Question

Evaluate the expression 34 ÷ (14 − 5) × 2.

Answer 1

Answer:

$7\frac{5}{9}$

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

$\frac{34}{9}$×2

Now multiply $\frac{34}{9}$ by 2

$\frac{68}{9}$

(as a mixed fraction, it's 7$\frac{5}{9}$)

Hope this helps!