a rock formation in a cave grows at a rate of $9 \\times 10^{-3}$ centimeter per year.\nhow much does the…

a rock formation in a cave grows at a rate of $9 \\times 10^{-3}$ centimeter per year.\nhow much does the rock formation grow in 50,000 years? write your answer using scientific notation.\n? × ? cm

a rock formation in a cave grows at a rate of $9 \\times 10^{-3}$ centimeter per year.\nhow much does the rock formation grow in 50,000 years? write your answer using scientific notation.\n? × ? cm

Answer

Explanation:

Step1: Convert time to scientific notation

$50,000 = 5 \times 10^4$ years

Step2: Multiply rate by time

$(9 \times 10^{-3}) \times (5 \times 10^4) = (9 \times 5) \times (10^{-3} \times 10^4)$

Step3: Calculate coefficients and exponents

$45 \times 10^{1} = 4.5 \times 10^2$

Answer:

$4.5 \times 10^2$ cm