71/200 as a Decimal

Answer

71/200 in decimals can be written as 0.355. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 71/200 in decimal, we will use the division method. Here as 71 is smaller than 200, we will take help of the decimal method which will give us 0.355. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (71) will be taken as dividend and denominator (200) will be taken as divisor.

Step 2: As 71 is smaller than 200, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, which will make 71 as 710 and add a decimal point in the quotient place.

Step 3: Now that it is 710, we can divide it by 200. Let's see how many times 200 fits into 710.

Step 4: 200 goes into 710 three times, as 3 × 200 = 600. We will write 3 in the quotient place and subtract 600 from 710 gives 110.

Step 5: Bring down another 0 in the dividend place and make 110 as 1100, and then repeat the division process.

Step 6: 200 goes into 1100 five times, as 5 × 200 = 1000. We will write 5 in the quotient place and subtract 1000 from 1100 gives 100.

Step 7: Bring down another 0 in the dividend place and make 100 as 1000, then repeat the division process.

Step 8: 200 goes into 1000 five times, as 5 × 200 = 1000. We will write 5 in the quotient place and subtract 1000 from 1000 gives 0.

The division process ends with a remainder of 0, indicating that 71/200 as a decimal is 0.355.

• 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.