Write a rate to represent each situation. Then write the unit rate.
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First, let's see how 23 compares with the squares of the positive whole numbers on the number line.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
The value of 23 is right between the square of 4 and the square of 5. Thus, the value √23 will be between 4 and 5.
Since 23 is much, much closer to the square of 5 than the square of 4, we can assume that the value √23 will be closer to 5 on the number line than 4.
Look at the attached image to see where I plotted the approximate location of √23.
You will realize that this approximation is pretty close since the actual value is roughly 4.80.
Let me know if you need any clarifications, thanks!
We have 4 parts in one whole when we split it into fourths; in other words, 4/4 = 1 whole. To convert 10/4 to a mixed number, we first need to find out how many wholes can fit into it. In this case, we can break 10/4 down into
Giving us <em>2 wholes </em>and <em>2 fourths</em>, or 2 2/4 as a mixed number. Note that 2/4 is the same as 1/2, so we can write the simplified mixed number as 2 1/2
Giving us <em>2 wholes </em>and <em>2 fourths</em>, or 2 2/4 as a mixed number. Note that 2/4 is the same as 1/2, so we can write the simplified mixed number as 2 1/2