What is the quotient and remainder of 400 divided by 3
The Correct Answer and Explanation is:
When dividing 400 by 3, we are performing a division that yields both a quotient and a remainder. To solve this, we can use long division or a basic division approach.
Division Process:
- Divide 400 by 3.
- 3 goes into 4 1 time (since 3 × 1 = 3).
- Subtract 3 from 4, leaving a remainder of 1.
- Bring down the 0 to make the number 10.
- 3 goes into 10 3 times (since 3 × 3 = 9).
- Subtract 9 from 10, leaving a remainder of 1.
- Bring down the next 0 to make the number 10 again.
- 3 goes into 10 3 times, and the process repeats.
Final Calculation:
- The quotient is 133 (this is the whole number result of the division).
- The remainder is 1 (this is what’s left over after the division).
Thus, when 400 is divided by 3, we can write the result as:400÷3=133 (quotient) with a remainder of 1400 \div 3 = 133 \text{ (quotient)} \text{ with a remainder of } 1400÷3=133 (quotient) with a remainder of 1
Alternatively, you could express this as:400=3×133+1400 = 3 \times 133 + 1400=3×133+1
This shows that when you multiply the quotient (133) by 3 and add the remainder (1), you get back to the original number (400).
Explanation:
- Quotient: This is the number of times 3 fits into 400 without exceeding it.
- Remainder: This is what is left after the division when 400 is not perfectly divisible by 3.
This method of division is a standard way of finding both the quotient and the remainder when dividing numbers. The quotient is always a whole number, and the remainder is always smaller than the divisor (in this case, 3).
