| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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associative |
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PEDMAS |
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distributive |
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.
A tiger in a zoo has consumed 44 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 99 pounds?
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If the tiger has consumed 44 pounds of food in 4 days that's \( \frac{44}{4} \) = 11 pounds of food per day. The tiger needs to consume 99 - 44 = 55 more pounds of food to reach 99 pounds total. At 11 pounds of food per day that's \( \frac{55}{11} \) = 5 more days.
14 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
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There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 14 people needing transportation leaving 14 - 12 = 2 who will have to find other transportation.
Which of the following is an improper fraction?
\({a \over 5} \) |
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\(1 {2 \over 5} \) |
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\({7 \over 5} \) |
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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.
What is \( \frac{1}{6} \) ÷ \( \frac{2}{5} \)?
| \(\frac{1}{10}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{5}{12}\) | |
| \(\frac{5}{6}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{6} \) ÷ \( \frac{2}{5} \) = \( \frac{1}{6} \) x \( \frac{5}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{5}{2} \) = \( \frac{1 x 5}{6 x 2} \) = \( \frac{5}{12} \) = \(\frac{5}{12}\)