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Third Grade Math Vocabulary Addend – any of the numbers that is added. 2+3=5 addend addend Properties of addition: *Identity Property-states that when you add zero to a number, the result is that number. Example 7+0 =7 *Commutative property of addition- states that you can add two numbers in any order and get the same sum. Example 6 + 4 = 10 and 4 + 6 = 10 *Associative property- states that you can group addends in different ways & still get the same sum. Example (2+3)+1 = 2 + (3+1) Place value – the value of each digit in a number, based on the location of the digit. decimal – a number with one or more digits to the right of of the decimal point. Array – an arrangement of objects in rows and columns. column row Factor – a number that is multiplied by another number to find the product. This array represents 2 X 4 = 8 Product – the answer for a multiplication problem. Properties of Multiplication •Associative property – states that when the grouping of factors is changed, the product remains the same. Example (3 X 4) X 2 = 3 X (4 X 2) •Commutative property – states that you can two factors in any order and get the same product. Example 4 X 7 = 28 and 7 X 4 = 28 •Identity property – states that the product of any number and one is that number. Example 5 X 1 = 5 •Distributive property – states that multiplying a sum by a number is the same as multiplying each addend by the number, and then adding the products. Example 3 X (4 + 2) = (3 X 4 ) + (3 X 2) 3 X 6 = 12 + 6 18 = 18 Inverse Operations – opposite operations, or operations that undo each other, such as addition and subtraction or multiplication and division. *subtraction checks addition. 434 +123 557 557 -123 434 * multiplication checks division 14 ÷ 7 = 2 because 7 X 2 = 14 What is division? Divide – to separate into equal groups; the opposite operation of multiplication. remainder Dividend – the number that is to be divided Divisor- the number that divides the dividend. Remainder – the amount left over when a number cannot be divided evenly. Fraction- a number that names parts of a whole or part of a group. 1/3 Numerator – the part of a fraction above the line, which tells how many parts are being counted. Denominator – the part of a fraction below the line, which tells how many equal parts there are in the whole or in the group. Triangles Scalene – a triangle in which no sides are equal. Isosceles – a triangle in which two sides are equal. Equilateral – a triangle that has three equal sides. Area – the number of square units needed to cover a flat surface. Example : You can find area by counting the boxes. Area = 12 Or you can find area by using a formula. Area = l x w Area = 4 x 3 Area = 12 Perimeter – is (“The fence around the playground!”) the distance around a figure. You can find perimeter by counting the outside edges. Or you can find perimeter by using a formula. P = s + s + s + s P=8+4+8+4 P = 24