8/64 as a Decimal

Answer:

8/64 in decimal form can be simplified first to 1/8, which can be written as 0.125. It is a terminating decimal, meaning the digits do not repeat infinitely.

Explanation:

To get 8/64 in decimal form, we will use the division method. Here, as 8 is smaller than 64, we will take the help of the decimal method, which will give us 0.125. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 8/64 to its simplest form, which is 1/8 by dividing both the numerator and the denominator by 8.

Step 2: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 3: As 1 is smaller than 8, it can't be divided; here, we will use decimals. We will add 0 to the dividend, making 1 as 10 and add a decimal point in the quotient place.

Step 4: Now that it is 10, we can divide it by 8. Let's see how many times 8 fits into 10.

Step 5: 8 goes into 10 once, so we write 1 in the quotient place and subtract 8 from 10, which gives 2.

Step 6: Bring down a 0 in the dividend place to make it 20, then divide by 8. 8 goes into 20 twice, so write 2 in the quotient.

Step 7: Subtract 16 (8×2) from 20 to get 4, bring down another 0 to make it 40. 8 goes into 40 five times, so write 5 in the quotient. The process ends here as the remainder becomes 0, confirming it is a terminating decimal.

The answer for 8/64 as a decimal is 0.125.

• 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.