215 divided by 9 find the two numbers the quotient is between then estimate
The correct answer and explanation is:
To divide 215 by 9, first, perform the division:
215 ÷ 9 = 23.888…
This means the quotient is approximately 23.89 when rounded to two decimal places.
Now, let’s break this down into a simple estimation. When dividing 215 by 9, we can approximate the quotient by rounding 215 to the nearest multiple of 9. The closest multiple of 9 to 215 is 216, which is 9 × 24. So, the quotient is somewhere between 23 and 24.
To further estimate the quotient, you can think of the remainder when dividing 215 by 9. Dividing 215 by 9 gives 23 as the whole number quotient, with a remainder of 8. Therefore, the quotient is just slightly less than 24.
To refine the estimate:
- 9 × 23 = 207
- 9 × 24 = 216
Since 215 is closer to 216 than to 207, we can say that the quotient is between 23 and 24.
In summary, the quotient of 215 divided by 9 is approximately 23.89, and the result lies between 23 and 24. The remainder gives an insight into how close the result is to the next whole number (24), but it doesn’t quite reach that value. This is an example of how estimates can help us understand the result without performing the exact calculation.