Using a number line, what whole number and rational numbers the nearest half is 20 between?
To determine the whole number and rational numbers that the nearest half is 20 between, we can start by finding the integer that is closest to but less than 20. On a number line, we see that 19 is the integer that is closest to but less than 20.
Next, we find the next whole number that is closest to but greater than 20. Again, on the number line, we see that 20 is the whole number that is closest to but greater than 20.
Now, we need to find the rational numbers that are exactly halfway between these two whole numbers.
For the rational number that is halfway between 19 and 20, we can add 0.5 to the lesser whole number:
19 + 0.5 = 19.5
For the rational number that is halfway between 20 and 21, we can add 0.5 to the higher whole number:
20 + 0.5 = 20.5
Therefore, the whole number and rational numbers the nearest half is 20 between are:
19, 19.5, 20, and 20.5.
To find the whole number and rational numbers that are nearest to half but equal to 20 on a number line, we can start by considering the half-values on either side of 20.
The half-value before 20 can be found by subtracting 0.5 from 20:
20 - 0.5 = 19.5
So, 19.5 is the rational number that is the nearest half before 20.
Similarly, the half-value after 20 can be found by adding 0.5 to 20:
20 + 0.5 = 20.5
Hence, 20.5 is the rational number that is the nearest half after 20.
Since you also asked for the nearest whole number, we can consider the whole number on either side of 20 as well.
The whole number before 20 is simply the integer part of 20, which is 20 itself.
The whole number after 20 can be found by adding 1 to 20:
20 + 1 = 21
Therefore, the whole number nearest to half and equal to 20 is 20, and the rational numbers nearest to half and equal to 20 are 19.5 and 20.5.
To find the whole number and rational numbers nearest to half of 20 on a number line, we should first understand what the terms mean.
- Whole numbers are positive numbers without any fractional or decimal parts. Examples include 0, 1, 2, 3, and so on.
- Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. Examples include 1/2, 3/4, -5/6, and so on.
In this case, since we are looking for the numbers nearest to half of 20, we need to find the numbers closest to 10.
Now, let's take a look at a number line:
...7 8 9 10 11 12 13...
The whole number and rational number nearest to 10 are both 10. This is because 10 is exactly in the middle of 9 and 11 on the number line.
So, the whole number nearest to half of 20 is 10, and the rational number nearest to half of 20 is also 10.