Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.39 |
Score | 0% | 68% |
Which of these numbers is a factor of 40?
6 | |
20 | |
26 | |
42 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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integer |
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mixed number |
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.
What is \( \frac{-9z^8}{4z^3} \)?
-\(\frac{4}{9}\)z-5 | |
-2\(\frac{1}{4}\)z5 | |
-2\(\frac{1}{4}\)z24 | |
-2\(\frac{1}{4}\)z\(\frac{3}{8}\) |
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:
\( \frac{-9z^8}{4z^3} \)
\( \frac{-9}{4} \) z(8 - 3)
-2\(\frac{1}{4}\)z5
A bread recipe calls for 2\(\frac{3}{4}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
1\(\frac{7}{8}\) cups | |
1\(\frac{1}{2}\) cups | |
2\(\frac{3}{8}\) cups | |
1\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{3}{4}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{22}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups
Convert b-4 to remove the negative exponent.
\( \frac{-4}{b} \) | |
\( \frac{1}{b^{-4}} \) | |
\( \frac{-1}{b^{-4}} \) | |
\( \frac{1}{b^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.