Similarities Of Non Terminating Decimal And Terminating Decimal

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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