ as $7^{2}$ .

$11 + \sqrt{7^{2}}$

Step 2.5

Pull terms out from under the radical, assuming positive real numbers.

$11 + 7$

Step 3

Add $11$ and $7$ .

$18$