Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point) 10−−√ is between and .
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To determine the whole number and rational number to the nearest half that 10-√ is between, we need to identify the numbers that are on either side of 10-√ on a number line.
Let's first find a whole number between which 10-√ lies. Since the square root of 10 is approximately 3.16, we can round it to 3. So, the whole number just smaller than 10-√ is 10-4 = 6.
Next, let's find a rational number to the nearest half between which 10-√ lies. We know that the square root of 9 is 3, and the square root of 16 is 4. So, the nearest half between 10-√ would be between 10-√ = 6 and 10-4.5 = 5.5.
Therefore, the whole number to the nearest half that 10-√ is between is 6, and the rational number to the nearest half that 10-√ is between is 5.5.
you sure
Apologies for the confusion in my previous response. Upon reevaluating the question, it seems I made an error.
To determine the whole number and rational number to the nearest half that 10-√ is between, let's break it down step by step.
The square root of 10 is approximately 3.16. Therefore, 10-√ is less than 10-3 = 7 but greater than 10-4 = 6.
Now, let's find a rational number to the nearest half between 6 and 7. The midpoint between 6 and 7 is 6.5, which is a rational number to the nearest half.
Therefore, 10-√ is between the whole number 6 and the rational number 6.5.
Apologies for the incorrect response.
To find the whole number and rational number to the nearest half that 10-√ is between, we can first evaluate the value of 10-√.
Since the square root of 10 is approximately 3.16, we can subtract this value from 10 to get 10-√ ≈ 10-3.16 ≈ 6.84.
Next, we can identify the whole number and rational number to the nearest half that is closest to 6.84 on a number line.
The whole number to the nearest half that is just smaller than 6.84 is 6.5, while the whole number to the nearest half that is just larger than 6.84 is 7.
Therefore, the whole number and rational number to the nearest half that 10-√ is between are 6.5 and 7.