2/40 as a Decimal

Answer

2/40 as a decimal can be written as 0.05. It is a terminating decimal because it does not repeat infinitely.

Explanation

To convert 2/40 to a decimal, we will use the division method. Since 2 is smaller than 40, we will employ the decimal method to find the answer. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (2) will be taken as the dividend, and the denominator (40) will be taken as the divisor.

Step 2: As 2 is smaller than 40, it can't be divided directly; hence, we will add a decimal point and a zero to the dividend, making it 20, and add a decimal point in the quotient.

Step 3: Now, divide 20 by 40. 20 is not a multiple of 40, so we will look for the nearest number that 40 can multiply to stay below 20, which is 0.

Step 4: Since 40 does not fit into 20, write 0 in the quotient and bring down another 0, making it 200.

Step 5: Divide 200 by 40. 40 goes into 200 five times (40 × 5 = 200). Write 5 in the quotient place.

Step 6: Subtract 200 from 200, which leaves 0. The division process ends, resulting in a terminating decimal.

The answer for 2/40 as a decimal is 0.05.

• 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.