| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
What is \( \frac{1}{7} \) x \( \frac{4}{7} \)?
| \(\frac{2}{21}\) | |
| \(\frac{4}{63}\) | |
| \(\frac{8}{21}\) | |
| \(\frac{4}{49}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{7} \) x \( \frac{4}{7} \) = \( \frac{1 x 4}{7 x 7} \) = \( \frac{4}{49} \) = \(\frac{4}{49}\)
What is \( \frac{2}{6} \) ÷ \( \frac{2}{7} \)?
| 1\(\frac{1}{6}\) | |
| \(\frac{1}{10}\) | |
| \(\frac{3}{56}\) | |
| 7 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{2}{7} \) = \( \frac{2}{6} \) x \( \frac{7}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{7}{2} \) = \( \frac{2 x 7}{6 x 2} \) = \( \frac{14}{12} \) = 1\(\frac{1}{6}\)
What is 5z2 - 7z2?
| -2z2 | |
| -2z-2 | |
| 2z2 | |
| 12z2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
5z2 - 7z2
(5 - 7)z2
-2z2
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
PEDMAS |
|
distributive |
|
associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
If a mayor is elected with 85% of the votes cast and 71% of a town's 31,000 voters cast a vote, how many votes did the mayor receive?
| 13,426 | |
| 14,967 | |
| 18,709 | |
| 16,728 |
If 71% of the town's 31,000 voters cast ballots the number of votes cast is:
(\( \frac{71}{100} \)) x 31,000 = \( \frac{2,201,000}{100} \) = 22,010
The mayor got 85% of the votes cast which is:
(\( \frac{85}{100} \)) x 22,010 = \( \frac{1,870,850}{100} \) = 18,709 votes.