QUESTION:
Perform the following operation and express the answer in scientific notation.
9.80 x 10-3 + 1.60 × 10-4
Step-by-step explanation:
9.80 x 10-3 + 1.60 × 10-4
First let's apply exponent rule:
a^-b = 1/a^b
10^-3 = 1/10^3
= 9.8 x 1/10^3 + 10^-4 x 1.6
Let's apply exponent rule:
a^-b = 1/a^b
10^-4 = 1/10^4
9.8 x 1/10^3 + 1.6 x 1/10^4
9.8 x 1/10^3 = 9.8 x 0.001 = 0.0098
1.6 x 10^-4 = 1.6 x 0.0001 = 0.00016
= 0.0098 + 0.00016
= 0.00996
= 9.96 x 10³
Therefore 9.80 x 10-3 + 1.60 × 10-4 in scientific notation is 9.96 x 10³.