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Arithmetic

Numbers, fractions, percentages and the order of operations.

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Introductory Order of operations Brackets, powers, multiply/divide, add/subtract, and why the order is not optional. 3 + 4 * (2 - 1)^2 Introductory Fractions Adding, subtracting, multiplying and dividing fractions with a common denominator. 1/2 + 1/3 Introductory Percentages Per cent means per hundred; every percentage problem is a fraction over 100. what is 15% of 80 Introductory Powers and roots Exponent rules and simplifying square roots exactly. sqrt(50)

Arithmetic is where every other branch gets its numbers. Type any calculation and watch it evaluated one operation at a time, brackets first, then powers, then multiplication and division, then addition and subtraction.

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Whole Numbers

Introduction to Whole Numbers Add Whole Numbers Subtract Whole Numbers Multiply Whole Numbers Divide Whole Numbers

Integers

Introduction to Integers Introduction to Integers Add Integers Subtract Integers Multiply and Divide Integers Solve Equations Using Integers; The Division Property of Equality

Fractions

Introduction to Fractions Visualize Fractions Multiply and Divide Fractions Multiply and Divide Mixed Numbers and Complex Fractions Add and Subtract Fractions with Common Denominators Add and Subtract Fractions with Different Denominators Add and Subtract Mixed Numbers Solve Equations with Fractions

Decimals

Introduction to Decimals Decimals Decimal Operations Decimals and Fractions Solve Equations with Decimals Averages and Probability Ratios and Rate Simplify and Use Square Roots

Percents

Introduction to Percents Understand Percent Solve General Applications of Percent Solve Sales Tax, Commission, and Discount Applications Solve Simple Interest Applications Solve Proportions and their Applications

The Properties of Real Numbers

Introduction to the Properties of Real Numbers Rational and Irrational Numbers Commutative and Associative Properties Distributive Property Properties of Identity, Inverses, and Zero Systems of Measurement

Metric Measurement

The Metric System Measuring Area Measuring Volume Measuring Weight Measuring Temperature

Numbers

Arithmetic Fraction Decimal Percentage Ratio Integer Rational number Irrational number Real number Prime number Number line Rounding Scientific notation Unit of measurement

Awọn ẹkọ diẹ ninu awọn wọnyi ni a ṣe atunṣe lati awọn ọrọ ti o ṣii: OpenStax Contemporary Mathematics, OpenStax Prealgebra 2e, Wikipedia. Àwọn ojú-ìwé ìwé-ìwé fún àwọn àwọn ìṣàmúlò-ètò àti àwọn ìṣàmúlò-ètò.

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Why does the order of operations matter?

Because 2 + 3 × 4 would otherwise be two different numbers. The convention (brackets, exponents, multiplication and division, addition and subtraction) exists so every reader gets the same value from the same expression.

How do I check an arithmetic answer?

Estimate first (round every number and compute roughly), then compare. If the estimate and the exact answer disagree by more than a little, one of them is wrong. The solver shows every operation, so you can find which line went astray.

Why are fractions harder than decimals?

They are not harder, they are more exact: 1/3 is a precise number, 0.333 is an approximation. Fractions need a common denominator to add, which is the one extra step people trip on.

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