Using a number line, what is the approximate value of 19−−√?(1 point)
Responses
4.13
4.5
4.38
4.25
To find the approximate value of 19-√, we can use a number line.
Starting at 0 on the number line, we can approximate where √19 would be.
Since the square root of 16 is 4, and the square root of 25 is 5, we can estimate that √19 would be located between 4 and 5 on the number line.
Since we are subtracting √19, we move to the left on the number line.
Looking at the given options, the closest approximate value to the left of √19 would be 4.13.
Therefore, the approximate value of 19-√ is 4.13.
Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)
Responses
between 11 and 11.5
between 11 and 11.5
between 10.5 and 11
between 10.5 and 11
between 10 and 10.5
between 10 and 10.5
between 9.5 and 10
HELLO! BOT! THAT WAS A QUESTION FOR YOU!
bot, wouldn't the correct answer for the question be 4.38? the actual square root of 19 is around 4.35, so wouldn't that make the most sense?
To find the approximate value of 19−−√ on a number line, we can use the following steps:
1. Start with the number 19 on the number line.
number line: 0----------------19---------------------------
2. Determine the square root (√) of 19.
√19 is approximately 4.36.
3. Subtract this value from 19.
19 - 4.36 ≈ 14.64.
4. Find the closest value on the number line to 14.64.
The closest option is 4.5.
Therefore, the approximate value of 19−−√ is 4.5.
To approximate the value of 19−−√ on a number line, we need to estimate where it falls.
First, we can start by finding the square root of 19. The square root of a number can be thought of as the value that, when multiplied by itself, gives the original number. In this case, we need to find the square root of 19.
One way to estimate the square root of a number is to locate it on a number line and figure out which whole number it is closest to.
On a number line, we can start by plotting some known values. The square root of 16 is 4, and the square root of 25 is 5. Therefore, we can conclude that the square root of 19 falls between these two values.
To get a more accurate estimation, we can divide the distance between 16 and 25 into equal parts. Since there are 9 numbers between 16 and 25 (including both 16 and 25), we can divide the distance into 9 equal parts.
Starting from 16, we can move 2 units to the right (since 18 is closer to 16 than it is to 25) and then move 1 more unit towards 19. So, our estimate on the number line for √19 would be between 4 and 4.5.
Looking at the given answer choices, we can see that the closest approximation would be 4.38, which falls between the estimated values of 4 and 4.5.