| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
Convert a-4 to remove the negative exponent.
| \( \frac{1}{a^4} \) | |
| \( \frac{-1}{-4a} \) | |
| \( \frac{-4}{a} \) | |
| \( \frac{-1}{-4a^{4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
integer |
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mixed number |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({2 \over 5} \) |
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\({a \over 5} \) |
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\(1 {2 \over 5} \) |
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.
Ezra loaned Charlie $800 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $42 | |
| $112 | |
| $24 | |
| $3 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $800
i = 0.03 x $800
i = $24
What is \( \frac{1}{6} \) x \( \frac{2}{5} \)?
| \(\frac{1}{9}\) | |
| \(\frac{1}{15}\) | |
| \(\frac{1}{30}\) | |
| \(\frac{6}{35}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{2}{5} \) = \( \frac{1 x 2}{6 x 5} \) = \( \frac{2}{30} \) = \(\frac{1}{15}\)