Key takeaway: Number and operations terms describe kinds of numbers and how to compute with them, from reciprocals and integers to irrational numbers, rational exponents and complex numbers.
These number and operations terms trace how the idea of a number grows through middle and high school: whole numbers and fractions, then negative numbers, then irrational numbers, and finally complex numbers. Along the way come the tools to compute with them, such as exponents, roots and the order of operations.
The list is sorted by grade, so you can follow the path from sixth grade to Precalculus.
35 terms on this page, each with a definition, a figure and a worked example.
Number and Operations Terms: the full list
Grade 6
- Absolute Value 6.NS.C.7
- Dividing Fractions 6.NS.A.1
- Exponent 6.EE.A.1
- Greatest Common Factor (GCF) 6.NS.B.4
- Integer 6.NS.C.5
- Least Common Multiple (LCM) 6.NS.B.4
- Long Division 6.NS.B.2
- Opposite Numbers 6.NS.C.6a
- Order of Operations (PEMDAS) 6.EE.A.2c
- Prime Factorization 6.NS.B.4
- Quotient 6.NS.B.2
- Rational Number 6.NS.C.6
- Reciprocal 6.NS.A.1
Grade 7
- Additive Inverse 7.NS.A.1a
- Complex Fraction 7.RP.A.1
- Integer Rules 7.NS.A.1
- Repeating Decimal 7.NS.A.2d
- Terminating Decimal 7.NS.A.2d
Grade 8
- Cube Root 8.EE.A.2
- Exponent Rules 8.EE.A.1
- Irrational Number 8.NS.A.1
- Negative Exponent 8.EE.A.1
- Perfect Square 8.EE.A.2
- Real Numbers 8.NS.A.1
- Scientific Notation 8.EE.A.3
- Square Root 8.EE.A.2
- Zero Exponent 8.EE.A.1
Grade 9 – Algebra 1
- Rational Exponents N-RN.A.1
- Simplifying Radicals N-RN.A.2
Grade 11 – Algebra 2
- Complex Conjugate N-CN.A.2
- Complex Number N-CN.A.1
- Imaginary Unit (i) N-CN.A.1
- nth Root N-RN.A.2
Grade 12 – Precalculus
- De Moivre's Theorem N-CN.B.5
- Polar Form of a Complex Number N-CN.B.4

