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Any number that can be expressed as a fraction.
Rational Number
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Any positive or negative nonrepeating or nonterminating decimal that cannot be written as a fraction.
Irrational
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Rational or Irrational?
1.0005
Rational
-
Rational or Irrational?
-2/5
Rational
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Rational or Irrational?
Square root of 34
- Irrational.
- The square root of 34 is not a perfect square.
-
Rational or Irrational?
3.14259....
- Irrational
- Does not repeat or terminate
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Rewrite using exponents
11 x 11 x 11 x 11 x 11 =
115
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Express with an exponent.
16
24 or 42
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Add or subtract.
2x2 + 5x2=
7x2
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Add or subtract.
-k + 2k =
k
-
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(23)2=
- 23x2 = 26If a power is raised to another power, multiply the exponents together and keep the base the same.
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24 x 25 =
- 24+5 = 29To multiply two expressions with the same base, add the exponents together and keep the base the same.
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(4a)2 =
- 42a2 = 16a2If a product in parentheses is raised to a power, then each factor is raised to the power when parentheses are eliminated.
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What number makes the statment true?
x5x? = x11
x6
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What number makes the statement true?
(y?)2 = y-8
y-4
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Reduce the expression to simplest form.
5x-4 =
- 5/x4
- Negative exponent indicate reciprocals, not negative numbers. Take the x value in the numerator, which has a negative expnent, to the denominator and change the sign.
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(5a)-2 =
5-2a-2 = 1/52a2 = 1/25a2
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