Subtract 4.66×10−5−7.34×10−7 (1 point)
Responses
−2.68×102
negative 2.68 times 10 squared
4.5866×10−5
4.5866 times 10 superscript negative 5 baseline
−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline
2.68×102
2.68 times 10 squared
To subtract 4.66×10^(-5) - 7.34×10^(-7), you can follow these steps:
Step 1: Convert both numbers to the same power of 10:
- 4.66×10^(-5) remains the same;
- 7.34×10^(-7) can be written as 0.0734×10^(-5).
Step 2: Subtract the decimal parts:
0.0734 - 4.66 = -4.5866.
Step 3: Keep the same power of 10, which is 10^(-5). So the final answer is:
-4.5866×10^(-5).
Therefore, the correct response is option 3:
Negative 4.5866 times 10 to the power of negative 5.
To subtract numbers written in scientific notation, follow these steps:
Step 1: Make sure both numbers have the same power of 10. In this case, both numbers are already expressed in scientific notation with the power of 10, so we can move to the next step.
Step 2: Subtract the coefficients (numbers in front of the powers of 10). In this case, subtract 4.66 from 7.34:
7.34 - 4.66 = 2.68
Step 3: Keep the power of 10 the same. In this case, the power of 10 is -5 for both numbers.
Step 4: Write the result as a new number in scientific notation. The coefficient is 2.68, and the power of 10 is -5:
2.68 × 10^(-5)
So the correct answer is 2.68×10^(-5).