Rational and Irrational Numbers Worksheet for 8th Grade Math

A printable worksheet for 8th grade math. This worksheet covers number system section in common core, courses 8.NS.A.1 and 8.NS.A.2 The main topics are rational numbers, irrational numbers, approximating irrational numbers, placing irrational numbers to a number line. Answers are included.

Examples of task types:

-Which of the following are rational numbers

-Which of the statements is not true (understanding the concept)

-Write fractions in decimal form

-Write repeating decimals as fractions

-Identify irrational numbers from a given set of numbers

-Explain in your own words number pi

-Write down examples of negative irrational numbers

-Rationalize why fractions have repeating decimals

-Estimate the following square roots to two decimals

-Place square roots to a number line

-Calculate the estimate of golden ratio using expression (1+sqrt5)/2

-Calculate three decimal approximation to e^2 (approximation of e given)

-Use long division to calculate decimal estimates to 1/7 and 1/14. What will you notice?

-Which square roots of integers will fit in this piece of number line?

-How can you create irrational numbers that are between 0 and 1? Write down three examples

-If you multiply irrational number by irrational number, is the answer always irrational?

-Calculate square of golden ratio using estimate 1.618. Make and educated guess how many right decimals the square has

-Write given repeating decimal as simplest fraction possible

-List square roots that are rational numbers

-Draw a mind map that includes concepts: real numbers, irrational numbers, rational numbers, whole numbers, natural numbers

-What common features do these numbers with finite decimal expression have?

This product is created for 8th grade, but it can be used with older students that need to learn about irrational numbers. This worksheet can be used individually or in small groups, during lessons or parts of it can be given as homework. This worksheet has tasks for about 3-6 hours depending if teacher pics some tasks or if the students do them all.