Calculate 4.8 × 10^-3
- 9.4 x 10^-6 Express the answer in scientific notation rounding to 2 decimal
places. (1 point)
4.8 × 10^-3 - 9.4 × 10^-6 = (4.8 - 9.4) × 10^-3-6 = -4.6 × 10^-3-6 = -4.6 × 10^-9
To calculate the product of 4.8 × 10^-3 and 9.4 × 10^-6, we can multiply the coefficients and add the exponents.
Step 1: Multiply the coefficients:
4.8 × 9.4 = 45.12
Step 2: Add the exponents:
10^-3 + 10^-6 = 10^(-3+(-6)) = 10^-9
Step 3: Express the answer in scientific notation:
45.12 × 10^-9
Step 4: Round to 2 decimal places:
45.12 rounded to 2 decimal places is 45.10
The final answer, expressed in scientific notation, rounded to 2 decimal places, is 45.10 × 10^-9
To solve this problem, we will multiply 4.8 by 10 raised to the power of -3 and subtract 9.4 multiplied by 10 raised to the power of -6.
1. First, multiply 4.8 by 10 raised to the power of -3:
4.8 × 10^-3 = 0.0048
2. Next, multiply 9.4 by 10 raised to the power of -6:
9.4 × 10^-6 = 0.0000094
3. Finally, subtract the second result from the first result:
0.0048 - 0.0000094 = 0.0047906
To express the answer in scientific notation rounding to 2 decimal places, we need to move the decimal point two places to the left to get a number between 1 and 10. In this case, we would move the decimal point two places to the left, resulting in:
0.0047906 = 4.7906 × 10^-3
Therefore, the answer is 4.7906 × 10^-3 in scientific notation rounded to 2 decimal places.