Final answer:
To estimate 947 divided by 46, we round to 950 divided by 50, which equals 19. Adjusting the estimate, the actual division result of 947 by 46 is approximately 20.58.
Step-by-step explanation:
The question involves writing a division equation to estimate the value of 947 divided by 46 and then dividing to adjust the numbers as needed.
- To estimate the value, we can round the numbers to make the division simpler.
- First, let's round 947 to 950 and 46 to 50. Our estimated division equation is 950 divided by 50.
- This simplifies to 19, which is our estimated result.
Next, to divide the original numbers, we need to adjust our estimate because we rounded up both numbers. Since 50 is slightly greater than 46, and 950 is slightly greater than 947, our estimation will be a little higher than the actual result.
Now, to find the actual value using the estimate:
- Divide 950 by 50 to get 19.
- Since we rounded up from 46 to 50, we know the actual result will be a bit more than 19.
- Adjusting from our estimated result, we can use long division or a calculator to find that 947 divided by 46 is approximately 20.58.