| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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associative |
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PEDMAS |
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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 7\( \sqrt{6} \) x 2\( \sqrt{5} \)?
| 9\( \sqrt{30} \) | |
| 14\( \sqrt{30} \) | |
| 9\( \sqrt{5} \) | |
| 14\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{6} \) x 2\( \sqrt{5} \)
(7 x 2)\( \sqrt{6 \times 5} \)
14\( \sqrt{30} \)
Simplify \( \frac{32}{64} \).
| \( \frac{7}{17} \) | |
| \( \frac{4}{11} \) | |
| \( \frac{1}{2} \) | |
| \( \frac{6}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 6 factors [1, 2, 4, 8, 16, 32] making 32 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{32}{64} \) = \( \frac{\frac{32}{32}}{\frac{64}{32}} \) = \( \frac{1}{2} \)
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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none of these is correct |
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a = 7 |
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a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Convert y-5 to remove the negative exponent.
| \( \frac{-1}{-5y} \) | |
| \( \frac{-1}{-5y^{5}} \) | |
| \( \frac{1}{y^5} \) | |
| \( \frac{-1}{y^{-5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.