Let's explore Sari's estimation and verify her claim step by step.
1. Given Information:
- The dividend (the number being divided) is 120.78.
- The divisor (the number you are dividing by) is 9.9.
- Sari's estimate for the quotient is 12.
2. Calculate the Actual Quotient:
To find the actual quotient, we divide the dividend by the divisor:
[tex]\[
\text{Actual Quotient} = \frac{120.78}{9.9}
\][/tex]
From the provided answer, the actual quotient is 12.2.
3. Comparison of Estimate and Actual Quotient:
- Sari estimated the quotient to be 12.
- The actual quotient is 12.2.
4. Evaluate Sari’s Claim:
- Sari said her estimate of 12 is slightly higher than the actual quotient.
- Comparing 12 (estimate) and 12.2 (actual), we see that 12 is actually less than 12.2.
5. Conclusion:
- Sari's statement that her estimate is slightly higher than the actual quotient is incorrect. In fact, her estimate is slightly lower than the actual quotient.
- Despite this mistake, Sari's estimate of 12 is quite reasonable because it's very close to the actual value of 12.2.
In summary, Sari's numerical estimate is close and reasonable, but her assertion about the estimate being greater than the actual quotient is incorrect.
