9. Calculate 5.3 * 10 ^ - 3 - 6.7 * 10 ^ - 6 Express the answer in scientific notation rounding to 2 decimal places.
To perform this calculation, we need to determine the value of (5.3 * 10^-3) - (6.7 * 10^-6).
First, let's subtract the values outside of the scientific notation. 5.3 - 6.7 = -1.4.
Next, let's subtract the values inside the scientific notation and keep the same base (10) for the scientific notation. 10^-3 - 10^-6 = 0.001 - 0.000001 = 0.000999.
Now let's combine the results: -1.4 * 0.000999.
To express this result in scientific notation, we need to determine the value of this number between 1 and 10. In this case, we can round the result to 0.0014.
Thus, the final answer in scientific notation, rounded to 2 decimal places, is 1.4 * 10^-3.
To calculate 5.3 * 10 ^ -3 - 6.7 * 10 ^ -6, we need to subtract the values.
Step 1: Rewrite the expression in scientific notation.
5.3 * 10 ^ -3 = 0.0053
6.7 * 10 ^ -6 = 0.0000067
Step 2: Subtract the values.
0.0053 - 0.0000067 = 0.0052933
Step 3: Convert the answer back to scientific notation.
Since the question asks for the answer in scientific notation rounding to 2 decimal places, we need to move the decimal point to the right until we have a number between 1 and 10. In this case, we need to move the decimal point three places to the right.
0.0052933 = 5.2933 * 10 ^ -3
Rounding this to 2 decimal places, the final answer is 5.29 * 10 ^ -3 in scientific notation.
To calculate 5.3 * 10^(-3) - 6.7 * 10^(-6), we need to follow these steps:
Step 1: First, let's express both numbers in scientific notation.
5.3 * 10^(-3) = 0.0053
6.7 * 10^(-6) = 0.0000067
Step 2: Next, subtract the two numbers.
0.0053 - 0.0000067 = 0.0052933
Step 3: Now, we need to express this result in scientific notation and round it to two decimal places.
To write a number in scientific notation, we need to find the mantissa, which is a number between 1 and 10, and the exponent, which represents the power of 10.
In this case, the mantissa is 5.2933, and the exponent is -3 since we moved the decimal point three places to the left to get 0.0052933.
Step 4: Rounding to two decimal places gives us -0.0053 (since the original number 0.0052933 has three digits after the decimal point and the fourth digit is less than 5).
Therefore, the answer is approximately -5.3 * 10^(-3) in scientific notation, rounded to two decimal places.