What is the reason for statement 3 in this proof?
1 answer:
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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,
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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