7/32 as a Decimal

Answer

7/32 in decimals can be written as 0.21875. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert 7/32 into a decimal, we will use the division method. Here, as 7 is smaller than 32, we will use the decimal method, which will give us 0.21875. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: As 7 is smaller than 32, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, making it 70, and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 32. Let's see how many times 32 fits into 70.

Step 4: 32 fits into 70 twice (2 × 32 = 64). We will write 2 in the quotient place and subtract 64 from 70, which gives 6.

Step 5: Bring down another 0 in the dividend place, making it 60, and repeat the division process.

Step 6: 32 fits into 60 once (1 × 32 = 32). Subtracting 32 from 60 gives us 28.

Step 7: Bring down another 0, making it 280. 32 fits into 280 eight times (8 × 32 = 256). Subtracting 256 gives 24.

Step 8: Bring down another 0, making it 240. 32 fits into 240 seven times (7 × 32 = 224). Subtracting 224 gives 16.

Step 9: Bring down another 0, making it 160. 32 fits into 160 five times (5 × 32 = 160). Subtracting 160 gives 0. The division process ends here with no remainder, indicating a terminating decimal.

The answer for 7/32 as a decimal is 0.21875.

• 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.