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Which of the following expressions is equivalent to 
0.034 ×4.8 ?
Choose 1 answer:
(A) 
34 ×48 ×(1)/(10)
(B) 
34 ×48 ×(1)/(100)
(C) 
34 ×48 ×(1)/(1,000)
(D) 
34 ×48 ×(1)/(10,000)

Which of the following expressions is equivalent to \newline0.034×4.80.034 \times 4.8?\newlineChoose 11 answer:\newline(A) 34×48×11034 \times 48 \times \frac{1}{10}\newline(B) 34×48×110034 \times 48 \times \frac{1}{100}\newline(C) 34×48×11,00034 \times 48 \times \frac{1}{1,000}\newline(D) 34×48×110,00034 \times 48 \times \frac{1}{10,000}

Full solution

Q. Which of the following expressions is equivalent to \newline0.034×4.80.034 \times 4.8?\newlineChoose 11 answer:\newline(A) 34×48×11034 \times 48 \times \frac{1}{10}\newline(B) 34×48×110034 \times 48 \times \frac{1}{100}\newline(C) 34×48×11,00034 \times 48 \times \frac{1}{1,000}\newline(D) 34×48×110,00034 \times 48 \times \frac{1}{10,000}
  1. Rewrite without decimal: Rewrite the expression without decimal. 0.0340.034 can be written as 3434 and 4.84.8 can be written as 4848, but we need to account for the decimal places that we've removed.
  2. Count decimal places: Count the decimal places in the original expression.0.0340.034 has three decimal places.4.84.8 has one decimal place. Together, they have 3+1=43 + 1 = 4 decimal places.
  3. Multiply whole numbers: Multiply the whole numbers.\newline34×48=163234 \times 48 = 1632
  4. Apply decimal places: Apply the decimal places to the product.\newlineSince the original expression had 44 decimal places, we need to divide the product by 10,00010,000 (which is 10410^4) to place the decimal correctly.\newline16321632 divided by 10,00010,000 is 0.16320.1632.
  5. Match with options: Match the result with the given options.\newlineThe correct expression that represents 0.034×4.80.034 \times 4.8 is 34×4834 \times 48 divided by 10,00010,000, which is option (D).

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