| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common factor |
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greatest common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of the following statements about exponents is false?
b1 = b |
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b0 = 1 |
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all of these are false |
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b1 = 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).
What is \( \sqrt{\frac{81}{49}} \)?
| \(\frac{3}{8}\) | |
| 1 | |
| 1\(\frac{2}{7}\) | |
| \(\frac{4}{5}\) |
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:
\( \sqrt{\frac{81}{49}} \)
\( \frac{\sqrt{81}}{\sqrt{49}} \)
\( \frac{\sqrt{9^2}}{\sqrt{7^2}} \)
\( \frac{9}{7} \)
1\(\frac{2}{7}\)
What is 8\( \sqrt{2} \) x 4\( \sqrt{7} \)?
| 12\( \sqrt{14} \) | |
| 32\( \sqrt{14} \) | |
| 32\( \sqrt{7} \) | |
| 32\( \sqrt{9} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{2} \) x 4\( \sqrt{7} \)
(8 x 4)\( \sqrt{2 \times 7} \)
32\( \sqrt{14} \)
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
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a = 7 |
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a = 7 or a = -7 |
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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).