Number Systems

This chapter will help you prepare all the concepts of Number Systems. You will learn different concepts such as Rational Numbers, Irrational Numbers, Number Line, Operations on Real numbers, and Exponents of Real Numbers.

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Created by School Prep . Last updated Mon, 15-Feb-2021 English
Curriculum for this course
49 Lessons 04:16:02 Hours
Rational numbers on the number line
6 Lessons
  • Fractions on a number line 00:13:23
  • Fractions on number line widget 00:00:59
  • Plotting basic fractions on the number line 00:06:06
  • Decimals & fractions on the number line 00:07:07
  • Evaluating quotient of fractional exponents 00:02:59
  • Quiz 1 00:00:00
  • Rational number between two rational numbers 00:03:58
  • Quiz 2 00:00:00
  • Comparing rational numbers 00:03:59
  • Worked example: Converting a fraction to a decimal 00:08:30
  • Quiz 3 00:00:00
  • Adding and subtracting fractions 00:11:04
  • Adding & subtracting rational expressions: like denominators 00:13:14
  • Quiz 4 00:00:00
  • Converting a fraction to a repeating decimal 00:05:14
  • Converting repeating decimals to fractions 00:21:10
  • Quiz 5 00:00:00
  • Intro to rational & irrational numbers 00:06:24
  • Classifying numbers: rational & irrational 00:07:45
  • Classifying numbers 00:07:58
  • Quiz 6 00:00:00
  • Comparing irrational numbers with radicals 00:08:18
  • Approximating square roots to hundredths 00:14:43
  • Quiz 7 00:00:00
  • Proof: sum of two rationals is rational 00:06:43
  • Proof: product of rational & irrational is irrational 00:04:24
  • Proof: sum of rational & irrational is irrational 00:05:59
  • Sums and products of irrational numbers 00:09:38
  • Classifying rational expressions 00:09:41
  • Quiz 8 00:00:00
  • Addition 00:03:40
  • Multiplication 00:02:11
  • Division 00:03:32
  • Simplification of irrational numbers 00:02:33
  • Quiz 9 00:00:00
  • Rationalisation 00:10:18
  • Quiz 10 00:00:00
  • Intro to rational exponents 00:05:40
  • Rewriting roots as rational exponents 00:01:34
  • Solving Exponential equation 00:16:36
  • Quiz 11 00:00:00
  • Evaluating fractional exponents 00:11:32
  • Evaluating fractional exponents: negative unit-fraction 00:02:55
  • Evaluating fractional exponents: fractional base 00:02:37
  • Evaluating quotient of fractional exponents 00:01:46
  • Evaluating mixed radicals and exponents 00:11:52
  • Quiz 12 00:00:00
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