Lesson 484 of 1524
Prerequisites
The rational numbers and irrational numbers make up the set of real numbers..
Practice this chapterThe rational numbers and irrational numbers make up the set of real numbers.. Algebraic expressions are composed of constants and variables that are combined using addition, subtraction, multiplication, and division..
They take on a numerical value when evaluated by replacing variables with constants Rational numbers may be written as fractions or terminating or repeating decimals
distributive property — the product of a factor times a sum is the sum of the factor times each term in the sum; in symbols, a ⋅ ( b + c ) = a ⋅ b + a ⋅ c. irrational numbers — the set of all numbers that are not rational; they cannot be written as either a terminating or repeating decimal; they cannot be expressed as a fraction of two integers. rational numbers — the set of all numbers of the form m n , where m and n are integers and n ≠ 0. Any rational number may be written as a fraction or a terminating or repeating decimal. order of operations — a set of rules governing how mathematical expressions are to be evaluated, assigning priorities to operations.
Be able to determine whether a number is rational or irrational by writing it as a decimal.
Worked example
What does “distributive property” mean in Prerequisites?
- 1Use the wording this chapter gives for distributive property.
- 2The book says: the product of a factor times a sum is the sum of the factor times each term in the sum; in symbols, a ⋅ ( b + c ) = a ⋅ b + a ⋅ c.
- 3Do not use the meaning of irrational numbers. That term means the set of all numbers that are not rational; they cannot be written as either a terminating or repeating decimal; they cannot be expressed as a fraction of two integers.
Result: the product of a factor times a sum is the sum of the factor times each term in the sum; in symbols, a ⋅ ( b + c ) = a ⋅ b + a ⋅ c
Why. That is the meaning this chapter gives for distributive property.
Do not swap distributive property and irrational numbers. distributive property means the product of a factor times a sum is the sum of the factor times each term in the sum; in symbols, a ⋅ ( b + c ) = a ⋅ b + a ⋅ c. irrational numbers means the set of all numbers that are not rational; they cannot be written as either a terminating or repeating decimal; they cannot be expressed as a fraction of two integers.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.