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Which of the following expressions is equivalent to 
5.9 ×8.7 ?
Choose 1 answer:
(A) 
59 ×87 ×(1)/(100)
(B) 
59 ×87 ×(1)/(1,000)
(c) 
59 ×87 ×(1)/(10,000)
(D) 
59 ×87 ×(1)/(100,000)

Which of the following expressions is equivalent to \newline5.9×8.75.9 \times 8.7?\newlineChoose 11 answer:\newline(A) 59×87×110059 \times 87 \times \frac{1}{100}\newline(B) 59×87×11,00059 \times 87 \times \frac{1}{1,000}\newline(C) 59×87×110,00059 \times 87 \times \frac{1}{10,000}\newline(D) 59×87×1100,00059 \times 87 \times \frac{1}{100,000}

Full solution

Q. Which of the following expressions is equivalent to \newline5.9×8.75.9 \times 8.7?\newlineChoose 11 answer:\newline(A) 59×87×110059 \times 87 \times \frac{1}{100}\newline(B) 59×87×11,00059 \times 87 \times \frac{1}{1,000}\newline(C) 59×87×110,00059 \times 87 \times \frac{1}{10,000}\newline(D) 59×87×1100,00059 \times 87 \times \frac{1}{100,000}
  1. Problem Understanding: Understand the problem.\newlineWe need to find an expression that is equivalent to the multiplication of 5.95.9 and 8.78.7. The choices given are in the form of an integer multiplication followed by a division by a power of 1010.
  2. Decimal Conversion: Convert the decimal multiplication to an integer multiplication.\newline5.95.9 can be written as 5910\frac{59}{10} and 8.78.7 can be written as 8710\frac{87}{10}. When we multiply these two fractions, we multiply the numerators together and the denominators together.
  3. Multiplication: Perform the multiplication.\newline(5910)×(8710)=(59×87)/(10×10)=(59×87)/100(\frac{59}{10}) \times (\frac{87}{10}) = (59 \times 87) / (10 \times 10) = (59 \times 87) / 100
  4. Matching the Result: Match the result with the given choices.\newlineThe expression (59×87)/100(59 \times 87) / 100 is equivalent to 59×87×(1/100)59 \times 87 \times (1/100), which matches choice (A).

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