| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
What is \( \frac{1b^6}{7b^2} \)?
| \(\frac{1}{7}\)b4 | |
| \(\frac{1}{7}\)b12 | |
| 7b-4 | |
| \(\frac{1}{7}\)b-4 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{b^6}{7b^2} \)
\( \frac{1}{7} \) b(6 - 2)
\(\frac{1}{7}\)b4
Which of these numbers is a factor of 36?
| 36 | |
| 2 | |
| 31 | |
| 34 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
What is \( \frac{1}{6} \) x \( \frac{1}{8} \)?
| \(\frac{4}{45}\) | |
| \(\frac{1}{48}\) | |
| \(\frac{1}{6}\) | |
| \(\frac{1}{14}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{1}{8} \) = \( \frac{1 x 1}{6 x 8} \) = \( \frac{1}{48} \) = \(\frac{1}{48}\)
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
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\({a \over 5} \) |
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\({2 \over 5} \) |
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.