Unit 2 Integers and Rational Numbers Name: _____ Period: _____ Common Core State Standards CCNS.1 - Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. operations with integers, in particular, the rules of signs, then the extension to all rational numbers is natural. This is because the rational numbers are placed on the line just by a change of unit from the unit interval to the 1/qth interval for every positive integer q (see section 3). THE INTEGERS AND RATIONAL NUMBERS 19 Proposition contains exactly one fraction in lowest terms (in the equivalence class)., which may not be in lowest terms. By cancelling out all the (interesting) common factors of aand band also −1 if necessary (to make b>0) we arrive at a .

Integers and rational numbers pdf

operations with integers, in particular, the rules of signs, then the extension to all rational numbers is natural. This is because the rational numbers are placed on the line just by a change of unit from the unit interval to the 1/qth interval for every positive integer q (see section 3). THE INTEGERS AND RATIONAL NUMBERS 19 Proposition contains exactly one fraction in lowest terms (in the equivalence class)., which may not be in lowest terms. By cancelling out all the (interesting) common factors of aand band also −1 if necessary (to make b>0) we arrive at a . Integers Whole Numbers Rational Numbers Use this space to take notes as you listen in class. Classifying Rational Numbers. A Venn diagram is a visual representation used to show the relationships between groups. The Venn diagram below shows how rational numbers, integers, and whole numbers . Unit 2 Integers and Rational Numbers Name: _____ Period: _____ Common Core State Standards CCNS.1 - Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. REAL NUMBERS Since q is a non-periodic decimal, it is an irrational number, and the corresponding point is an irrational point. This suggests another way of interpreting real numbers. The real numbers are the collection of all decimal expansions, finite or infinite, such as , , .Absolute Value- The distance a number is from zero on the number line. An absolute value is never negative. Examples: l -5 l = 5 and l 5 l = 5. ADDING. Check for closure property under all the four operations for natural numbers. (ii) Integers We say that rational numbers are closed under addition. That is, for. Any number that contains a decimal point or Rational Numbers. Can be expressed as a fraction. Include integers and fractions or decimals. 1/2, 2/3. These are defined for any integers a and b, but, for the reasons .. We identify any integer b with the rational number j(b) =, writing b. All integers and fractions are rational numbers. • If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a.

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Introduction to rational and irrational numbers - Algebra I - Khan Academy, time: 5:54

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