Question

classify the no. as irrational or rational
$- \sqrt{0.16 }$




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Answer 1

Step-by-step explanation:

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♡ First, I would like to define what a rational number is. A rational number is any number that can be written as a fraction a/b where a and b are both integers.

This problem should be written as -1 * √0.16. The square root of 0.16 is the number which when multiplied by itself, equals 0.16. In this case, that number is either 0.4 or -0.4, because 0.4 times 0.4 equals 0.16, and -0.4 times -0.4 equals 0.16. Although both answers do technically work, the practice is generally to say that √0.16 = 0.4. However we will be doing the problem as if it is either positive or negative.

So now the problem becomes -1 * 0.4 = -0.4, or -1 * -0.4 = 0.4. So the answer is plus or minus 0.4.

Those are both rational numbers, because 0.4 can be written as 4/10 where 4 and 10 are both integers, and -0.4 can be written as -4/10 where -4 and 10 are both integers. Therefore the answer is yes.

♡

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