Question

same and different
which of these are the same? which are different?
$2.18 \times 10^{-2}$
$0.0218$
$2.18 \times \frac{1}{10^2}$
$2.18 \times \frac{1}{100}$

Explanation:

Step1: Evaluate scientific notation

$2.18 \times 10^{-2} = 2.18 \times \frac{1}{10^2} = \frac{2.18}{100} = 0.0218$

Step2: Evaluate fractional expression 1

$2.18 \times \frac{1}{10^2} = 2.18 \times \frac{1}{100} = 0.0218$

Step3: Evaluate fractional expression 2

$2.18 \times \frac{1}{100} = \frac{2.18}{100} = 0.0218$

Step4: Compare all values

All expressions simplify to 0.0218.

Answer:

All four expressions ($2.18 \times 10^{-2}$, $0.0218$, $2.18 \times \frac{1}{10^2}$, $2.18 \times \frac{1}{100}$) are the same; none are different.