Question

The decimal 0.238 is equal to the fraction
A) $\dfrac{119}{500}$
B) $\dfrac{238}{25}$

Answer 1

Hint:
Decimals are based on the preceding powers of 10. Thus, as we move from left to right, the place value of digits gets divided by 10, meaning the decimal place value determines the tenths, hundredths and thousandths. A tenth means one tenth or $1 / 10 .$ In decimal form, it is 0.1. Hundredth means $1 / 100 .$ In decimal form, it is 0.01. Tenths, hundredths, and thousandths can be represented on a number line. To represent tenths, the distance between each whole number on a number line is partitioned into 10 equal parts where each part represents a tenth.

Complete step by step solution:
In algebra, a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
It is given that: 0.238
$\Rightarrow \dfrac{238}{1000}=\dfrac{238 \div 2}{1000 \div 2}$
$=\dfrac{119}{500}$
Thus, required option $\dfrac{119}{500}$

Option A is correct.

Note:
We use decimals everyday while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale. Decimal, also called Hindu-Arabic, or Arabic, number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It also requires a dot (decimal point) to represent decimal fractions.
For example, Binary, Octal, Decimal and Hexadecimal Number systems are used in microprocessor programming. If the Base value of a number system is 10, then it is called the Decimal number system which has the most important role in the development of science and technology.