1/32 as a Decimal

Answer

1/32 in decimals can be written as 0.03125. It is a terminating decimal, showing it ends after a certain number of digits.

Explanation

To get 1/32 in decimal, we will use the division method. Here, as 1 is smaller than 32, we will take the help of the decimal method, which will give us 0.03125.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: As 1 is smaller than 32, we can't divide it directly; here, we will take the help of decimals. We will add 0 to the dividend, which will make it 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we still can't divide by 32. We continue to add zeros until we have a number larger than 32.

Step 4: 100 is not a multiple of 32, so we will look for how many times 32 fits into 100, which is 3 times (32 x 3 = 96). We will write 3 in the quotient place and subtract 96 from 100, giving us a remainder of 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and then repeat the division process. 40 divided by 32 is 1, with a remainder of 8.

Step 6: Bring down another 0 to make it 80. 80 divided by 32 is 2, with a remainder of 16.

Step 7: Bring down another 0 to make it 160. 160 divided by 32 is 5, with no remainder. The division process ends here as we reach 0 as a remainder.

The answer for 1/32 as a decimal will be 0.03125.

• 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.