167/1000 as a Decimal

Answer

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.

Explanation

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.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.