Ms.Kovich Rational Numbers Quiz, Thusday 22nd

Rational Number

Any number that can be written as a ration in the form A/B, where a and b are integers and b is not 0. Ex:6 and 0.5 6 can be written as 6/1 0.5 can be written as 1/2

Repeating Decimal

Has a block of one or more digits that repeat indefinitely(meaning it keeps going) Ex:0.33333333333333...

Terminating Decimal

Has a finite number of digits(meaning it stops) Ex:0.5

Turning a repeating decimal into a fraction

~Let x=0.37(repeating).The number 0.37(repeating) has 2 repeating digits, so multiply each side of the equation x=0.37(repeating) by 10 squared, or 100. x=0.37(repeating) 100x=100(0.37(repeating)) 100x=37.37(repeating) [100 times 0.37 is 37.37] ~Because x=0.37(repeating), you can subtract x from one side and 0.37(repeating) from the other. 100x=37.37(repeating) -x -0.37(repeating) _________________________ 99x=37 [37.379(repeating) minus 0.37(repeating) is 37.] ~Now solve the equation for x.Simplify if necessary. 99x/99=37/99 [Divide both sides of the equation by 99. x=37/99