10/32 as a Decimal

Answer

10/32 in decimals can be written as 0.3125. It is a terminating decimal, indicating it ends after a finite number of digits.

Explanation

To get 10/32 in decimal, we will use the division method. Here, as 10 is smaller than 32, we will take help of the decimal method, which will give us 0.3125. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: As 10 is smaller than 32, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 10 as 100 and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 32. Let's see how many times 32 fits into 100.

Step 4: 32 goes into 100 three times (3 × 32 = 96). We will write 3 in the quotient place and subtract 96 from 100, which gives 4.

Step 5: Bring down another 0 in the dividend place, making it 40. Divide 40 by 32, which goes 1 time (1 × 32 = 32). Subtract to get 8.

Step 6: Bring down another 0 to make it 80. Divide 80 by 32, which goes 2 times (2 × 32 = 64). Subtract to get 16.

Step 7: Bring down another 0 to make it 160. Divide 160 by 32, which goes 5 times (5 × 32 = 160). Subtract to get 0. The remainder is 0, so the process stops here.

The answer for 10/32 as a decimal will be 0.3125.

• 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.

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

• 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.