# How do you evaluate the expression: 28 ÷ 2 ÷ 2 ÷ 2?

Jul 17, 2016

$3 \frac{1}{2}$ by a variety of methods, but take care!

#### Explanation:

As there is only one operation (all division) we work from left to right.

$28 \div 2 \div 2 \div 2$

=$14 \div 2 \div 2$

=$7 \div 2$
= $3 \frac{1}{2}$

However, it is important to note that division is not commutative.

We also CANNOT do the following:

$28 \div 2 \div \left(2 \div 2\right)$

This will give $14 \div 1 = 14$

Dividing by a divide should make a multiplication!

= $28 \div 2 \div \left(2 \times 2\right) = 14 \div 4 = 3 \frac{1}{2}$

We CAN do the following:

$28 \div \left(2 \times 2 \times 2\right) = 28 \div 8 = 3 \frac{1}{2}$

We could also write the expression as a fraction:

$\frac{28}{2 \times 2 \times 2} = \frac{7}{2} = 3 \frac{1}{2}$