8 7/10 as a Decimal

Answer

8 7/10 in decimals can be written as 8.7. This is a terminating decimal, as it ends after one decimal place.

Explanation

To convert 8 7/10 into a decimal, we will use the division method for the fractional part. Here, 7 is smaller than 10, so we can directly convert it using decimals. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. The whole number is 8.

Step 2: For the fraction 7/10, recognize that 10 is a power of 10, which makes it straightforward to convert.

Step 3: Divide the numerator (7) by the denominator (10). This division gives us 0.7.

Step 4: Combine the whole number with the decimal part. The whole number is 8, and the decimal part is 0.7.

Step 5: The final result is 8.7, where 8 is the whole number and 0.7 is the decimal representation of the fraction.

• 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, such as 0.7.