49/50 as a Decimal

Answer

49/50 in decimals can be written as 0.98. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 49/50 into a decimal, we will use the division method. Since 49 is smaller than 50, we will use the decimal method which will give us 0.98. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (49) will be taken as the dividend and the denominator (50) will be taken as the divisor.

Step 2: As 49 is smaller than 50, it can't be divided as is, so we will take the help of decimals. We will add 0 to the dividend, which will make 49 as 490 and add a decimal point in the quotient place.

Step 3: Now that it is 490, we can divide it by 50. Let's see how many times 50 fits into 490.

Step 4: 490 divided by 50 gives 9, since 50 × 9 = 450. We will write 9 in the quotient place and subtract 450 from 490, giving a remainder of 40.

Step 5: Bring down another 0 in the dividend place to make it 400, then divide again.

Step 6: 400 divided by 50 gives 8, since 50 × 8 = 400, leaving no remainder.

This process shows that 49/50 as a decimal is 0.98, which is a terminating decimal.

• 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.