| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
Which of the following is a mixed number?
\({7 \over 5} \) |
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\({a \over 5} \) |
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\(1 {2 \over 5} \) |
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\({5 \over 7} \) |
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.
How many 1 gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 5 | |
| 10 | |
| 9 | |
| 8 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{5 \text{ gallons}}{1 \text{ gallons}} \) = 5
4! = ?
4 x 3 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Alex buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $47.30 | |
| $83.85 | |
| $2.15 | |
| $51.60 |
By buying two shirts, Alex will save $43 x \( \frac{5}{100} \) = \( \frac{$43 x 5}{100} \) = \( \frac{$215}{100} \) = $2.15 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $2.15)
$43.00 + $40.85
$83.85
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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PEDMAS |
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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.