4th Grade Vocabulary - Topic 3/4

What are the associative, distributive, and commutative properties of multiplication?

• Associative: a + (b + c) = (a + b) + c
• Distributive: a * b + c = a * (b + c)
• The associative, distributive, and commutative properties of multiplication are: 1) Associative: (a * b) * c = a * (b * c); 2) Distributive: a * (b + c) = (a * b) + (a * c); 3) Commutative: a * b = b * a.
• Commutative: a + b = b + a

What is a numerical expression?

• A numerical expression is a type of graph used in statistics.
• A numerical expression is a combination of numbers and operations that represents a value.
• A numerical expression is a word problem that requires a solution.
• A numerical expression is only a single number.

What is a partial product?

• A partial product is the product of two whole numbers without any digits involved.
• A partial product is the result of adding two numbers together.
• A partial product:

  Find the product of 124 and 3.
  The expanded form of 124 is 100 + 20 + 4. 3 cannot be further expanded.

  1. 100 × 3 = 300 ; 20 × 3 = 60 ; 4 × 3 = 12

  2. 300 + 60 + 12 = 372

• A partial product is the sum of all digits in a number.

What is an array?

• An array is a visual representation of numbers, objects, or pictures arranged in rows and columns..

• An array is a single element.
• An array is a method for sorting data.
• An array is a type of function.

What is an area model?

• An area model is a method for solving equations using algebraic expressions.
• An area model is a type of graph used to display statistical data.
• An area model is a rectangular diagram used in mathematics to solve multiplication problems, in which the factors getting multiplied define the length and width of a rectangle

• An area model is a physical representation of geometric shapes in three dimensions.

What is a compatible number?

• A number that is always a whole number.
• A number that is easy to work with for estimation purposes and numbers that are easy to compute mentally.

• A number that cannot be used for rounding calculations.
• A number that is used only in advanced mathematics.