| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
What is \( \frac{18\sqrt{4}}{6\sqrt{2}} \)?
| 3 \( \sqrt{\frac{1}{2}} \) | |
| 3 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{3} \) | |
| 2 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{18\sqrt{4}}{6\sqrt{2}} \)
\( \frac{18}{6} \) \( \sqrt{\frac{4}{2}} \)
3 \( \sqrt{2} \)
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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absolute value |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{1}{8}\) cup, how much more flour is needed?
| 3\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| \(\frac{5}{8}\) cups | |
| 3\(\frac{1}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{25}{8} \) cups
3\(\frac{1}{8}\) cups
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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commutative |
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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.
Convert 4,582,000 to scientific notation.
| 4.582 x 106 | |
| 4.582 x 105 | |
| 45.82 x 105 | |
| 4.582 x 107 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
4,582,000 in scientific notation is 4.582 x 106