← Noviq Academy
Math · Beginner · Free
Pre-Algebra
Number sense, fractions, exponents and more, with practice that checks every answer.
A complete, interactive pre-algebra course: number sets, signed numbers, factors and multiples, fractions, decimals, ratios and units, exponents, radicals and scientific notation. Every lesson has worked examples you step through, tools you can play with, and unlimited practice problems with instant feedback and full solutions.
- 39 lessons
- About 450 minutes
- 21 worked examples
- 53 unlimited practice sets
- 13 interactive tools
- 16 quiz questions
No sign-up needed. Your progress is saved on this device.
Course outline
0 of 39 lessons complete
Module 1 · Numbers and number sets
- 1Number setsNatural, whole, integer, rational, irrational and real numbers, and how they nest.12 min
- 2Identity numbers0 is the identity for addition and 1 is the identity for multiplication.6 min
- 3Opposites and absolute valueUse the number line to find a number's opposite and its distance from 0.10 min
Module 2 · Signed numbers
- 4Adding and subtracting signed numbersRules for every combination of positive and negative numbers.16 min
- 5Multiplying and dividing signed numbersSame signs give a positive answer; different signs give a negative answer.12 min
- 6Absolute value of an expressionWork out what's inside the bars first, then take the absolute value.8 min
Module 3 · Factors and multiples
- 7Divisibility and divisibility rulesTell whether one number divides another without doing the division.14 min
- 8MultiplesMultiples and divisibility are two sides of the same idea.8 min
- 9Prime and composite numbersEvery whole number above 1 is either prime or composite.12 min
- 10Prime factorizationBreak any composite number into a product of primes.12 min
- 11Least common multiple (LCM)The smallest number both numbers divide into.12 min
- 12Greatest common factor (GCF)The largest number that divides into both numbers.10 min
Module 4 · Fractions
- 13What a fraction meansPart of a whole, a division, and what percent means.10 min
- 14Simplifying and equivalent fractionsReduce to lowest terms, build equivalent fractions, and why 0 can't be on the bottom.16 min
- 15Adding and subtracting fractionsSame denominators combine directly; different ones need a common denominator.16 min
- 16Multiplying and dividing fractionsMultiply straight across; to divide, multiply by the reciprocal.12 min
- 17Signs of fractions and reciprocalsEvery fraction has three signs, and every nonzero number has a reciprocal.12 min
- 18Mixed numbers and improper fractionsSwitch between 2 3/7 and 17/7.12 min
- 19Operations with mixed numbersAdd, subtract, multiply and divide mixed numbers.16 min
- 20Comparing fractions and finding numbers betweenWhich fraction is bigger, and how to find a point part of the way between two numbers.12 min
Module 5 · Place value and decimals
- 21Place valueWhat each digit is worth, on both sides of the decimal point.12 min
- 22Decimal arithmeticLine up the points to add and subtract; count places to multiply; shift to divide.16 min
- 23Repeating decimalsWrite a decimal that repeats forever with a bar.8 min
- 24RoundingRound to any place, left or right of the decimal point.10 min
Module 6 · Ratios, rates and units
Module 7 · Exponents
- 29ExponentsA short way to write repeated multiplication.10 min
- 30Product and quotient rulesMultiplying same bases adds exponents; dividing subtracts them.12 min
- 31The power ruleA power raised to a power: multiply the exponents.8 min
- 32Negative and zero exponentsx⁰ = 1 and a negative exponent means one over.12 min
Module 8 · Radicals
Module 9 · Powers of 10 and scientific notation
- 36Powers of 10Multiplying or dividing by 10, 100, 1,000 just moves the decimal point.10 min
- 37Scientific notationWrite very big and very small numbers as a × 10ⁿ.12 min
- 38Multiplying and dividing in scientific notationWork with the decimal parts and the powers of 10 separately.14 min
- 39Estimating with scientific notationRound the decimal parts to get a quick, close answer.10 min