Which of the following expressions is equivalent to 0.8 ×12.4 ? Choose 1 answer: (A) 8×124÷100 (B) 8×124÷1,000 (c) 8×124÷10,000 (D) 8×124÷100,000

Convert to Fractions: First, let's express 0.8 as a fraction in terms of its decimal place value. 0.8 can be written as 8/10 or 80/100.Express 12.4 as Fraction: Now, let's express 12.4 in a similar way. 12.4 can be written as 124/10.Multiply Fractions: To find an expression equivalent to 0.8 × 12.4, we can multiply the numerators and denominators of the fractions we've found for each number. (80/100) × (124/10) = (80 × 124) / (100 × 10)Simplify Expression: Simplify the expression by multiplying the numerators and denominators. (80 × 124) / (100 × 10) = 9920 / 1000Divide by 10: Now, let's simplify the fraction by dividing both the numerator and the denominator by 10. 9920 / 1000 = 992 / 100Match with Options: The expression 992 / 100 is equivalent to 9.92, which is the result of 0.8 × 12.4. Now, let's match this with the given options. The correct expression that matches this result is 8 × 124 ÷ 100, which is option (A).

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Which of the following expressions is equivalent to
0.8 ×12.4 ?
Choose 1 answer:
(A)
8×124÷100
(B)
8×124÷1,000
(c)
8×124÷10,000
(D)
8×124÷100,000

Which of the following expressions is equivalent to $\newline$ $0.8 \times 12.4$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $8\times124\div100$ $\newline$ (B) $8\times124\div1,000$ $\newline$ (C) $8\times124\div10,000$ $\newline$ (D) $8\times124\div100,000$

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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

0.8 \times 12.4

\newline

Choose

1

answer:

\newline

(A)

8\times124\div100

\newline

(B)

8\times124\div1,000

\newline

(C)

8\times124\div10,000

\newline

(D)

8\times124\div100,000

Convert to Fractions: First, let's express $0.8$ as a fraction in terms of its decimal place value. $\newline$ $0.8$ can be written as $\frac{8}{10}$ or $\frac{80}{100}$ .
Express $12$ . $4$ as Fraction: Now, let's express $12$ . $4$ in a similar way. $12.4$ can be written as $\frac{124}{10}$ .
Multiply Fractions: To find an expression equivalent to $0.8 \times 12.4$ , we can multiply the numerators and denominators of the fractions we've found for each number. $\newline$ $(\frac{80}{100}) \times (\frac{124}{10}) = (\frac{80 \times 124}{100 \times 10})$
Simplify Expression: Simplify the expression by multiplying the numerators and denominators. $\newline$ $(80 \times 124) / (100 \times 10) = 9920 / 1000$
Divide by $10$ : Now, let's simplify the fraction by dividing both the numerator and the denominator by $10$ . $\frac{9920}{1000} = \frac{992}{100}$
Match with Options: The expression $992 / 100$ is equivalent to $9.92$ , which is the result of $0.8 \times 12.4$ . Now, let's match this with the given options. The correct expression that matches this result is $8 \times 124 \div 100$ , which is option $(A)$ .