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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.
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.
Solve 4 + (5 + 4) ÷ 5 x 5 - 42
| \(\frac{1}{4}\) | |
| 1\(\frac{1}{2}\) | |
| -3 | |
| 1 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (5 + 4) ÷ 5 x 5 - 42
P: 4 + (9) ÷ 5 x 5 - 42
E: 4 + 9 ÷ 5 x 5 - 16
MD: 4 + \( \frac{9}{5} \) x 5 - 16
MD: 4 + \( \frac{45}{5} \) - 16
AS: \( \frac{20}{5} \) + \( \frac{45}{5} \) - 16
AS: \( \frac{65}{5} \) - 16
AS: \( \frac{65 - 80}{5} \)
\( \frac{-15}{5} \)
-3
Which of the following statements about exponents is false?
b1 = 1 |
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b0 = 1 |
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b1 = b |
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all of these are false |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Find the average of the following numbers: 11, 5, 11, 5.
| 5 | |
| 12 | |
| 9 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 5 + 11 + 5}{4} \) = \( \frac{32}{4} \) = 8
What is \( \frac{4}{9} \) x \( \frac{3}{9} \)?
| \(\frac{4}{27}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{2}{9}\) | |
| 1\(\frac{1}{3}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{3}{9} \) = \( \frac{4 x 3}{9 x 9} \) = \( \frac{12}{81} \) = \(\frac{4}{27}\)