4 ESO Academics - Unit 02 - Exercises 4.2.3 - Rationalizing the Denominator and Standard Form
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This document contains 10 math problems involving rationalizing denominators, simplifying expressions, writing distances and measurements in standard scientific notation form, and looking up the mass of a proton. The problems cover topics like rationalizing denominators, simplifying expressions, converting between standard and scientific notation, and finding the mass of a proton.
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4 ESO Academics - Unit 02 - Exercises 4.2.3 - Rationalizing the Denominator and Standard Form
- 1. UNIT 02 October 1. Rationalize the denominator: 2. Rationalize the denominator: 3. Solve: 4. Rationalize the denominator: 5. Rationalize the denominator 𝟏𝟏 + √𝟑𝟑 𝟏𝟏 − √𝟐𝟐 = 𝟓𝟓 𝟑𝟑 − √𝟓𝟓 = √𝟓𝟓 𝟑𝟑 − √ 𝟕𝟕 = 𝟒𝟒 √ 𝟕𝟕 = −𝟔𝟔 √𝟐𝟐 𝟑𝟑 = −𝟑𝟑 √𝟐𝟐 = 𝟏𝟏𝟏𝟏 √𝟓𝟓𝟑𝟑𝟖𝟖 = −𝟐𝟐 𝟐𝟐 + √𝟔𝟔 = 𝟏𝟏 √𝟑𝟑 + √𝟓𝟓 = 𝟐𝟐 𝟑𝟑 + √𝟑𝟑 𝟒𝟒 = √𝟓𝟓 √𝟑𝟑 = 𝟓𝟓 −𝟐𝟐√ 𝟒𝟒 𝟓𝟓 = 𝟐𝟐√𝟑𝟑 √𝟏𝟏𝟏𝟏 = 𝟖𝟖 − √ 𝟕𝟕 𝟑𝟑√ 𝟕𝟕 = Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.2.3.1
- 2. UNIT 02 October 𝟐𝟐 − √𝟐𝟐 𝟒𝟒 + √𝟐𝟐 = 6. Simplify 𝟓𝟓 𝟐𝟐√𝟑𝟑 − √𝟐𝟐 = −𝟏𝟏 + 𝟑𝟑√𝟐𝟐 √𝟏𝟏𝟏𝟏 + √𝟑𝟑 = 𝟔𝟔 + √𝟐𝟐 √𝟔𝟔 + 𝟐𝟐√𝟑𝟑 = −√𝟏𝟏𝟏𝟏 𝟐𝟐√𝟐𝟐 + √𝟔𝟔 = 7. Rationalize: 𝟖𝟖 𝟑𝟑√𝟖𝟖 𝟒𝟒 = √𝟓𝟓 − 𝟒𝟒 √𝟔𝟔 = 𝟒𝟒 √𝟑𝟑 − 𝟓𝟓√ 𝟕𝟕 = −𝟏𝟏 √𝟐𝟐 − √𝟓𝟓 = Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.2.3.2
- 3. UNIT 02 October 8. Write in Standard form: a) Earth-Moon´s Distance: 384,000 km b) Earth-Neptune´s Distance: 4,308,000,000 km c) Earth Surface: 150,000,000 km2 d) A Light-year: 9,460,000,000,000 km e) Distance from observable universe: 25,000 light-years. 9. Write in Standard form: a) Electron´s Diameter: 0.0000000003 m. b) Virus´ Length: 0.0000000022 m. c) Proton´s Radius: 0.00000000005 m. d) Staphylococcus´ Mass: 0.0000001 g. 10. Look for the Proton´s Mass and express it in standard form: Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.2.3.3