Questions: When 4.870 × 10^-3 is correctly converted to its standard form the number becomes
Multiple Choice
4870
4870.
0.00487
0.004870
0.0004870
Transcript text: When $4.870 \times 10^{-3}$ is correctly converted to its standard form the number becomes $\qquad$
Multiple Choice
4870
4870.
0.00487
0.004870
0.0004870
Solution
Solution Steps
To convert a number from scientific notation to standard form, multiply the base number by 10 raised to the power of the exponent. In this case, multiply 4.870 by 10 raised to the power of -3. This will shift the decimal point three places to the left.
Step 1: Understand the Problem
We need to convert the number \(4.870 \times 10^{-3}\) from scientific notation to standard form. This involves moving the decimal point according to the exponent.
Step 2: Apply the Conversion
The exponent \(-3\) indicates that we should move the decimal point three places to the left. Therefore, we start with \(4.870\) and shift the decimal point three places left.
Step 3: Calculate the Standard Form
Starting with \(4.870\), moving the decimal three places to the left gives us \(0.00487\).
Final Answer
The standard form of \(4.870 \times 10^{-3}\) is \(\boxed{0.00487}\). Therefore, the answer is the third option: 0.00487.