Which shows the expression below in simplified form?(5 × 105) × (8 × 10-3) A. 4 × 103 B. 4 × 104 C. 4 × 102 D. 4 × 101
Question
Which shows the expression below in simplified form?(5 × 105) × (8 × 10-3) A. 4 × 103 B. 4 × 104 C. 4 × 102 D. 4 × 101
Solution
To simplify the expression, we first need to multiply the numbers and then multiply the powers of 10.
Step 1: Multiply the numbers 5 * 105 = 525 8 * 10^-3 = 0.008
Step 2: Multiply the results from step 1 525 * 0.008 = 4.2
Step 3: Convert the result to scientific notation 4.2 can be written as 4.2 * 10^0
Step 4: Multiply the powers of 10 10^5 * 10^-3 = 10^2
Step 5: Combine the results from step 3 and step 4 4.2 * 10^0 * 10^2 = 4.2 * 10^2
So, the simplified form of the expression is 4.2 * 10^2. However, none of the options A, B, C, or D match this result. There might be a mistake in the question or the options.
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