Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
The square root of 10 is approximately 3.162, which is closer to 3.5 on the number line. Therefore, the whole number that 10-√10 is closest to is 3, and the rational number to the nearest half is 3.5.
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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Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between
and
.
Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between __
and__
.
Hey Bot, using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between __
and__
.
To find the whole number and rational number to the nearest half of √10, let's determine its approximate value.
Start by finding the square root of 10:
√10 = 3.1622776601683795 (approximately)
To the nearest half, √10 can be rounded down or up depending on its decimal part. Since the decimal part is less than 0.5, we round down.
Therefore, to the nearest half, √10 is approximately equal to 3.0.
The whole number and rational number to the nearest half of √10 between -∞ and +∞ on a number line are:
Whole number: 3
Rational number: 3.0
To determine the whole number and rational number to the nearest half that is closest to √10, let's start by finding the two whole numbers around it on the number line.
First, find the two perfect squares that are closest to 10. The perfect squares before and after 10 are 9 (3^2) and 16 (4^2).
Next, find the square roots of these perfect squares:
√9 ≈ 3
√16 ≈ 4
So, we have √9 ≈ 3 and √16 ≈ 4. These values give us the whole numbers on the number line that are nearest to √10.
Now, let's find the nearest rational numbers to the half units. The half unit immediately before √10 is 3.5, and the half unit immediately after √10 is 4.5.
Therefore, the whole number nearest to √10 is 3, and the rational number to the nearest half is 3.5.