25/7 as a Decimal

Answer

25/7 in decimals can be written as approximately 3.571428. It is a non-terminating, non-repeating decimal.

Explanation

To get 25/7 in decimal, we will use the division method. Here, 25 is larger than 7, so we can perform the division directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Divide 25 by 7. 7 goes into 25 three times, which gives us 21. We write 3 in the quotient place.

Step 3: Subtract 21 from 25 to get a remainder of 4.

Step 4: Bring down a 0 to make it 40. Divide 40 by 7, which goes 5 times (7 × 5 = 35). Write 5 in the quotient.

Step 5: Subtract 35 from 40 to get a remainder of 5. Bring down another 0 to make it 50.

Step 6: Divide 50 by 7, which goes 7 times (7 × 7 = 49). Write 7 in the quotient and subtract 49 from 50 to get 1.

Step 7: Continue this process (bringing down zeros and dividing) to obtain the decimal representation of 3.571428... The division process continues, and the decimal does not terminate or repeat, giving us a non-terminating, non-repeating 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.
   
• Non-terminating Decimal: A decimal that continues infinitely without ending or repeating a pattern.