similarities of non terminating decimal and terminating decimal
Answer:
Non-terminating decimals and terminating decimals are both types of decimal representations for numbers. However, they differ in terms of their patterns and the way they are written.
Similarities between non-terminating decimals and terminating decimals include:
1. Decimal representation: Both non-terminating and terminating decimals are ways to represent real numbers in decimal form.
2. Decimal point: Both non-terminating and terminating decimals contain a decimal point, which separates the whole number part from the fractional part.
3. Place value: Both non-terminating and terminating decimals follow the same place value system, with each digit’s value depending on its position relative to the decimal point.
4. Mathematical operations: Non-terminating and terminating decimals can be subjected to mathematical operations such as addition, subtraction, multiplication, and division.
5. Equivalent fractions: Both non-terminating and terminating decimals can be expressed as equivalent fractions. For example, the terminating decimal 0.5 is equivalent to the fraction 1/2, and the non-terminating decimal 0.333… is equivalent to the fraction 1/3.
It’s important to note that the key distinction between non-terminating and terminating decimals lies in their patterns. Terminating decimals have a finite number of digits after the decimal point, whereas non-terminating decimals have an infinite number of digits after the decimal point, typically displaying a repeating pattern or an irrational number.
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