Questions: a) Write the number as a whole number or decimal: 2.51 × 10^-3 b) Write the number in scientific notation: 48,700,000

a) Write the number as a whole number or decimal: 2.51 × 10^-3 b) Write the number in scientific notation: 48,700,000
Transcript text: MATH1111: College Algebra (45821) 1.2 Homework Question 7 a) Write the number as a whole number or decimal: \[ 2.51 \times 10^{-3}= \] $\square$ b) Write the number in scientific notation: \[ 48,700,000= \] $\square$
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Solution

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Solution Steps

Step 1: Convert \(2.51 \times 10^{-3}\) to a decimal

To convert \(2.51 \times 10^{-3}\) to a decimal, move the decimal point 3 places to the left: \[ 2.51 \times 10^{-3} = 0.00251 \]

Step 2: Write \(48,700,000\) in scientific notation

To write \(48,700,000\) in scientific notation, move the decimal point to the right of the first non-zero digit and count the number of places moved: \[ 48,700,000 = 4.87 \times 10^7 \]

Final Answer

a) \(\boxed{0.00251}\)
b) \(\boxed{4.87 \times 10^7}\)

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