Questions: Select the sum of the following expression: 3.4 × 10^4 + 2.1 × 10^4 (A) 5.5 × 10^8 (B) 5.5 × 10^4 (C) 3.61 × 10^8 (D) 3.61 × 10^4

Select the sum of the following expression: 3.4 × 10^4 + 2.1 × 10^4 (A) 5.5 × 10^8 (B) 5.5 × 10^4 (C) 3.61 × 10^8 (D) 3.61 × 10^4
Transcript text: Select the sum of the following expression: \[ 3.4 \times 10^{4}+2.1 \times 10^{4} \] (A) $5.5 \times 10^{8}$ (B) $5.5 \times 10^{4}$ (C) $3.61 \times 10^{8}$ (D) $3.61 \times 10^{4}$
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Solution

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Solution Steps

To solve the given expression, we need to add the two numbers in scientific notation. Both numbers have the same power of 10, so we can directly add the coefficients and keep the power of 10 unchanged.

Step 1: Identify the Expression

The given expression is: \[ 3.4 \times 10^{4} + 2.1 \times 10^{4} \]

Step 2: Add the Coefficients

Since both terms have the same power of \(10\), we can add the coefficients directly: \[ 3.4 + 2.1 = 5.5 \]

Step 3: Combine with the Power of 10

The sum of the coefficients is multiplied by \(10^{4}\): \[ 5.5 \times 10^{4} \]

Final Answer

The sum of the expression is: \[ \boxed{5.5 \times 10^{4}} \] Thus, the correct answer is (B) \(5.5 \times 10^{4}\).

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