| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
Which of the following statements about exponents is false?
all of these are false |
|
b1 = b |
|
b1 = 1 |
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b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
PEDMAS |
|
distributive |
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associative |
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.
Christine scored 81% on her final exam. If each question was worth 4 points and there were 320 possible points on the exam, how many questions did Christine answer correctly?
| 58 | |
| 78 | |
| 65 | |
| 62 |
Christine scored 81% on the test meaning she earned 81% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.81 = 260 points. Each question is worth 4 points so she got \( \frac{260}{4} \) = 65 questions right.
What is \( \sqrt{\frac{49}{81}} \)?
| \(\frac{7}{9}\) | |
| \(\frac{7}{8}\) | |
| 4\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{49}{81}} \)
\( \frac{\sqrt{49}}{\sqrt{81}} \)
\( \frac{\sqrt{7^2}}{\sqrt{9^2}} \)
\(\frac{7}{9}\)
Solve for \( \frac{2!}{5!} \)
| 8 | |
| \( \frac{1}{4} \) | |
| \( \frac{1}{60} \) | |
| 840 |
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:
\( \frac{2!}{5!} \)
\( \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4 \times 3} \)
\( \frac{1}{60} \)