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9 Cards in this Set
- Front
- Back
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What is an integer?
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An integer is a number that is neither a fraction nor a decimal. Think of integers as counting numbers that you see on a number line. Zero is also an integer
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What is a digit?
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There are only 10 digits (0 through 9), from which we make an infinite number of numbers. For example, 305 is a three-digit number. 3 is the hundreds digit, 0 is the tens digit, and 5 is the ones or units digit.
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What is a factor?
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If one number divides evenly into another, then the first number is a factor of the second. For example, 3 is a factor of 12. The pairs of numbers whose product is 12 are: 1 x 12, 2 x 6, 3 x 4. Therefore, the factors of 12 are: {1,2,3,4,6, and 12}.
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What is a multiple?
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A multiple of a number is the product of that number and any other whole number.
The multiples of 12 are: {12, 24, 36, 48, 60...} |
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How do you know if number x is divisible by number y?
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If number x is divisible by number y , number y goes into number x evenly.
Therefore, all multiples are divisible by their factors. For example, 12 is divisible by 6. |
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What is a remainder?
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If a number is not divisible by another, there will be a remainder left over.
For example, if you divide 26 by 7, there is a remainder of 5 |
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What is a prime number?
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Prime numbers are divisible by only themselves and 1. By definition, 1 is NOT prime. Also, only positive numbers are prime.
The smallest prime number (and the only even prime number) is 2. |
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What are consecutive integers?
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Consecutive simply means in order by either increasing or decreasing size.
A set of consecutive integers might look like this: {-3,-2,-1,0,1,2...} A set of consecutive even integers might look like this: {-4,-2,0,2,4,6...} A set of consecutive multiples of 3 might look like this: {-9,-6,-3,0,3,6...} |
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What does distinct mean?
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Distinct is just a mathematical term for 'different'. If a question stipulates that a and b are distinct integers, they can't have the same value. For example, the distinct prime factors of 72 are 2 and 3 because you only want to count one 2 and one 3.
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