10/7 as a Decimal

Answer

10/7 in decimals can be written as approximately 1.428571. It is a recurring decimal, showing it will repeat the same block of digits infinitely.

Explanation

To get 10/7 in decimal, we will use the division method. Here, as 10 is larger than 7, we will divide directly using long division. 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 dividend and denominator (7) will be taken as divisor.

Step 2: Begin dividing 10 by 7. 7 goes into 10 once, giving a whole part of 1.

Step 3: Subtract 7 from 10 to get a remainder of 3.

Step 4: Bring down a 0 to make the remainder 30. Divide 30 by 7, which goes 4 times. Place 4 in the quotient.

Step 5: Subtract 28 from 30 to get a remainder of 2. Bring down another 0 to make it 20, and continue the division.

Step 6: Continue the process, which results in a repeating cycle of 285714 in the decimal.

The answer for 10/7 as a decimal will be 1.428571...

• 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.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.