Indira predicts that the actual difference of 19 - 7.82 will be greater than the estimate of 19 - 8 = 11. Indira correct ? Explain how Indira might have arrived at that prediction without subtracting the actual numbers.
subtracting less means the result will be greater
To determine whether Indira's prediction is correct without subtracting the actual numbers, we need to understand the thought process behind her prediction. One possible approach she might have taken is to analyze the numbers before making a judgment.
First, let's look at the original numbers: 19, 7.82, and 8.
If we consider 19 and 8, the estimate of their difference is 19 - 8 = 11.
Now, let's think about the actual difference between 19 and 7.82. Although we could subtract the numbers to find the result, we'll explore an alternative method that allows us to analyze the numbers without performing the subtraction.
One approach is to recognize that 19 is significantly larger than 7.82. Therefore, we can infer that the difference between them will likely be greater than the difference between 19 and 8. This estimation is based on the observation that 7.82 is closer to 8 than it is to 19.
Thus, Indira's prediction that the actual difference of 19 - 7.82 will be greater than the estimate of 19 - 8 = 11 could be justified by analyzing the relative magnitudes of the numbers involved.