Pre-Algebra

Integers and Rational Numbers flashcards

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What does “Signed Numbers and Opposites” mean?Positive and Negative Numbers
Two numbers whose sum is zero and whose positions mirror across zero.
What important condition applies to signed numbers and opposites?Positive and Negative Numbers
A larger negative magnitude represents a smaller signed value.
What does “Absolute Value” mean?Positive and Negative Numbers
A number’s distance from zero on the number line.
What important condition applies to absolute value?Positive and Negative Numbers
Absolute value is always nonnegative.
What does “Adding Signed Numbers” mean?Operations with Integers
Combining positive and negative changes into one signed result.
What important condition applies to adding signed numbers?Operations with Integers
Subtracting a negative adds its positive opposite.
What does “Multiplying Signed Numbers” mean?Operations with Integers
A product whose sign follows the signs of its factors.
What important condition applies to multiplying signed numbers?Operations with Integers
The sign rule does not make division by zero valid.
What does “Adding Fractions” mean?Fractions Decimals and Rational Numbers
Combining quantities expressed as equal-sized fractional parts.
What important condition applies to adding fractions?Fractions Decimals and Rational Numbers
Do not add denominators when adding fractions.
What does “Dividing Fractions” mean?Fractions Decimals and Rational Numbers
Finding a quotient by multiplying by the reciprocal of a nonzero divisor.
What important condition applies to dividing fractions?Fractions Decimals and Rational Numbers
Flip the divisor, not the dividend.
What does “Multiplying Fractions” mean?Fractions Decimals and Rational Numbers
Taking a fractional share using a product of numerators and denominators.
What important condition applies to multiplying fractions?Fractions Decimals and Rational Numbers
Multiplying by a number between zero and one reduces a positive quantity.
What does “Fractions and Decimal Notation” mean?Fractions Decimals and Rational Numbers
Two notations for the same rational quantity.
What important condition applies to fractions and decimal notation?Fractions Decimals and Rational Numbers
Not every rational decimal terminates; some repeat.