Final answer:
The number 94 × 10³ in scientific notation is 9.4 × 10⁴, achieved by moving the decimal one place to the left and increasing the exponent by one. The correct answer is option 1.
Step-by-step explanation:
To convert the number 94 × 10³ into the correct scientific notation, we must express it in the form of a number between 1 and 10 multiplied by a power of 10. The correct scientific notation for the given number is 9.4 × 10⁴. Here's how we do it:
- First, identify the number that needs to be between 1 and 10. In this case, moving the decimal one place to the left of 94 gives us 9.4.
- Since we moved the decimal one place to the left, we need to increase the exponent by 1 to balance the equation. So, the exponent of 10 changes from 3 to 4.
The final answer in scientific notation is 9.4 × 10⁴.
When using a calculator to evaluate expressions in scientific notation, make sure to enter the numbers correctly and apply the appropriate mathematical operations, whether it's multiplication, division, or any other. Always simplify the final result into proper scientific notation if needed.