| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
| 4.5 | |
| 0.4 | |
| 1 | |
| 4.9 |
1
Find the average of the following numbers: 10, 8, 10, 8.
| 5 | |
| 13 | |
| 9 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 8 + 10 + 8}{4} \) = \( \frac{36}{4} \) = 9
What is \( \sqrt{\frac{9}{64}} \)?
| \(\frac{3}{8}\) | |
| 1\(\frac{2}{7}\) | |
| \(\frac{6}{7}\) | |
| \(\frac{1}{2}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)
Convert b-3 to remove the negative exponent.
| \( \frac{1}{b^3} \) | |
| \( \frac{-1}{-3b} \) | |
| \( \frac{-1}{-3b^{3}} \) | |
| \( \frac{1}{b^{-3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.