| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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commutative |
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associative |
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PEDMAS |
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 \( \frac{1}{7} \) x \( \frac{2}{9} \)?
| \(\frac{2}{63}\) | |
| \(\frac{4}{9}\) | |
| \(\frac{8}{81}\) | |
| \(\frac{1}{56}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{7} \) x \( \frac{2}{9} \) = \( \frac{1 x 2}{7 x 9} \) = \( \frac{2}{63} \) = \(\frac{2}{63}\)
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 26 | |
| 32 | |
| 21 | |
| 19 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{45}{100} \) = \( \frac{45 x 20}{100} \) = \( \frac{900}{100} \) = 9 shots
The center makes 35% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{9}{\frac{35}{100}} \) = 9 x \( \frac{100}{35} \) = \( \frac{9 x 100}{35} \) = \( \frac{900}{35} \) = 26 shots
to make the same number of shots as the guard and thus score the same number of points.
Which of these numbers is a factor of 20?
| 21 | |
| 12 | |
| 4 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Damon buys two shirts, each with a regular price of $22, how much will he pay for both shirts?
| $34.10 | |
| $33.00 | |
| $9.90 | |
| $12.10 |
By buying two shirts, Damon will save $22 x \( \frac{45}{100} \) = \( \frac{$22 x 45}{100} \) = \( \frac{$990}{100} \) = $9.90 on the second shirt.
So, his total cost will be
$22.00 + ($22.00 - $9.90)
$22.00 + $12.10
$34.10