Q. Which of the following expressions is equivalent to 0.034×4.8?Choose 1 answer:(A) 34×48×101(B) 34×48×1001(C) 34×48×1,0001(D) 34×48×10,0001
Rewrite without decimal: Rewrite the expression without decimal. 0.034 can be written as 34 and 4.8 can be written as 48, but we need to account for the decimal places that we've removed.
Count decimal places: Count the decimal places in the original expression.0.034 has three decimal places.4.8 has one decimal place. Together, they have 3+1=4 decimal places.
Multiply whole numbers: Multiply the whole numbers.34×48=1632
Apply decimal places: Apply the decimal places to the product.Since the original expression had 4 decimal places, we need to divide the product by 10,000 (which is 104) to place the decimal correctly.1632 divided by 10,000 is 0.1632.
Match with options: Match the result with the given options.The correct expression that represents 0.034×4.8 is 34×48 divided by 10,000, which is option (D).
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