What is 40 divided by 9 with remainder
The Correct Answer and Explanation is :
To calculate ( 40 \div 9 ) with a remainder, follow these steps:
Step 1: Divide 40 by 9
When dividing 40 by 9, we begin by determining how many times 9 fits into 40.
( 40 \div 9 = 4.44\ldots ) (this is a decimal, but we’re interested in the whole number quotient and remainder).
Since 9 fits into 40 four times (9 × 4 = 36), the whole number quotient is 4.
Step 2: Calculate the Remainder
Now, subtract the result of ( 9 \times 4 = 36 ) from 40:
( 40 – 36 = 4 )
So, the remainder is 4.
Final Answer:
The division of 40 by 9 results in a quotient of 4 with a remainder of 4. We can express this as:
[
40 \div 9 = 4 \text{ R } 4
]
Alternatively, it can be written as:
[
40 = (9 \times 4) + 4
]
Explanation of Division with Remainder:
When performing division of integers, there are two main results: the quotient (the whole number result) and the remainder (the leftover part after the division). In the division of 40 by 9, the quotient is 4 because 9 fits into 40 exactly four times, with some leftover amount. This leftover part is the remainder, which is the difference between the total (40) and the largest multiple of 9 less than or equal to 40 (which is 36). The remainder represents what’s left over after the division process.
Understanding division with remainder is essential for various applications in mathematics, especially when dealing with problems that involve whole number results, like in modular arithmetic, measurements, or when allocating resources.