Question
Using a number line what whole number and rational number to the nearest half is ✓12 between
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The number line can help us identify the whole number and rational number closest to √12 to the nearest half.
First, let's find the whole number closest to √12. The square root of 12 falls between the whole numbers 3 and 4, closer to 4. So the whole number closest to √12 is 4.
Next, let's find the rational number closest to √12 to the nearest half. The halfway point between 3 and 4 is 3.5. Now we need to determine if √12 is closer to 3.5 or 4.
To compare, we square both numbers:
3.5^2 = 12.25
4^2 = 16
Since 12.25 is closer to 12 than 16, √12 is closer to 3.5 than 4.
Therefore, the whole number closest to √12 is 4, and the rational number closest to √12 to the nearest half is 3.5.
First, let's find the whole number closest to √12. The square root of 12 falls between the whole numbers 3 and 4, closer to 4. So the whole number closest to √12 is 4.
Next, let's find the rational number closest to √12 to the nearest half. The halfway point between 3 and 4 is 3.5. Now we need to determine if √12 is closer to 3.5 or 4.
To compare, we square both numbers:
3.5^2 = 12.25
4^2 = 16
Since 12.25 is closer to 12 than 16, √12 is closer to 3.5 than 4.
Therefore, the whole number closest to √12 is 4, and the rational number closest to √12 to the nearest half is 3.5.
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