| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
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| 2.8 | |
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1
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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associative |
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commutative |
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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.
What is the distance in miles of a trip that takes 9 hours at an average speed of 60 miles per hour?
| 55 miles | |
| 45 miles | |
| 540 miles | |
| 405 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 60mph \times 9h \)
540 miles
Simplify \( \sqrt{8} \)
| 8\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) | |
| 9\( \sqrt{2} \) | |
| 9\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
Convert y-3 to remove the negative exponent.
| \( \frac{3}{y} \) | |
| \( \frac{-1}{y^{-3}} \) | |
| \( \frac{-3}{-y} \) | |
| \( \frac{1}{y^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.