Examples for

Common Core Math: High School Number & Quantity: Real Numbers

The real number system, often denoted , contains whole numbers, negative numbers, fractions and everything in between. Real numbers can be separated into two distinct sets: rational numbers and irrational numbers. Rational numbers are numbers that can be written as ratios of integers (such as -7, 42, 3/4 and 99/100). Irrational numbers are real numbers that are not rational numbers (such as π and 2). In high school, students combine rational and irrational numbers with arithmetic operations and exponents.

Common Core Standards

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CCSS.Math.Content.HSN-RN.B.3
common core grade 10 rn.a.2

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real numbers common core standards

Rational & Irrational Numbers

Apply properties of rational and irrational numbers.

Explore the results of combining rational and irrational numbers (CCSS.Math.Content.HSN-RN.B.3):

rational number + rational number
irrational number - integer
irrational number * rational number

Rational Exponents

Interpret and compute with rational exponents.

Compute with rational exponents (CCSS.Math.Content.HSN-RN.A.2):

3^(1/2)
16^(1/4) + 9^(1/2)
5 * 2^(3/2)
(4^(1/3))^3
sqrt(5) * (sqrt(5) + sqrt(3))
(square root of 3) * (cube root of 3)

RELATED EXAMPLES

  • Common Core Math: Complex Numbers
  • Common Core Math: Quantities
  • Common Core Math: Vectors & Matrices