Rational/Irrational
Powers and Exponents
Mult./Divide/Powers of Monomials
Scientific Notation
Negative Exponents
100
A number that can be written as a fraction (includes decimals that repeat or end).
What is a rational number?
100
In the example 32, which number is the base?
3
100
Simplify: (3x)(x2)
3x3
100
Write 3•102 in standard form.
300
100
Write as a positive exponent: 4–3
1/43
200
A number that cannot be written as a fraction (such as square roots of non-perfect squares or decimals that do not repeat or end).
What is an irrational number?
200
In the example 46, 4 is being multiplied by itself how many times?
6
200
Simplify: x5/x3
x2
200
Write 4300000 in scientific notation.
4.3•106
200
Write as a negative exponent: 1/57
5–7
300
These numbers include the negative numbers, 0, and the positive numbers (... –3, –2, –1, 0, 1, 2, 3, ...).
What is an integer?
300
Simplify. Write using exponents: 3•3•3•3•3•3•3
37
300
Simplify: (2x3y4)(4xy3)
8x4y7
300
Write 2.5•10–5 in standard form.
.000025
300
Write as a positive exponent: (–3)–4
1/(–3)4
400
Which of these numbers is rational? √2 , √10 , √16 , √20
√16
400
Simplify. Write using exponents: x•t•x•y•y•y•x•x•t•t•t
x4t4y3
400
Simplify: (10x5y5) / (5x2y)
2x3y4
400
Which is bigger: 5.6•10–4 or 4.7•10–6?
5.6•10–4
400
Simplify. Write using a positive exponent: x–5/x–2
1/x3
500
List each real number from least to greatest: √4 , 3 , 7/3 , √2
√2 , √4 , 7/3 , 3
500
Any non-zero number to the 0 power is what number? In other words, 30=?
1
500
Simplify (write using exponents): (3x3)3(34x5)2
311x19
500
Which is bigger: 7.8•104 or 7.88•104?
7.88•104
500
Write as a positive exponent: 1/3–5
35
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