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This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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PEDMAS |
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distributive |
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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.
Solve 2 + (4 + 4) ÷ 5 x 5 - 22
| \(\frac{2}{3}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{1}{2}\) | |
| 6 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (4 + 4) ÷ 5 x 5 - 22
P: 2 + (8) ÷ 5 x 5 - 22
E: 2 + 8 ÷ 5 x 5 - 4
MD: 2 + \( \frac{8}{5} \) x 5 - 4
MD: 2 + \( \frac{40}{5} \) - 4
AS: \( \frac{10}{5} \) + \( \frac{40}{5} \) - 4
AS: \( \frac{50}{5} \) - 4
AS: \( \frac{50 - 20}{5} \)
\( \frac{30}{5} \)
6
Convert 1,003,000 to scientific notation.
| 1.003 x 105 | |
| 0.1 x 107 | |
| 1.003 x 106 | |
| 10.03 x 105 |
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:
1,003,000 in scientific notation is 1.003 x 106
Which of the following is not a prime number?
7 |
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5 |
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9 |
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2 |
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.
A triathlon course includes a 500m swim, a 50.2km bike ride, and a 5.1km run. What is the total length of the race course?
| 50.5km | |
| 52.2km | |
| 59.6km | |
| 55.8km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 50.2km + 5.1km
total distance = 55.8km