Using a number line, what whole number and rational number to the nearest half is 30−−√
between?(1 point)
On a number line, we can see that 30−−√ is between the whole numbers 5 and 6.
To find the nearest half, we can convert both numbers to a common denominator.
5 = 5/1 and 6 = 6/1.
Converting 5 to the nearest half, we get 5.5 which is equal to 11/2.
Converting 6 to the nearest half, we get 6.0 which is equal to 6/1.
Therefore, the whole number closest to 30−−√ is the whole number 6 and the rational number closest to 30−−√ to the nearest half is 11/2.
To find the whole number and rational number to the nearest half of √30, we can first calculate the exact value of √30. Then, we can locate this value on a number line and find the whole number and rational number that is closest to it.
1. Calculating √30:
√30 is approximately 5.477 (rounded to three decimal places). To calculate this value, you can use a calculator or a math software program.
2. Locating √30 on a number line:
Draw a number line and mark the whole numbers and half-points. In this case, let's consider the number line from 0 to 10.
0 1/2 1 1 1/2 2 2 1/2 3 3 1/2 4 4 1/2 5 5 1/2 6 6 1/2 7 7 1/2 8 8 1/2 9 9 1/2 10
Locate the approximate value of √30, which is around 5.477, somewhere between 5 and 6 on the number line.
3. Finding the whole number and rational number to the nearest half:
From the number line, we can see that 5 is the whole number closest to √30, and 5 1/2 (or 5.5) is the rational number to the nearest half.
Therefore, the whole number closest to √30 is 5, and the rational number to the nearest half is 5 1/2.
To determine the whole number and rational number to the nearest half that is closest to √30 on a number line, we first need to find the whole number and rational number that fall between the two nearest half values.
The nearest half value to √30 is between two whole numbers. Let's find the square roots of the nearest perfect squares to √30:
√25 = 5
√36 = 6
The numbers 5 and 6 are the whole numbers that surround √30 on the number line.
Next, we determine the half values that are closest to √30. The half values between 5 and 6 are:
5.5 (between 5 and 6)
So, the whole number nearest to √30 is 6, and the rational number to the nearest half is 5.5.