| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
Simplify \( \frac{16}{44} \).
| \( \frac{1}{3} \) | |
| \( \frac{9}{16} \) | |
| \( \frac{4}{11} \) | |
| \( \frac{10}{13} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{44} \) = \( \frac{\frac{16}{4}}{\frac{44}{4}} \) = \( \frac{4}{11} \)
Convert y-5 to remove the negative exponent.
| \( \frac{-1}{y^{-5}} \) | |
| \( \frac{1}{y^5} \) | |
| \( \frac{5}{y} \) | |
| \( \frac{-1}{-5y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following is not a prime number?
9 |
|
7 |
|
2 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
What is 5\( \sqrt{5} \) x 9\( \sqrt{7} \)?
| 45\( \sqrt{35} \) | |
| 45\( \sqrt{5} \) | |
| 14\( \sqrt{35} \) | |
| 45\( \sqrt{12} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{5} \) x 9\( \sqrt{7} \)
(5 x 9)\( \sqrt{5 \times 7} \)
45\( \sqrt{35} \)