40/9 as a Decimal

Answer:

40/9 in decimals can be written as 4.4444… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation:

To get 40/9 in decimal, we will use the division method. Here, as 40 is larger than 9, we can directly perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (40) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 40 by 9. The number 9 goes into 40 four times since 9 × 4 = 36. So, write 4 in the quotient place.

Step 3: Subtract 36 from 40, which gives us a remainder of 4.

Step 4: Bring down a 0 to make it 40 and repeat the division process.

Step 5: Divide 40 by 9 again.

The process continues with results repeating, thus the answer for 40/9 as a decimal will be 4.4444…

• 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.

• Recurring Decimal: A decimal that repeats the same sequence of digits infinitely.