Unit 7: Understand Operations with Fractions and Decimals

Vocabulary

Fraction: How many parts of a whole:
- The top number (the numerator) says how many parts we have.
- The bottom number (the denominator) says how many equal parts the whole is divided into
Area Model: A model where fractions are represented as parts of an area or region
Number Line: A line with numbers placed in their correct position.
Addition: Finding the total, or sum, by combining two or more numbers.
Addend: Any of the numbers that are added together. Example: In 8 + 3 = 11, the 8 and the 3 are addends.
Sum (Total): The result of adding two or more numbers.
Mixed Number: A whole number and a fraction combined into one "mixed" number.
- Example: 1½ (one and a half) is a mixed number.
- Also called a Mixed Fraction.
Improper Fraction: A fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
- So it is usually "top-heavy".
- Example: 5/3 (five thirds) and 9/8 (nine eighths) are improper fractions.
Multiplication: repeated addition
Product: The answer when two or more values are multiplied together.
Equivalent Fraction: Fractions which have the same value, even though they may look different.
- Example 1/2 and 2/4 are equivalent, because they are both "half"
Subtraction: Taking one number away from another.
Difference: The result of subtracting one number from another. How much one number differs from another.
Decimal: "Decimal number" is often used to mean a number that uses a decimal point followed by digits that show a value smaller than one.
- Example: 45.6 (forty-five point six) is a decimal number.
Equivalent: Having the same value.
Tenths: One part in ten equal parts. Example: one tenth of 50 is 5
Hundredths: One part in a hundred equal parts. 1/100th