1/64 as a Decimal

Answer

1/64 in decimals can be written as 0.015625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 1/64 in decimal, we will use the division method. Here, as 1 is smaller than 64, we will take the help of the decimal method, which will give us 0.015625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (64) will be taken as the divisor.

Step 2: As 1 is smaller than 64, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 64. However, 10 is still smaller than 64, so we will add another 0, making it 100.

Step 4: 100 is still smaller than 64, so we add another 0 to make it 1000. Now, 64 goes into 1000 15 times (64 × 15 = 960). We write 15 in the quotient place and subtract 960 from 1000, giving 40.

Step 5: Bring down another 0, making it 400. We continue the division process until the remainder is 0.

The answer for 1/64 as a decimal will be 0.015625.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten system 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.