Which of the following are rational number? number 1 Related: NCERT S...
**Rational Numbers**
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. In other words, rational numbers can be written in the form a/b, where a and b are integers and b is not equal to zero.
**Examples of Rational Numbers**
Let's examine the given options and determine which of them are rational numbers.
1. 3/4: This is a rational number since it can be written as a fraction of two integers, where the numerator is 3 and the denominator is 4.
2. -2.5: This is also a rational number as it can be expressed as -5/2. Although the number is written in decimal form, it can still be represented as a fraction of two integers.
3. √2: This is an irrational number. Irrational numbers cannot be expressed as a fraction of two integers. The square root of 2 is a non-repeating and non-terminating decimal.
4. 0.333...: This repeating decimal can be expressed as a fraction. It is equal to 1/3. So, this is a rational number.
5. -7: Whole numbers and integers are also considered as rational numbers. Since -7 is an integer, it is a rational number.
**In Summary**
Based on the given options, the following numbers are rational:
1. 3/4
2. -2.5
3. 0.333...
4. -7
These numbers can all be expressed as fractions of two integers and therefore fall under the category of rational numbers.
Which of the following are rational number? number 1 Related: NCERT S...
The rational number includes all positive numbers and negative numbers and zero that can be written as a ratio ( fraction) of one number over another . whole numbers, integers, fractions, terminating decimals, and repeating decimals are all rational numbers.
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