Rational Number: All numbers (including fractions), including terminating and repeating decimals Not a rational number: Write 2 rational numbers between -0.25 and -0.26 Ex. -0.251,-0.259 Ex. Order from greatest to least: -0.375, , -1.25, 0.7 Greatest to least: fractions must have a common denominator 6. 2 Adding Rational Numbers – – Ex: fractions must have a common denominator 6. 3 Subtracting Rational Numbers – – Ex: -2 fractions cross cancel; then multiply straight across the top, then straight 6. 4 Multiplying Rational Numbers – – across the bottom Ex: *Cross-cancel and Invert multiply 6. 5 Dividing Rational Numbers – – Ex: - BEDMAS 6. 6 Order of Operations with Rational Numbers – Ex: Unit 7 Review Notes – Circle Geometry 7. 1 Properties of Tangents to a Circle – Tangents touch a circle at only one point. Tangents are to the radius. Forms a angle. perpendicular 90° Use the Pythagorean Theorem to solve right triangles. a2 + b2 = c2 is the hypotenuse) (where “c” 7. 2 Properties of Chords in a Circle – The perpendicular from the centre of a circle to a chord bisects the chord and forms a 90° angle. 7. 3 Properties of Angles in a Circle – Arcs: Minor Arc short arc Major Arc longer arc – –
Rational Number: All numbers (including fractions), including terminating and repeating decimals Not a rational number: Ex. Write 2 rational numbers between -0.25 and -0.26 -0.251,-0.259 Ex. Order from greatest to least: -0.375, , -1.25, 0.7 Greatest to least: 6. 2 – Adding Rational Numbers – fractions must have a common denominator Ex: 6. 3 – Subtracting Rational Numbers – fractions must have a common denominator Ex: -2 6. 4 – Multiplying Rational Numbers – fractions cross cancel; then multiply straight across the top, then straight across the bottom Ex: *Cross-cancel 6. 5 – Dividing Rational Numbers – Invert and multiply Ex: 6. 6 – Order of Operations with Rational Numbers - BEDMAS Ex: Unit 7 Review Notes – Circle Geometry 7. 1 – Properties of Tangents to a Circle Tangents touch a circle at only one point. Tangents are perpendicular to the radius. Forms a 90° angle. Use the Pythagorean Theorem to solve right triangles. a2 + b2 = c2 (where “c” is the hypotenuse) 7. 2 – Properties of Chords in a Circle The perpendicular from the centre of a circle to a chord bisects the chord and forms a 90° angle. 7. 3 – Properties of Angles in a Circle Arcs: Minor Arc – short arc Major Arc – longer arc
grade_9_math_exam_review_notes.docx