Question

which of these expressions is equivalent to $0.8 \div 0.02$?$0.8 \div 2$$80 \div 2$$800 \div 2$$8,000 \div 2$equivalent expressions have the same value. when you multiply both the dividend and divisor by the same power of 10, the quotient stays the same.

Explanation:

Step1: Eliminate decimal in divisor

Multiply dividend and divisor by 100:
$$0.8 \div 0.02 = \frac{0.8 \times 100}{0.02 \times 100} = \frac{80}{2}$$

Step2: Rewrite as division expression

$\frac{80}{2}$ is equal to $80 \div 2$

Step3: Verify quotient consistency

Calculate original and new quotient:
$0.8 \div 0.02 = 40$, $80 \div 2 = 40$

Answer:

$80 \div 2$