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Worksheets3E Rational Numbers
Total questions: 10
Worksheet time: 7mins
Define Rational number
A number that can present a good argument.
A number that is not being divided by another number.
A number that can be written in the form
ba where "a" and "b" are integers and "b" is not=0A positive number.
What is a terminating decimal?
number that "will be back"
has no decimal numbers
has a finite number of non-zero digits after the decimal
has repeating numbers after the decimal.
What is a recurring decimal?
When two numbers have the same numbers behind the decimal.
A number whose digits before the decimal are the same as the digits after the decimal.
when two decimal numbers are added together.
a number that repeats the same sequence of digits without stopping.
Prove that 7 is rational by writing it in the form a/b
where "a" and "b" are integers. Do not use parentheses.
(a)
−243
Prove that this is rational by writing it in the form a/b
where "a" and "b" are integers. Do not use parentheses.
(a)
state whether 3/10 will convert to a terminating decimal or a recurring decimal.
terminating
recurring
state whether 5/16 will convert to a terminating decimal or a recurring decimal.
terminating
recurring
Convert 3/25 to a terminating decimal.
(a)
Convert the fraction 4/11 to a recurring decimal.
0.36
4.11
.411
0.36363636363636363636363636363636363636...
How can you tell if a rational number will be terminating or recurring?
When it is in lowest terms, if the denominator is odd it will be a recurring decimal.
When it is in lowest terms, if the denominator has at least one prime number other than 2 or 5 it will be a recurring decimal.
When it is in lowest terms, if the numerator is even it will be terminating.
When it is in lowest terms, if the numerator and the denominator are both odd it will be terminating.
