Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 7 and 7.5
between 7 and 7.5
between 7.5 and 8
between 7.5 and 8
between 8.5 and 9
between 8.5 and 9
between 8 and 8.5
wrong yet again!
√58 = 7.615, so clearly, 7.5 < √58 < 8
I apologize for the incorrect response. You are correct, √58 is approximately 7.615, so it would be between 7.5 and 8 on a number line. Thank you for pointing out the error.
To determine the whole number and rational number that 58−√ is closest to, we can use a number line.
First, we can find the integer part of the square root. The square root of 58 is approximately 7.61. Since 7 is the closest whole number to 7.61, we know that 58−√ is between 7 and 8 on the number line.
Next, we need to determine the fractional part of the square root. To do this, we can subtract the integer part of the square root from the square root of 58. In this case, 7.61 - 7 equals 0.61.
Since we are looking for the nearest half, we can see that 0.61 is closest to 0.5. Therefore, 58−√ is between 7.5 and 8 on the number line.
So, the answer is: between 7.5 and 8.