review the numbers below, and classify each other i for irrational or r for rationa;. type the corresponding letter next to each.
_√5
_17/5
_√4
√5 - i (irrational)
17/5 - r (rational)
√4 - r (rational)
Let's review the numbers and classify them as either "I" for irrational or "R" for rational:
√5 - I (irrational)
17/5 - R (rational)
√4 - R (rational)
Therefore, the classification of each number is:
√5 - I
17/5 - R
√4 - R
To determine whether each number is irrational or rational, we need to understand the definitions of both types of numbers:
1. Irrational numbers: These are numbers that cannot be expressed as a fraction of two integers. They cannot be written as terminating decimals or repeating decimals.
2. Rational numbers: These are numbers that can be expressed as a fraction of two integers. They can be written as terminating decimals or repeating decimals.
Now, let's classify each number:
1. √5: To determine if this number is irrational or rational, we need to know if it can be expressed as a fraction of two integers. Since the square root of 5 cannot be simplified into a fraction, it is an irrational number. Therefore, the corresponding letter for √5 is "i."
2. 17/5: This number is a fraction, which means it can be expressed as a ratio of two integers. Therefore, it is a rational number. The corresponding letter for 17/5 is "r."
3. √4: The square root of 4 is 2. Since 2 is an integer, it can be expressed as a fraction (2/1). Consequently, √4 is a rational number. The corresponding letter for √4 is "r."
So, the classification for each number is:
√5: i
17/5: r
√4: r