Aftësi, Veprime me numra 1 (PDF)

## Aftësi, Veprime me numra 1: Chapter 1.2, 1.3, 2.1, 2.2, 2.3, 2.4 #### 1.2 Mbledhja dhe zbritja * A negative number is added by subtracting * A negative number is subtracted by adding * Examples: * -5 + (- 6) = -5 - 6 = - 11 * 4 - (- 2) = 4 + 2 = 6 * There are 2 techniques to...

## Aftësi, Veprime me numra 1: Chapter 1.2, 1.3, 2.1, 2.2, 2.3, 2.4 #### 1.2 Mbledhja dhe zbritja * A negative number is added by subtracting * A negative number is subtracted by adding * Examples: * -5 + (- 6) = -5 - 6 = - 11 * 4 - (- 2) = 4 + 2 = 6 * There are 2 techniques to calculate a problem: * Breaking the number into smaller parts * Completing the number: rounding to the nearest number and using the associative property. * Example: 61.9 + 7.2 can be broken into 61.9 + 7 + 0.2 = 68.9 + 0.2 = 69.1 * Use estimation to check your answers #### 1.3 Shumëzimi dhe pjesëtimi * A positive number multiplied or divided by a negative number results in a negative number * A negative number multiplied or divided by a negative number results in a positive number * Examples: * 21 × (- 73) = - 1533 * - 396 : (- 9) = 44 * When multiplying and dividing decimal numbers: * Calculate an estimation * Perform the calculation as if there were no decimal * Use the estimation to place the decimal in the answer #### 1.3 Shumëzimi dhe pjesëtimi * The distributive property can be used to solve a multiplication problem involving more than 2 numbers. * Multiplication and division problems with decimals are solved the same as whole number problems. * Use estimations to check your answers * When multiplying or dividing decimals, move the decimal place the same number of places it was moved in the original problem. #### 2.1 Reduktimi i shprehjeve * Like terms have the same variable or symbol. * Simplify expressions by combining like terms * Example: 4a + 3b - 2a + b = 2a + 4b * Use the order of operations * PEMDAS: Parenthesis, exponents, multiplication/division, addition/subtraction #### 2.2 Fuqitë * A power is a product of the same number repeated several times. * The base is the number that is multiplied by itself. * The exponent indicates how many times the base is multiplied. * Example: 2⁴ = 2 x 2 x 2 x 2 = 16 * Properties of powers: * xa × xb = xa+b * xa : xb = xa-b * (xa)b = xab * x⁰ = 1 * xa = 1/x-a * x1/n = √nx * Powers can be used with variables as well as numbers. * Simplify expressions by combining terms with the same base using the properties of powers. #### 2.3 Zbërthimi i kllapave dhe faktorizimi 1 * Multiply the term outside parenthesis by each term inside parenthesis * Remember to combine like terms. * Factoring is the opposite of expanding parenthesis * Find the greatest common factor of the terms inside the polynomial, and take that factor out. #### 2.4 Thyesat algjebrike * An algebraic fraction is a fraction whose numerator or denominator is a polynomial. * Algebraic fractions follow the same rules as numerical fractions. * Simplify an algebraic fraction by factoring the numerator and denominator, and canceling any common factors. * To add or subtract algebraic fractions, find a common denominator. * To multiply or divide algebraic fractions, multiply or divide the numerators and the denominators.