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Approximating irrational numbers worksheet

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The document is a matching worksheet focused on approximating irrational numbers, specifically square roots, and comparing their values through word problems. It includes a series of problems that require students to match each problem with the correct answer.

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Is 6 rational or irrational?

Thus, the value obtained for the root of 6 satisfies the condition of being a non-terminating and non-repeating decimal number that keeps extending further after the decimal point which makes 6 an irrational number. Hence, 6 is an irrational number.

Is there a formula for irrational numbers?

The common examples of irrational numbers are pi(=314159265), 2, 3, 5, Eulers number (e = 2718281..), 2.010010001.,etc.

Is 7 rational or irrational?

Real numbers consist of both rational and irrational numbers. (R-Q) defines that irrational numbers can be obtained by subtracting rational numbers (Q) from the real numbers (R). This can also be written as (R\Q). Hence Irrational Numbers Symbol = Q.

How to prove 7 is irrational?

0:54 2:36 We get c as a quotient where C is an integer. Putting the value of a in equation 1. And solving. WeMoreWe get c as a quotient where C is an integer. Putting the value of a in equation 1. And solving. We get b square is equal to 7c squared. This shows that 7 divides b square. Then 7 will also divide B.

Is 8 irrational or rational?

Hence, the square root of 8, i.e. 8, is an irrational number 22. Also, the decimal form of 8 is a non-terminating decimal with non-repeating digits. Therefore, it cant be written in the form of p/q, which again proves its irrationality.

How do you approximate an irrational number?

7 is a irrational number.

Is rational or irrational?

Square roots of perfect squares are always whole numbers, so they are rational. But the decimal forms of square roots of numbers that are not perfect squares never stop and never repeat, so these square roots are irrational.

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