Question

question 15 (1 point) listen which is correct if 0.01234 is rewritten in scientific notation? a) $12.3 \times 10^4$ b) $1.234 \times 10^{-2}$ c) $1.234 \times 10^2$ d) $1 \times 10^{-1}$ e) $1.234 \times 10^{-3}$

Explanation:

Step1: Define scientific notation rule

Scientific notation is $a \times 10^n$, where $1 \leq a < 10$, $n$ is integer.

Step2: Adjust 0.01234 to fit $a$

Move decimal 2 places right: $a=1.234$

Step3: Determine exponent $n$

Decimal moved right 2 places, so $n=-2$

Step4: Verify the result

$1.234 \times 10^{-2} = 1.234 \times \frac{1}{100} = 0.01234$

Answer:

b) $1.234 \times 10^{-2}$