Rational Irrational Sum Product Rules

Rational and Irrational Number Game


Created by: Jamia Robinson, Montaevious D. Howard, Janyla Briant, Tyler Middleton

A.NR.5.1 - Rewrite algebraic and numeric expressions involving radicals

A.NR.5.2 - Using numerical reasoning, show and explain that the sum or product of rational numbers is rational, the sum of a rational number and an irrational number is irrational, and the product of a nonzero rational number and an irrational number is irrational.

A.MM.1.1 - Explain applicable, mathematical problems using a mathematical model.

A.MM.1.4 - Use various mathematical representations and structures with this information to represent and solve real-life problems

Standards

A rational number is the one which can be represented in the form of P/Q where P and Q are integers and Q ≠ 0. But an irrational number cannot be written in the form of simple fractions. ⅔ is an example of a rational number whereas √2 is an irrational number


the irrational numbers (in- + rational) are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. When the ratio of lengths of two line segments is an irrational number, the line segments are also described as being incommensurable, meaning that they share no "measure" in common, that is, there is no length ("the measure")

Vocabulary

Examples & Formula

Rational numbers are ½, ¾, 7/4, 1/100
Irrational numbers are √2, √3, pi (π)

Multiple Choice

Kelly is a carpenter, is brought a piece of wood 4.6 m long. She cuts off 1.3 m off the end. How long is the piece of wood now? Is the solution rational is so what is the solution?

• Yes it is rational, the answer is 3 4/15

• No it is not rational, the answer is 3 4/15

• Yes it is rational the answer is 4/15

Multiple Choice

In his science class, Monica watched an insect crawl 3 1/6 inches in one minute. The next minute the insect crawled 2 3/4 inches. How far did the insect crawl in total?

• 5 11/12

• 42

• 89.339

• \sqrt{17 }

Fill in the Blank

\sqrt{101} rational or irrational?

Fill in the Blank

42 rational or irrational?

Fill in the Blank

π rational or irrational?

Fill in the Blank

89.396668... rational or irrational?

Fill in the Blank

\sqrt{17 } rational or irrational?

Multiple Choice

"Number is the one which can be represented in the form of P/Q where P and Q " is this rational or irrational?

• rational

• irrational