Number Theory: real numbers system, exponents, scientific notation, properties
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Real Numbers | all the numbers we use every day
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| Rational Numbers | any number that can be written as a fraction (ratio); any decimal that terminates (ends) or repeats
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| Integers | whole numbers (0, 1, 2, 3, 4, ...) and their opposites (-1, -2, -3, ...)
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| Whole Numbers | 0, 1, 2, 3, 4, ...
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| Natural Numbers | 1, 2, 3, 4, 5, ...
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| Irrational Numbers | decimals that are non-terminating and non-repeating; non-perfect squares, pi
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| How do I handle a negative exponent? | flip the base over the fraction bar and change the exponent sign to positive
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| What is the base of an exponent? | the large number written on the line; the number that gets multiplied by itself
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| What is the power of an exponent? | the little number that is written next to the base; it means how many times the base is multiplied by itself
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| What is a radical sign? | the symbol that means square root
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| Perfect Square | the number you get when you square a whole number (ex. 10 squared = 100; 100 is a perfect square)
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| Scientific Notation | the method of writing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10
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| Standard Notation | our normal way of writing numbers
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| Commutative Property of Addition | a + b = b + a;
3 + 4 = 4 + 3
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| Commutative Property of Multiplication | a * b = b * a;
5 * 6 = 6 * 5
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| Associative Property of Addition | a + (b + c) = (a + b) + c
1 + (2 + 3) = (1 + 2) + 3
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| Associative Property of Multiplication | (a * b) * c = a * (b * c)
(4 * 5) * 6 = 4 * (5 * 6)
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| Distributive Property | a(b + c) = a*b + a*c
2(3 + 4) = 2*3 + 2*4
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| Additive Identity Property | a + 0 = a;
9 + 0 = 9
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| Multiplicative Identity Property | a * 1 = a;
9 * 1 = 9
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| Additive Inverse Property | a + (-a) = 0;
4 + (-4) = 0
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| Multiplicative Inverse Property | a * 1/a = 1;
3 * 1/3 = 1
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| Multiplication of Zero Property | a * 0 = 0;
7 * 0 = 0
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Created by:
MrsCMath7
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