| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
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.
What is \( \frac{-9a^6}{4a^3} \)?
| -\(\frac{4}{9}\)a9 | |
| -2\(\frac{1}{4}\)a3 | |
| -2\(\frac{1}{4}\)a\(\frac{1}{2}\) | |
| -2\(\frac{1}{4}\)a-3 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-9a^6}{4a^3} \)
\( \frac{-9}{4} \) a(6 - 3)
-2\(\frac{1}{4}\)a3
A triathlon course includes a 200m swim, a 20.7km bike ride, and a 11.9km run. What is the total length of the race course?
| 35.5km | |
| 30.3km | |
| 39.4km | |
| 32.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 20.7km + 11.9km
total distance = 32.8km
What is 5a7 x 6a3?
| 30a10 | |
| 11a7 | |
| 11a3 | |
| 30a4 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
5a7 x 6a3
(5 x 6)a(7 + 3)
30a10
Which of these numbers is a factor of 72?
| 24 | |
| 40 | |
| 54 | |
| 30 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.