Chang Beck
01/27/2024 · Elementary School
Look at the Example. For the first step, Jaime thought: How mony groups of 20 in 1,400 ? There are 70 . If he continues with the division steps, when will he know tha his first estimate of 70 is too high?
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To determine when Jaime will know that his first estimate of 70 is too high, we need to find the point at which the number of groups of 20 in 1,400 is less than 70.
Given:
- Total number of items: 1,400
- Number of items in each group: 20
- Initial estimate: 70 groups
To find the point at which the number of groups is less than 70, we need to calculate the number of groups of 20 in 1,400 and compare it to 70.
Let's calculate the number of groups of 20 in 1,400:
\[ \text{Number of groups} = \frac{\text{Total number of items}}{\text{Number of items in each group}} \]
Substitute the given values:
\[ \text{Number of groups} = \frac{1,400}{20} \]
Now, we will calculate the number of groups.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1400}{20}\)
- step1: Divide the terms:
\(70\)
The number of groups of 20 in 1,400 is 70.
Since Jaime's initial estimate was 70 groups, he will know that his estimate is too high when the number of groups is less than 70.
Therefore, Jaime will know that his first estimate of 70 is too high when the number of groups is less than 70.
Quick Answer
Jaime will know his first estimate of 70 is too high when the number of groups of 20 in 1,400 is less than 70.
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