Question

simplify: \\((6.2 \times 10^4) + (4.8 \times 10^4)\\)

a. \\(11 \times 10^4\\)
b. \\(1.1 \times 10^5\\)
c. \\(1.0 \times 10^5\\)
d. \\(11 \times 10^5\\)

Explanation:

Identify the common power of ten

Using the Scientific Notation Addition knowledge point

$$ (6.2 \times 10^4) + (4.8 \times 10^4) $$

Both terms share the common factor \(10^4\).

Factor out the common power of ten

Using the Scientific Notation Addition knowledge point

$$ (6.2 + 4.8) \times 10^4 $$

Add the decimal coefficients

Using the Scientific Notation Addition knowledge point

$$ 6.2 + 4.8 = 11.0 $$

$$ 11 \times 10^4 $$

Convert to standard scientific notation

Using the Scientific Notation Addition knowledge point

$$ 11 \times 10^4 = (1.1 \times 10^1) \times 10^4 = 1.1 \times 10^5 $$

Answer:

• A. \(11 \times 10^4\)
• B. \(1.1 \times 10^5\) (Correct answer)
• C. \(1.0 \times 10^5\)
• D. \(11 \times 10^5\)