Questions: Convert the following number from scientific to decimal notation: 2.45 × 10^-4 a) 2450000 b) 24500 c) 0.000245 d) 0.024500

Transcript text: Convert the following number from scientific to decimal notation: $2.45 \times 10^{-4}$ a) 2450000 b) 24500 c) 0.000245 d) 0.024500

Solution

Solution Steps

To convert a number from scientific notation to decimal notation, we need to move the decimal point to the left or right based on the exponent. In this case, the exponent is -4, so we move the decimal point 4 places to the left.

Step 1: Convert Scientific Notation

The given number in scientific notation is $ 2.45 \times 10^{-4} $. To convert this to decimal notation, we need to move the decimal point 4 places to the left due to the negative exponent.

Step 2: Perform the Conversion

Moving the decimal point 4 places to the left from $ 2.45 $ gives us: \[ 2.45 \rightarrow 0.000245 \]

Step 3: Round the Result

The result $ 0.000245 $ is already in a concise form with four significant digits.