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Questions and Answers
What are rational numbers?
What are rational numbers?
- Numbers that can be written in the form $a + bi$ where $a$ and $b$ are real numbers and $i$ is the imaginary unit
- Numbers that can be written in the form $\frac{a}{b}$ where $a$ and $b$ are integers and $b \neq 0$ (correct)
- Numbers that can be written as a ratio of two prime numbers
- Numbers that can only be positive
What are integers?
What are integers?
- Numbers that are always positive
- Numbers that can be written without a fractional component and can be negative, zero, or positive (correct)
- Numbers that can only be negative
- Numbers that include fractions
What arithmetic operations will 7th graders learn to perform on rational numbers?
What arithmetic operations will 7th graders learn to perform on rational numbers?
- Exponents and radicals
- Multiplication and division
- Logarithms and derivatives
- Addition and subtraction (correct)
What is the set of all rational numbers?
What is the set of all rational numbers?
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What is the definition of integers?
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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