Flashcards in Arithmetic Deck (26):

1

## Integer

### Any whole number, not a fraction or decimal. -1200, -43, 0, 1, 1143

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## Even integer

### Any integer that gives you another integer when divided by 2.

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## Odd integer

### Any integer that gives a noninteger when divided by 2.

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## Real number

### Any number in the number line.

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## Divisor or Factor

### For an integer N, a divisor is a positive integer that can divide into N without creating a remainder. 1, 2, 3, 4, 6 and 12 are divisor of 12. Factors are always positive.

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## Multiple

### A multiple of integer N results by multiplying N with another integer. -7, 0, 7, 140 are multiples of 7.

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## Prime number

### Integer only divisible by itself and 1. 2, 3, 5, 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

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## Proper fraction

### Numerator < Denominator

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## Improper fraction

### Numerator > Denominator

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## Mixed Number

### When whole number and fraction are combined : 2(1/2), 3(3/4)

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## Divisibility by 2

### Number is even

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## Divisibility by 3

### Sum of the digits is divisible by 3.

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## Divisibility by 4

### The last 2 digits represent a number that is divisible by 4.

14

## Divisibility by 5

### Last digit is a 0 or a 5.

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## Divisibility by 7

### Take the last digit, double it, and substract it to the rest of the digits. If the result is divisible by 7, the original number is. Ex : 1050. 0×2=0, 105-0=105, 105=7×15

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## Divisibility by 10

### Last number is 0

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## Divisibility by 11

### Take difference between sums or alternate digits. If results divisible by 11, original number is. Ex : 4862. 4+6=10, 8+2=10, 10-10=0 which is divisible by 1. 4862=11×442

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## Divisibility by 25

### Last two digits divisible by 25.

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## Greatest Common Factor (GCF)

### Largest number that divides evenly into each of the given numbers. Look at the prime factors to find it. Ex : 42=2×3×7, 70=2×5×7. GCF of 42 and 70 is 2×7=14

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## Least Common Multiple (LCM)

### Smallest nonzero number, multiple of 2 or more given numbers. Make sure that the LCM includes the required Prime for each numbers. Ex : 42=2×3×7, 56=2×2×2×7. LCM of 42 and 56 is 2×2×2×3×7=168

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## Even and Odd integers - Sum and difference

### E +/- E = E --- E +/- O = O --- O +/- O = E

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## Even and Odd integers - Product

### E × E = E --- O × O = O --- E × O = E

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## Positive and Negative - Product

### (+) × (+) = (+) --- (-) × (-) = (+) --- (+) × (-) = (-)

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## Units digits - Example 6.797×13.473 ?

### Numbers properties : multiply the last digits and take the digit of the result. Ex: 7×3=21 so 1 will be the digit of the final number.

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## Percent Change formule

### PC = ( (FV - PV) ÷ PV ) × 100, with FV and PV Future and Present Values

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