Question 2 (a) Calculate $$ 2.5 imes 10^{8}+2.4 imes 10^{14}-3.6 imes 10^{7} $$, expressing your answer in scientific notation.

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Question 2 (a) Calculate $$ 2.5 	imes 10^{8}+2.4 	imes 10^{14}-3.6 	imes 10^{7} $$, expressing your answer in scientific notation.

UpStudy AI · Accepted Answer

$$
\textbf{Step 1: Express each term with a common power of 10, say } 10^{14}.
$$

$$
2.5 \times 10^{8} = 2.5 \times 10^{8-14} \times 10^{14} = 2.5 \times 10^{-6} \times 10^{14}
$$

$$
2.4 \times 10^{14} \text{ is already in the form } (\text{coefficient}) \times 10^{14}.
$$

$$
3.6 \times 10^{7} = 3.6 \times 10^{7-14} \times 10^{14} = 3.6 \times 10^{-7} \times 10^{14}
$$

$$
\textbf{Step 2: Write out the whole expression with } 10^{14} \textbf{:}
$$

$$
2.5 \times 10^{8}+2.4 \times 10^{14}-3.6 \times 10^{7} = \left(2.5 \times 10^{-6} + 2.4 - 3.6 \times 10^{-7}\right) \times 10^{14}
$$

$$
\textbf{Step 3: Combine the small coefficients:}
$$

$$
2.5 \times 10^{-6} - 3.6 \times 10^{-7} = 2.5 \times 10^{-6} - 0.36 \times 10^{-6} = (2.5 - 0.36) \times 10^{-6} = 2.14 \times 10^{-6}
$$

$$
\textbf{Step 4: Add this to the main coefficient:}
$$

$$
2.4 + 2.14 \times 10^{-6} \approx 2.40000214
$$

$$
\textbf{Step 5: Write the final result in scientific notation:}
$$

$$
\boxed{2.40000214 \times 10^{14}}
$$

$$
\textbf{Note:} \text{ Considering the significant figures in the original numbers, it is also acceptable to round the result to } 2.4 \times 10^{14}.
$$
The result is $$ 2.40000214 \times 10^{14} $$.

Question 2
(a) Calculate , expressing your answer in scientific notation.

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Question 2 (a) Calculate , expressing your answer in scientific notation.