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A number that connot be expressed as a ratio of two integers or as a repeating or terminating decimal?
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What are the irrational numbers?
Irrational numbers are numbers that cannot be expressed as a ratio of two integers or as a repeating or terminating decimal.
Is the statement A terminating decimal cannot be expressed as a repeating decimal false?
Yes. 5.0 (a terminating decimal) can be expressed as 4.9999... (a repeating decimal) That may be hard to believe but it is true, as proved by Georg Cantor.
When expressed as a decimals rational number will be what or repeating?
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
Who of the following cannot be written as a fraction an integer a terminating decimal a repeating decimal and a non-terminating non repeating decimal?
The latter which would be an irrational number that cannot be expressed as a fraction.
Why are rational numbers terminating or repeating decimal?
Because terminating or repeating decimals can be written as the quotient of two integers a/b, where b is not equal to zero.
What numbers can be expressed as a terminating or repeating decimal?
Rational numbers can be expressed as a terminating or repeating decimal.
What are the irrational numbers?
Irrational numbers are numbers that cannot be expressed as a ratio of two integers or as a repeating or terminating decimal.
Are all terminating and repeating decimals rational numbers and why?
Yes, they are and that is because any terminating or repeating decimal can be expressed in the form of a ratio, p/q where p and q are integers and q is non-zero.
Is the statement A terminating decimal cannot be expressed as a repeating decimal false?
Yes. 5.0 (a terminating decimal) can be expressed as 4.9999... (a repeating decimal) That may be hard to believe but it is true, as proved by Georg Cantor.
What numbers can be expressed as terminating or repeating decimal?
They are rational numbers
When expressed as a decimals rational number will be what or repeating?
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
How do you determine whether you can write a given decimal as a fraction?
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
What is a number that cannot be expressed as a repeating or terminating decimal?
An irrational number.
Who of the following cannot be written as a fraction an integer a terminating decimal a repeating decimal and a non-terminating non repeating decimal?
The latter which would be an irrational number that cannot be expressed as a fraction.
Why are rational numbers terminating or repeating decimal?
Because terminating or repeating decimals can be written as the quotient of two integers a/b, where b is not equal to zero.
Does the sum of a repeating decimal and a terminating decimal equal a terminating decimal?
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
What can rational numbers be expressed as?
fractions or decimals
