Question

mixed word problems scientific notation
question
$5.8 \times 10^7$ bacteria are measured to be in a dirt sample that weighs 1 gram. use scientific notation to express the number of bacteria that would be in a sample weighing 18 grams.
answer
attempt 1 out of 2
answer: \boxed{} $\times 10^{}$ bacteria

Explanation:

Step1: Find total bacteria in 18g

Multiply bacteria per gram by 18: \( (5.8 \times 10^7) \times 18 \)

Step2: Calculate the product

\( 5.8 \times 18 = 104.4 \), so \( 104.4 \times 10^7 \)

Step3: Convert to scientific notation

Rewrite \( 104.4 \) as \( 1.044 \times 10^2 \), then multiply by \( 10^7 \): \( 1.044 \times 10^2 \times 10^7 = 1.044 \times 10^{9} \)

Answer:

\( 1.044 \times 10^{9} \)