| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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distributive |
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commutative |
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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.
What is \( \frac{3}{9} \) ÷ \( \frac{1}{8} \)?
| \(\frac{1}{18}\) | |
| 2\(\frac{2}{3}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{2}{63}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{9} \) ÷ \( \frac{1}{8} \) = \( \frac{3}{9} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{8}{1} \) = \( \frac{3 x 8}{9 x 1} \) = \( \frac{24}{9} \) = 2\(\frac{2}{3}\)
| 1.2 | |
| 1.5 | |
| 8.1 | |
| 1 |
1
In a class of 25 students, 12 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 17 | |
| 18 | |
| 22 | |
| 9 |
The number of students taking German or Spanish is 12 + 10 = 22. Of that group of 22, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 6 = 16 who are taking at least one language. 25 - 16 = 9 students who are not taking either language.
If there were a total of 150 raffle tickets sold and you bought 10 tickets, what's the probability that you'll win the raffle?
| 18% | |
| 7% | |
| 9% | |
| 4% |
You have 10 out of the total of 150 raffle tickets sold so you have a (\( \frac{10}{150} \)) x 100 = \( \frac{10 \times 100}{150} \) = \( \frac{1000}{150} \) = 7% chance to win the raffle.