Questions and Answers
What are rational numbers?
Numbers that can be written in the form $\frac{a}{b}$ where $a$ and $b$ are integers and $b \neq 0$
What are integers?
Numbers that can be written without a fractional component and can be negative, zero, or positive
What arithmetic operations will 7th graders learn to perform on rational numbers?
Addition and subtraction
What is the set of all rational numbers?
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What is the definition of integers?
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Study Notes
Rational Numbers
- A rational number is a number that can be expressed as the quotient or fraction of two integers, such as 3/4 or 22/7.
- Rational numbers can be expressed as a finite decimal or a repeating decimal.
Integers
- An integer is a whole number, either positive, negative, or zero, without a fractional part, such as 5, 0, or -3.
- Integers can be expressed as a whole number, either with a plus sign (+) or a minus sign (-), or without a sign.
Arithmetic Operations on Rational Numbers
- 7th graders will learn to perform addition, subtraction, multiplication, and division on rational numbers.
- These operations will involve adding, subtracting, multiplying, and dividing fractions, decimals, and mixed numbers.
Set of Rational Numbers
- The set of all rational numbers is denoted by the symbol Q.
- The set Q includes all numbers that can be expressed as a fraction, decimal, or mixed number.
Definition of Integers
- The set of integers is denoted by the symbol Z.
- The set Z includes all whole numbers, either positive, negative, or zero, without a fractional part.
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