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)

Problem Understanding: Understand the problem. We need to find an expression that is equivalent to the multiplication of 5.9 and 8.7. The choices given are in the form of an integer multiplication followed by a division by a power of 10.Decimal Conversion: Convert the decimal multiplication to an integer multiplication. 5.9 can be written as 59/10 and 8.7 can be written as 87/10. When we multiply these two fractions, we multiply the numerators together and the denominators together.Multiplication: Perform the multiplication. (59/10) × (87/10) = (59 × 87) / (10 × 10) = (59 × 87) / 100Matching the Result: Match the result with the given choices. The expression (59 × 87) / 100 is equivalent to 59 × 87 × (1/100), which matches choice (A).

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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 $\newline$ $5.9 \times 8.7$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $59 \times 87 \times \frac{1}{100}$ $\newline$ (B) $59 \times 87 \times \frac{1}{1,000}$ $\newline$ (C) $59 \times 87 \times \frac{1}{10,000}$ $\newline$ (D) $59 \times 87 \times \frac{1}{100,000}$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following expressions is equivalent to

\newline

5.9 \times 8.7

\newline

Choose

1

answer:

\newline

(A)

59 \times 87 \times \frac{1}{100}

\newline

(B)

59 \times 87 \times \frac{1}{1,000}

\newline

(C)

59 \times 87 \times \frac{1}{10,000}

\newline

(D)

59 \times 87 \times \frac{1}{100,000}

Problem Understanding: Understand the problem. $\newline$ We need to find an expression that is equivalent to the multiplication of $5.9$ and $8.7$ . The choices given are in the form of an integer multiplication followed by a division by a power of $10$ .
Decimal Conversion: Convert the decimal multiplication to an integer multiplication. $\newline$ $5.9$ can be written as $\frac{59}{10}$ and $8.7$ can be written as $\frac{87}{10}$ . When we multiply these two fractions, we multiply the numerators together and the denominators together.
Multiplication: Perform the multiplication. $\newline$ $(\frac{59}{10}) \times (\frac{87}{10}) = (59 \times 87) / (10 \times 10) = (59 \times 87) / 100$
Matching the Result: Match the result with the given choices. $\newline$ The expression $(59 \times 87) / 100$ is equivalent to $59 \times 87 \times (1/100)$ , which matches choice (A).