Question

Without performing the long division, show the following rational numbers have a terminating decimal expansion. Also write their decimal expansion (I) 3/8 (2) 7/80 Pls answer fast because I need to submit

Answer 1

Answer:

Step-by-step explanation:

Before going into a representation of the decimal expansion of rational numbers, let us understand what rational numbers are. Any number that can be represented in the form of p/q, such that p and q are integers and q ≠ 0 are known as rational numbers. So when these numbers have been simplified further, they result in decimals. Let us learn here how to expand such decimals.

Examples: 6,−8.1,45 etc. are all examples of rational numbers.

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Answer 2

3/8
3/2^2
Hence it will have terminating and non repeating decimal expansion as when denominator have only 2 or 5 as it’s factorization it has terminating decimal expansion
7/80
7/2^4*5
It will also have terminating and non repeating decmianl expansion
Same reason
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