| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
What is \( \frac{5}{8} \) - \( \frac{2}{10} \)?
| \( \frac{8}{40} \) | |
| 1 \( \frac{3}{9} \) | |
| 1 \( \frac{6}{15} \) | |
| \(\frac{17}{40}\) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 5}{8 x 5} \) - \( \frac{2 x 4}{10 x 4} \)
\( \frac{25}{40} \) - \( \frac{8}{40} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{25 - 8}{40} \) = \( \frac{17}{40} \) = \(\frac{17}{40}\)
Find the average of the following numbers: 15, 13, 18, 10.
| 10 | |
| 14 | |
| 13 | |
| 16 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 13 + 18 + 10}{4} \) = \( \frac{56}{4} \) = 14
Which of the following is not a prime number?
5 |
|
9 |
|
2 |
|
7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is \( \frac{8\sqrt{9}}{4\sqrt{3}} \)?
| \(\frac{1}{2}\) \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{3}} \) | |
| 2 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{8\sqrt{9}}{4\sqrt{3}} \)
\( \frac{8}{4} \) \( \sqrt{\frac{9}{3}} \)
2 \( \sqrt{3} \)
What is (x3)3?
| x6 | |
| x0 | |
| 3x3 | |
| x9 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x3)3