Which decimal is equivalent to (1)/(3) ? Choose 1 answer: (A) 0. bar(13) (B) 0. bar(3) (c) 1. bar(3) (D) 3. bar(3)

Understand repeating decimals: Understand the concept of repeating decimals. A repeating decimal is a decimal number that has a digit or a group of digits that repeat infinitely. The bar notation (like bar(3)) indicates that the digit under the bar repeats without end. Convert fraction to decimal: Convert the fraction (1)/(3) to a decimal. To convert a fraction to a decimal, we divide the numerator by the denominator. So we divide 1 by 3. Perform division: Perform the division 1 ÷ 3. When we divide 1 by 3, we get 0.3333..., with the 3 repeating infinitely. Express using bar notation: Express the repeating decimal using bar notation. Since the digit 3 repeats infinitely, we use the bar notation over the 3 to indicate this repetition. Therefore, 1/3 is equivalent to 0. bar(3).

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Which decimal is equivalent to
(1)/(3) ?
Choose 1 answer:
(A)
0. bar(13)
(B)
0. bar(3)
(c)
1. bar(3)
(D)
3. bar(3)

Which decimal is equivalent to $\frac{1}{3}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $0 . \overline{13}$ $\newline$ (B) $0 . \overline{3}$ $\newline$ (C) $1 . \overline{3}$ $\newline$ (D) $3 . \overline{3}$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which decimal is equivalent to

\frac{1}{3}

\newline

Choose

1

answer:

\newline

(A)

0 . \overline{13}

\newline

(B)

0 . \overline{3}

\newline

(C)

1 . \overline{3}

\newline

(D)

3 . \overline{3}

Understand repeating decimals: Understand the concept of repeating decimals. A repeating decimal is a decimal number that has a digit or a group of digits that repeat infinitely. The bar notation (like $\overline{3}$ ) indicates that the digit under the bar repeats without end.
Convert fraction to decimal: Convert the fraction $(1)/(3)$ to a decimal. $\newline$ To convert a fraction to a decimal, we divide the numerator by the denominator. So we divide $1$ by $3$ .
Perform division: Perform the division $1 \div 3$ . $\newline$ When we divide $1$ by $3$ , we get $0.3333\ldots$ , with the $3$ repeating infinitely.
Express using bar notation: Express the repeating decimal using bar notation. $\newline$ Since the digit $3$ repeats infinitely, we use the bar notation over the $3$ to indicate this repetition. Therefore, $\frac{1}{3}$ is equivalent to $0.\overline{3}$ .