Subtract numbers in scientific notation quick check unit 4 lesson 7

Answer 1

To subtract numbers in scientific notation, you follow these steps:

1. Ensure that the exponents are the same. If they are not, adjust one or both of the numbers so that the exponents match.

2. Subtract the coefficients (the numbers in front of the multiplication sign).

3. Keep the exponent the same for the result.

4. If necessary, simplify the resulting coefficient by moving the decimal point to the left or right to make it a number between 1 and 10.

Example:
Let's subtract 3.5 x 10^4 from 7.2 x 10^3.

1. Adjust the numbers so that the exponents match. In this case, we can multiply 7.2 x 10^3 by 10 to get 72 x 10^3.

2. Subtract the coefficients: 72 - 3.5 = 68.5.

3. Keep the exponent the same: 10^3.

4. Simplify the coefficient: 68.5 is already between 1 and 10, so it remains the same.

The result is 68.5 x 10^3.