Numerals And Quantifiers Questions Long
To express fractions and decimals in numerals, we use specific symbols and conventions.
1. Fractions:
- Numerator and Denominator: A fraction consists of two numbers separated by a horizontal line. The number above the line is called the numerator, and the number below the line is called the denominator. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
- Division: Fractions can also be expressed using division. For example, 3/4 can be written as 3 ÷ 4.
- Decimal Equivalent: Fractions can be converted to decimals by dividing the numerator by the denominator. For example, 3/4 is equal to 0.75 in decimal form.
2. Decimals:
- Decimal Point: Decimals use a decimal point to separate the whole number part from the fractional part. For example, in the decimal 3.14, 3 is the whole number part, and 14 is the fractional part.
- Place Value: Each digit after the decimal point represents a specific place value. The first digit after the decimal point represents tenths, the second digit represents hundredths, the third digit represents thousandths, and so on. For example, in the decimal 0.25, 2 represents tenths, and 5 represents hundredths.
- Fractional Equivalent: Decimals can be converted to fractions by identifying the place value of the last digit and expressing it as a fraction over the corresponding power of 10. For example, 0.25 is equal to 25/100, which can be simplified to 1/4.
It is important to note that fractions and decimals are different ways of representing the same value. They can be interchanged depending on the context and the desired level of precision.