# How do you simplify 0.6(4-3^2) div 1 / 4 ^2 using PEMDAS?

May 13, 2017

$48$

#### Explanation:

PEMDAS stands for Parentheses, Exponent, Multiply, Divide, Add, and Subtract. First. start with the parentheses. Inside the parentheses, we have:

$4 - {3}^{2}$

Solve the exponent first. ${3}^{2} = 9$. So we have:

$4 - 9$

This becomes $- 5$. Now that we solved inside the parentheses, we're left with:

$0.6 \left(- 5\right) \div \frac{1}{4} ^ 2$

Exponents take precedence over multiplication and division. Solve for ${4}^{2}$. We get $16$ in the denominator. So we have:

$0.6 \left(- 5\right) \div \frac{1}{16}$

Multiplication and division have equal precedence. So we solve from left to right:

$0.6 \left(- 5\right) = - 3$

So now we have:

$3 \div \frac{1}{16}$

If you're dealing with fractions, you can flip the fraction and change the sign to a multiplication symbol. So we can rewrite it as:

$3 \times 16$

Solve:

$3 \times 16 = 48$