9/8 as a Decimal

Answer

9/8 in decimals can be written as 1.125. It is a terminating decimal, meaning it has a finite number of digits after the decimal point.

Explanation

To get 9/8 in decimal, we will use the division method. Here, as 9 is larger than 8, we can divide directly without needing to convert it into a decimal immediately.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Since 9 is larger than 8, we divide 9 by 8.

Step 3: 8 goes into 9 one time. We write 1 in the quotient place, and subtract 8 from 9, leaving us with 1.

Step 4: Bring down a 0 to the remainder 1, making it 10.

Step 5: 8 goes into 10 one time. We write 1 in the quotient place next to the previous 1, subtract 8 from 10, leaving us with 2.

Step 6: Bring down another 0, making it 20.

Step 7: 8 goes into 20 two times. We write 2 in the quotient place next to the previous digits, subtract 16 (8x2) from 20, leaving us with 4.

Step 8: Bring down another 0, making it 40. Step 9: 8 goes into 40 five times exactly. We write 5 in the quotient place, and subtract 40 from 40, leaving us with 0.

The answer for 9/8 as a decimal is 1.125.

• 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.