Question

7.89 x 10⁻⁶ + 2.35 x 10⁻⁸ =

Answer 1

To add 7.89 x 10⁻⁶ and 2.35 x 10⁻⁸, the numbers need to have the same exponent. By converting the second term to 0.0235 x 10⁻⁶, we can simply add the coefficients to get 7.9135 x 10⁻⁶, which rounds to 7.914 x 10⁻⁶.

Step-by-step explanation:

The student has asked to perform the calculation 7.89 x 10⁻⁶ + 2.35 x 10⁻⁸. This involves adding two numbers written in scientific notation. To add them, they should be expressed with the same exponent. In this case, we can convert 2.35 x 10⁻⁸ to a number with an exponent of ⁻⁶:

2.35 x 10⁻⁸ = 0.0235 x 10⁻⁶

Now, add these two numbers:

7.89 x 10⁻⁶ + 0.0235 x 10⁻⁶ = (7.89 + 0.0235) x 10⁻⁶ = 7.9135 x 10⁻⁶

Since we generally use one digit before the decimal point in scientific notation, we can round this to:

7.914 x 10⁻⁶ (after rounding to four significant figures).