10/16 as a Decimal

Answer

10/16 in decimals can be written as 0.625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 10/16 in decimal, we will use the division method. Here, 10 is smaller than 16, so we will take the help of decimal method which will give us 0.625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (10) will be taken as the dividend and denominator (16) will be taken as the divisor.

Step 2: As 10 is smaller than 16, 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 16. Let's see how many times 16 makes 100.

Step 4: 16 multiplied by 6 is 96, which is the closest to 100 without exceeding it. We will write 6 in the quotient place and subtract 96 from 100, which gives 4.

Step 5: Bring down another 0 in the dividend place to make it 40 and then continue the division process.

Step 6: 16 multiplied by 2 is 32, which is the closest to 40 without exceeding it. We write 2 in the quotient place and subtract 32 from 40, which gives 8.

Step 7: Bring down another 0 to make it 80, 16 multiplied by 5 is 80, which divides perfectly. Hence, the answer for 10/16 as a decimal will be 0.625.

• 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.