Express 0.143 as a rational number
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0.143 is already a rational number since it can be written as the ratio of two integers, 143 and 1000.
Perhaps what you are really looking for is the value of the repeating decimal
0.142857142857142857...which is sometimes written 0.(142857)
That happens to be 1/7, and is also a rational number.
To express a decimal number as a rational number, we need to convert it into fraction form.
Step 1: Let x be the given decimal number, which is 0.143.
Step 2: Multiply x by a power of 10 to eliminate the decimal point. Since there is one digit after the decimal point, multiply x by 1000 (10^3).
x = 0.143 * 1000 = 143.
Step 3: Write x as the numerator of a fraction and the denominator as the power of 10 used in Step 2.
143/1000.
Step 4: Simplify the fraction if possible. In this case, we can simplify by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1.
Therefore, 0.143 expressed as a rational number is 143/1000.