The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.
Step-by-step explanation:
1. The decimal forms of some real numbers, like( ), terminate
A number is terminating if it has decimal with finite number
So,
as decimal stops after 4 digits so it is terminating.
2. the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.
A number that do not terminate, but have a repeating pattern.
So, ![4 \frac{2}{11} =\frac{44}{11}=4.1818181](https://tex.z-dn.net/?f=4%20%5Cfrac%7B2%7D%7B11%7D%20%3D%5Cfrac%7B44%7D%7B11%7D%3D4.1818181)
3. have decimal forms that neither terminate nor repeat
5^2 = 25 it neither terminates nor repeat
So, answers will be:
The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.
Keywords: Decimals
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