hey bot Using a number line, what is the approximate number value of 103−−−√? Provide your answer in decimal form, rounded to the nearest hundredth.(1 point)
To find the approximate number value of √103 using a number line, we can estimate the position of the square root on the number line.
The nearest perfect squares to 103 are 100 (10^2) and 121 (11^2). Since 103 lies between these two perfect squares, we can expect √103 to be somewhere between 10 and 11 on the number line.
Rounding √103 to the nearest hundredth, we get approximately 10.15.
Using a number line, what whole number and rational number to the nearest half is 10−−√ between
To determine which whole number and rational number to the nearest half lie on either side of √10 on a number line, we can estimate the position of √10.
Since 10 is between the perfect squares 9 (3^2) and 16 (4^2), we can expect √10 to be between 3 and 4 on the number line.
To the nearest half, the whole number on the left side of √10 is 3, and on the right side, it is 4.
As for rational numbers, we can split the interval between 3 and 4 into halves. The rational number to the nearest half on the left side is 3.5, and on the right side, it is 4.
Therefore, to the nearest half, 10−√ falls between the whole number 3 and the rational numbers 3.5 and 4 on the number line.
To find the approximate number value of √103 using a number line, we first need to determine where 103 falls on the number line.
103 is between 100 and 110 on the number line.
To estimate the square root, we can find two perfect squares that are closest to 103. In this case, the perfect squares closest to 103 are 100 and 121.
√100 is 10 and √121 is 11.
Since 103 is closer to 100 than to 121, we can estimate that the value of √103 is closer to 10.
So, the approximate number value of √103 is 10, rounded to the nearest hundredth.