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Last updated on March 27th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 167, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 1000. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
167/1000 in decimal form can be written as 0.167. It is a terminating decimal, meaning it ends after a definite number of digits.
To convert 167/1000 into a decimal, we will use the division method. Here, 167 is smaller than 1000, so we will convert it directly using the decimal method, which gives us 0.167. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (167) will be taken as the dividend and the denominator (1000) will be taken as the divisor.
Step 2: As 167 is smaller than 1000, we can't divide it directly into a whole number, so we will use decimals. Place the decimal point and add zeros to the left of 167 until it becomes divisible, leading to 167 being expressed as 167.000.
Step 3: Divide 167.000 by 1000. Since 1000 goes into 167.000 a total of 0.167 times, we write 0.167 in the quotient.
Step 4: The division is exact, and there is no remainder, making 0.167 a terminating decimal.