| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
What is \( \frac{2}{6} \) ÷ \( \frac{4}{7} \)?
| \(\frac{1}{18}\) | |
| 2\(\frac{1}{3}\) | |
| \(\frac{7}{12}\) | |
| \(\frac{1}{4}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{4}{7} \) = \( \frac{2}{6} \) x \( \frac{7}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{7}{4} \) = \( \frac{2 x 7}{6 x 4} \) = \( \frac{14}{24} \) = \(\frac{7}{12}\)
What is 4a5 - 6a5?
| 10a-10 | |
| -2a5 | |
| 10a25 | |
| 2a-5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
4a5 - 6a5
(4 - 6)a5
-2a5
Which of these numbers is a factor of 20?
| 6 | |
| 1 | |
| 23 | |
| 21 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
|
PEDMAS |
|
commutative |
|
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.
Convert 2,946,000 to scientific notation.
| 29.46 x 105 | |
| 0.295 x 107 | |
| 2.946 x 106 | |
| 2.946 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:
2,946,000 in scientific notation is 2.946 x 106