Which of the following expressions is equivalent to 4.11 ×0.055 ? Choose 1 answer: (A) 411 ×55 ×(1)/(100) (B) 411 ×55 ×(1)/(1,000) (C) 411 ×55 ×(1)/(10,000) (D) 411 ×55 ×(1)/(100,000)

Problem Understanding: Understand the problem. We need to find an equivalent expression for the multiplication of two decimal numbers, 4.11 and 0.055, in the form of a product of whole numbers and a fraction.Decimal Conversion: Convert the decimal numbers to whole numbers by counting the number of decimal places. 4.11 has two decimal places, and 0.055 has three decimal places. To convert them to whole numbers, we multiply 4.11 by 100 and 0.055 by 1000. 4.11 × 100 = 411 0.055 × 1000 = 55Combining Whole Numbers: Combine the whole numbers with the appropriate fraction. Since we multiplied 4.11 by 100 and 0.055 by 1000, we need to divide the product of the whole numbers by 100 * 1000 to get the original value. 411 × 55 ÷ (100 * 1000)Fraction Simplification: Simplify the fraction. 100 * 1000 = 100,000 So the expression becomes: 411 × 55 ÷ 100,000Expression Writing: Write the expression as a multiplication of whole numbers and a fraction. 411 × 55 × (1/100,000)

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Which of the following expressions is equivalent to
4.11 ×0.055 ?
Choose 1 answer:
(A)
411 ×55 ×(1)/(100)
(B)
411 ×55 ×(1)/(1,000)
(C)
411 ×55 ×(1)/(10,000)
(D)
411 ×55 ×(1)/(100,000)

Which of the following expressions is equivalent to $\newline$ $4.11 \times 0.055$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $411 \times 55 \times \frac{1}{100}$ $\newline$ (B) $411 \times 55 \times \frac{1}{1,000}$ $\newline$ (C) $411 \times 55 \times \frac{1}{10,000}$ $\newline$ (D) $411 \times 55 \times \frac{1}{100,000}$

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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

4.11 \times 0.055

\newline

Choose

1

answer:

\newline

(A)

411 \times 55 \times \frac{1}{100}

\newline

(B)

411 \times 55 \times \frac{1}{1,000}

\newline

(C)

411 \times 55 \times \frac{1}{10,000}

\newline

(D)

411 \times 55 \times \frac{1}{100,000}

Problem Understanding: Understand the problem. $\newline$ We need to find an equivalent expression for the multiplication of two decimal numbers, $4.11$ and $0.055$ , in the form of a product of whole numbers and a fraction.
Decimal Conversion: Convert the decimal numbers to whole numbers by counting the number of decimal places. $\newline$ $4.11$ has two decimal places, and $0.055$ has three decimal places. To convert them to whole numbers, we multiply $4.11$ by $100$ and $0.055$ by $1000$ . $\newline$ $4.11 \times 100 = 411$ $\newline$ $0.055 \times 1000 = 55$
Combining Whole Numbers: Combine the whole numbers with the appropriate fraction. $\newline$ Since we multiplied $4.11$ by $100$ and $0.055$ by $1000$ , we need to divide the product of the whole numbers by $100 \times 1000$ to get the original value. $\newline$ $411 \times 55 \div (100 \times 1000)$
Fraction Simplification: Simplify the fraction. $\newline$ $100 \times 1000 = 100,000$ $\newline$ So the expression becomes: $\newline$ $411 \times 55 \div 100,000$
Expression Writing: Write the expression as a multiplication of whole numbers and a fraction. $411 \times 55 \times \left(\frac{1}{100,000}\right)$