Question

Write $2\cdot 10^2 + 3\cdot 10^{-3}$ as a decimal.

Answer 1

To write $2\cdot 10^2 + 3\cdot 10^{-3}$ as a decimal, the first term is evaluated as 200 and the second term as 0.003, resulting in the sum of 200.003.

Step-by-step explanation:

When writing $2\cdot 10^2 + 3\cdot 10^{-3}$ as a decimal, we need to evaluate each part separately.

The first term, $2\cdot 10^2$, means 2 times 100, because 102 equals 100.

Therefore, $2\cdot 10^2$ equals 200.

For the second term, $3\cdot 10^{-3}$, we have 3 times 0.001, since 10-3 equals 0.001.

So, $3\cdot 10^{-3}$ equals 0.003.

Finally, we add these values together to get the decimal form: 200 + 0.003, which equals 200.003.