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)
103−−−√ is approximately
10.15
Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between ? and ?
.
It’s wrong
Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between 3 and
bot?
Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between 3 and
um
10−−√ is between and
To approximate the value of √103 on a number line, we need to find the closest square root value. Since 103 falls between the perfect squares 100 (10^2) and 121 (11^2), we know that the square root value of 103 will be between 10 and 11.
To get a more accurate value, we can estimate the decimal part of the square root. One way to do this is by dividing the number into parts and finding the square root of each part.
Let's split 103 into two parts: 100 and 3.
The square root of 100 is 10, and the square root of 3 can be approximated to 1.73 (using a calculator).
Now, we add these approximations together:
10 + 1.73 ≈ 11.73
Therefore, the approximate decimal value of √103 is 11.73.