Using a number line, what is the appropriate number value of √103 provide you answer in decimal form, rounded to the nearest hundredth.
To find the approximate value of √103 using a number line, we can start by locating the perfect squares that surround 103. The perfect squares closest to 103 are 100 (10^2) and 121 (11^2).
Therefore, we know that √100 < √103 < √121.
On the number line, √100 is approximately 10, and √121 is approximately 11.
Since 103 falls closer to 121, we can estimate that √103 is closer to 11 than 10.
Rounding to the nearest hundredth, the approximate value of √103 is 10.15.
To find the whole number and rational number to the nearest half that √10 is between, we can locate the perfect squares that surround 10. The perfect squares closest to 10 are 9 (3^2) and 16 (4^2).
Therefore, we know that √9 < √10 < √16.
On the number line, √9 is approximately 3, and √16 is approximately 4.
Since 10 falls closer to 9, we can estimate that √10 is closer to 3 than 4.
To find the rational number to the nearest half, we can consider the midpoint between 3 and 4, which is 3.5.
Therefore, to the nearest half, √10 is between the whole number 3 and the rational number 3.5.
Using a number line, what whole number and rational number to the nearest half is √10 between?
Using a number line, what whole number and rational number to the nearest half is √97 between?
To find the whole number and rational number to the nearest half that √97 is between, we can locate the perfect squares that surround 97. The perfect squares closest to 97 are 81 (9^2) and 100 (10^2).
Therefore, we know that √81 < √97 < √100.
On the number line, √81 is approximately 9, and √100 is approximately 10.
Since 97 falls closer to 100, we can estimate that √97 is closer to 10 than 9.
To find the rational number to the nearest half, we can consider the midpoint between 9 and 10, which is 9.5.
Therefore, to the nearest half, √97 is between the whole number 10 and the rational number 9.5.
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To find the whole number and rational number to the nearest half that √97 is between, we can locate the perfect squares that surround 97. The perfect squares closest to 97 are 81 (9^2) and 100 (10^2).
Therefore, we know that √81 < √97 < √100.
On the number line, √81 is approximately 9, and √100 is approximately 10.
Since 97 falls closer to 81, we can estimate that √97 is closer to 9 than 10.
To find the rational number to the nearest half, we can consider the midpoints between 9 and 10, which are 9.5 and 9.0.
Therefore, to the nearest half, √97 is between the whole number 9 and the rational number 9.5.