Question Detail

Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

\begin{aligned} 3\frac{14}{99} \end{aligned}
\begin{aligned} \frac{14}{99} \end{aligned}
\begin{aligned} 3\frac{14}{90} \end{aligned}
\begin{aligned} 3\frac{1400}{99} \end{aligned}

Answer: Option A

Explanation:

when there is bar above a number, we can simplify it by dividing with 9's (equal to the number below bar, in this question 2 digits are below bar)

1. 792.02 + 101.32 - 206.76

676.58
687.58
686.58
586.58

Answer: Option C

2. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

\begin{aligned} 3\frac{14}{99} \end{aligned}
\begin{aligned} \frac{14}{99} \end{aligned}
\begin{aligned} 3\frac{14}{90} \end{aligned}
\begin{aligned} 3\frac{1400}{99} \end{aligned}

Answer: Option A

Explanation:

when there is bar above a number, we can simplify it by dividing with 9's (equal to the number below bar, in this question 2 digits are below bar)

3. Evaluate
\begin{aligned}
\frac{2.39^2 - 1.61^2}{2.39 - 1.61}
\end{aligned}

Answer: Option C

Explanation:

Use following formula to solve it quickly
\begin{aligned}
\frac{a^2-b^2}{a-b}=\frac{(a+b)(a-b)}{(a-b)} = (a+b)
\end{aligned}
= (2.39+1.61) = 4

4. Evaluate 35 / .07

400
500
505
None of above

Answer: Option B

Explanation:

35/.07 = 3500/7 = 500

5. Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}

113
1.13
11.3
113

Answer: Option C

Explanation:

\begin{aligned}
a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
\end{aligned}

\begin{aligned}
= \frac{10.3^3 + 1^3}
{10.3^2 + 1^2 - 10.3 \times 1}
\end{aligned}

\begin{aligned}
= (a+b) = (10.3+1) = 11.3
\end{aligned}

Question Detail

Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

1. 792.02 + 101.32 - 206.76

2. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

3. Evaluate
\begin{aligned}
\frac{2.39^2 - 1.61^2}{2.39 - 1.61}
\end{aligned}

4. Evaluate 35 / .07

5. Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}

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Question Detail

Evaluate \begin{aligned} 3.\overline{14} \end{aligned}

1. 792.02 + 101.32 - 206.76

2. Evaluate \begin{aligned} 3.\overline{14} \end{aligned}

3. Evaluate \begin{aligned} \frac{2.39^2 - 1.61^2}{2.39 - 1.61} \end{aligned}

4. Evaluate 35 / .07

5. Evaluate \begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1} \end{aligned}

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Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

2. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

3. Evaluate
\begin{aligned}
\frac{2.39^2 - 1.61^2}{2.39 - 1.61}
\end{aligned}

5. Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}