Which decimal is equivalent to (31)/(9) ? Choose 1 answer: (A) 0. bar(4) (B) 0.4444 (c) 3. bar(4) (D) 3.4444

Divide by 9: Divide 31 by 9 to find the decimal equivalent. 31 ÷ 9 = 3 remainder 4Find Decimal Part: Since there is a remainder, we need to continue the division to find the decimal part. The remainder 4 becomes 40 when we add a decimal point and a zero to continue the division. 40 ÷ 9 = 4 with a remainder of 4.Identify Repeating Decimal: Notice that the remainder is repeating. We will get the same remainder of 4 every time we bring down a zero, which means the digit 4 will repeat indefinitely in the decimal part. This gives us a repeating decimal of 3.4444..., which can be written as 3. bar(4).

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Which decimal is equivalent to
(31)/(9) ?
Choose 1 answer:
(A)
0. bar(4)
(B) 0.4444
(c)
3. bar(4)
(D) 3.4444

Which decimal is equivalent to $\frac{31}{9}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $0 . \overline{4}$ $\newline$ (B) $0$ . $4444$ $\newline$ (C) $3 . \overline{4}$ $\newline$ (D) $3$ . $4444$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which decimal is equivalent to

\frac{31}{9}

\newline

Choose

1

answer:

\newline

(A)

0 . \overline{4}

\newline

(B)

0

4444

\newline

(C)

3 . \overline{4}

\newline

(D)

3

4444

Divide by $9$ : Divide $31$ by $9$ to find the decimal equivalent. $\newline$ $31 \div 9 = 3$ remainder $4$
Find Decimal Part: Since there is a remainder, we need to continue the division to find the decimal part. $\newline$ The remainder $4$ becomes $40$ when we add a decimal point and a zero to continue the division. $\newline$ $40 \div 9 = 4$ with a remainder of $4$ .
Identify Repeating Decimal: Notice that the remainder is repeating. We will get the same remainder of $4$ every time we bring down a zero, which means the digit $4$ will repeat indefinitely in the decimal part. $\newline$ This gives us a repeating decimal of $3.4444...$ , which can be written as $3.\overline{4}$ .