In the decimal expansion of , the digit repeats indefinitely.
0.1653
3 tens 2 ones 8 thousandths =
It is a number with a decimal point. It is not necessarily a decimal number because 24 (no decimal pont) is a decimal number.It is a number with a decimal point. It is not necessarily a decimal number because 24 (no decimal pont) is a decimal number.It is a number with a decimal point. It is not necessarily a decimal number because 24 (no decimal pont) is a decimal number.It is a number with a decimal point. It is not necessarily a decimal number because 24 (no decimal pont) is a decimal number.
0.0053
The decimal expansion of an irrational number is non terminating and non recurring
It is the decimal approximation to the value of the irrational number.
If its a rational number then its decimal equivalent can be expressed as a fraction
No. If the decimal expansion falls into a repeating pattern (however long) then the number is rational. For example, 0.33... is the rational number 1/3. or 0.04142857142857... where the pattern 142857 continues forever is the rational number 29/700.
A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.
Its decimal "expansion" is 30, as in the question. You could express it as 30.000... except that doing so would imply a greater degree of precision.
If there is a decimal placed somewhere within the number, such as .3568 could be rounded to .357
No. It must be infinite AND non-recurring.
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
The square root of 357 is 18.89444363 to eight decimal places.
Because if they stopped they could be expressed as a ratio. Suppose the decimal expansion of an irrational stopped after x digit AFTER the decimal point. Now consider the number n, which is the original number, left and right of the decimal, but without the decimal point. This is the nummerator of your ratio. The denominator is 1 followed by x zeros. It is easy to show that this ratio repesents the decimal expansion of the number
8