How many times does 3 go into 8000
The Correct Answer and Explanation is:
Answer:
3 goes into 8000 2,666 times with a remainder of 2.
Mathematically, 8000÷3=2666 R 28000 ÷ 3 = 2666 \text{ R }28000÷3=2666 R 2
Textbook-Style Explanation:
To determine how many times 3 goes into 8000, long division is used. This process helps to break down the division into manageable steps and clearly shows how the quotient and remainder are determined.
Begin by dividing 8000 by 3. Since 3 is a single-digit divisor and 8000 is a four-digit dividend, the division process is performed from left to right, starting with the leftmost digit of 8000.
Start with the first digit, 8.
3 goes into 8 two times because 3×2=63 \times 2 = 63×2=6.
Subtracting 6 from 8 leaves a remainder of 2.
Bring down the next digit, which is 0, to make it 20.
Now, determine how many times 3 goes into 20.
3 goes into 20 six times because 3×6=183 \times 6 = 183×6=18.
Subtracting 18 from 20 gives a remainder of 2 again.
Bring down the next 0 to make it 20 again.
Repeat the process:
3 goes into 20 six times, with a remainder of 2.
Bring down the last 0, making the new number 20.
Again, 3 goes into 20 six times, with a remainder of 2.
At this point, there are no more digits to bring down. The division is complete, and the quotient is 2666 with a remainder of 2. This means that 3 fits into 8000 a total of 2666 whole times, and 2 is left over.
This division can also be expressed as a mixed number or a decimal: 8000÷3=266623or2666.67 (rounded to two decimal places)8000 ÷ 3 = 2666\frac{2}{3} \quad \text{or} \quad 2666.67 \text{ (rounded to two decimal places)}8000÷3=266632or2666.67 (rounded to two decimal places)
