-9 1/8 as a Decimal

Answer

-9 1/8 in decimals can be written as -9.125. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert -9 1/8 into a decimal, we need to separate the whole number and the fractional part. The whole number is -9. For the fractional part, 1/8, we'll use division to find its decimal form.

Step 1: Identify the numerator and denominator. Here, the numerator is 1, and the denominator is 8.

Step 2: Divide 1 by 8. Since 1 is smaller than 8, the result will be a decimal. Add a decimal point and zero to the dividend to make it 10, and place a decimal point in the quotient.

Step 3: Divide 10 by 8, which gives 1 as the quotient and a remainder of 2.

Step 4: Bring down another 0 to make it 20 and divide by 8, which results in 2 as the quotient with a remainder of 4.

Step 5: Bring down another 0 to make it 40 and divide by 8, resulting in 5 as the quotient with no remainder. Thus, 1/8 as a decimal is 0.125. Combining this with the whole number, -9.

We get -9.125 as the decimal representation of -9 1/8.

• Mixed Number: A number consisting of an integer and a fraction.

• Decimal: A number that uses 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.