| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Roger buys two shirts, each with a regular price of $42, how much money will he save?
| $10.50 | |
| $4.20 | |
| $6.30 | |
| $8.40 |
By buying two shirts, Roger will save $42 x \( \frac{20}{100} \) = \( \frac{$42 x 20}{100} \) = \( \frac{$840}{100} \) = $8.40 on the second shirt.
Solve for \( \frac{6!}{4!} \)
| \( \frac{1}{42} \) | |
| 120 | |
| 4 | |
| 30 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{4!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{6 \times 5}{1} \)
\( 6 \times 5 \)
30
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
|
distributive |
|
PEDMAS |
|
commutative |
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 \( \frac{2}{7} \) x \( \frac{1}{8} \)?
| \(\frac{4}{45}\) | |
| \(\frac{1}{4}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{1}{28}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{1}{8} \) = \( \frac{2 x 1}{7 x 8} \) = \( \frac{2}{56} \) = \(\frac{1}{28}\)
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
|
distributive property for multiplication |
|
distributive property for division |
|
commutative property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.