Question

Express 8.2×10⁻⁵ + 0.0004 in scientific notation:

A. 8.28×10⁻⁵
B. 4.82×10⁻⁴
C. 4.82×10⁻⁵
D. 8.28×10⁻⁴ₙ

Answer 1

To express 8.2×10⁻⁵ + 0.0004 in scientific notation, we add the two numbers and then rewrite the result using the base 10. The result is 1.22×10¹.

Step-by-step explanation:

To express 8.2×10⁻⁵ + 0.0004 in scientific notation, we need to add these two numbers together and then rewrite the result in scientific notation.

8.2×10⁻⁵ + 0.0004 = 8.2×10⁻⁵ + 4×10⁻⁴

Since both numbers have the same base (10), we can add them together: 8.2×10⁻⁵ + 4×10⁻⁴ = 8.2 + 4 = 12.2

Now, we can express this result in scientific notation by moving the decimal point to the left, so that the number is between 1 and 10: 12.2 = 1.22×10¹.

Therefore, the expression 8.2×10⁻⁵ + 0.0004 in scientific notation is 1.22×10¹.