3/200 as a Decimal

Answer

3/200 in decimals can be written as 0.015. It is a terminating decimal, meaning it ends after a specific number of digits.

Explanation

To get 3/200 in decimal, we will use the division method. Here, as 3 is smaller than 200, we will use the decimal method, which will give us 0.015. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (200) will be taken as the divisor.

Step 2: As 3 is smaller than 200, it can't be divided directly. We will add a decimal point to the quotient and add zeros to the dividend to proceed with division.

Step 3: Now that it is 30, we can divide it by 200, which still does not work, so we need more zeros.

Step 4: Consider 300. As it is still smaller than 2000, add another zero, making it 3000.

Step 5: 200 goes into 3000 fifteen times, as 200 × 15 = 3000.

Step 6: The remainder is 0, and thus the division ends here.

The answer for 3/200 as a decimal will be 0.015.

• 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.