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Chapter 10 Vocab
Multiplication and Other Operations Vocab.
Word | Definition | Example |
---|---|---|
Repeated Addition Property of Multiplication | If n is a positive interger, then nx= x+x+x+.......+x. n addends. | x+x+x+x+x+=5x |
Like terms | These numbers can be simplified into a single number. | 12y+y+2y=15y |
Unlike terms | These numbers cannot be simplified by a single number. | 12x + 6y |
Multiplication Property of Equality | If x=y, then ax=ay. | x=y, x=5, a=2, ay=ax |
Equation of the form ax+b=c | In this equation, the unknown w is multiplied by a number. Then a second number is added. | 3w+5=20 |
Distributive Property of Multiplication over Addition | For any numbers a, b, and x, ax+bx+=(a+b)x and x(a+b)= xa+xb. | 7*9+12*9= 9*(7+12) |
Distributive Property of Multiplication over Subtraction | For any numbers a, b, and x, ax-bx= (a-b)x and x(a-b)= xa-xb. | 7*3.98= 7(4-.02) |
Net | A plane pattern for a 3-dimensional figure. | n/a |
Surface Area | The surface area of a rectangular solid is the sum of the areas of its faces. | n/a |
Numerically equal | When the area and perimeter of a figure are equal. | If the area of a rectangular solid is 6cm*3cm=18cm, and the perimeter is 6cm+3cm+6cm+3cm=18cm |
Acre | A unit of measure that is used to measure land area. | Farms are measured in acres, 640 acres=1 square mile |
Height | The perpendicular distance from any vertex of a triangle to the side opposite that vertex. Also the distance between the bases of the trapezoid. | n/a |
Altitude | The perpendicular segment from a vertex of a triangle to the opposite side of the triangle. Same as height for the trapezoid. | n/a |
Base of a triange | The side of a triangle perpendicular to the altitude. | n/a |
Area Formula for Any Triangle | Let b be the length of a side of a triangle with area A. Let h be the length of a altidute drawn to that side. Then A=1/2 bh. | If base is 20, and height is 15, then A=1/2 20*15=150 square units |
Trapezoid | A quadrilateral with at least one pair of parallel sides. | n/a |
Area Formula for a Trapezoid | Let A be the area of a trapezoid with bases b1 and b2 and height h. Then A=1/2 *h(b1+ b2). | (blank) |
Base of a trapezoid | The parallel sides of a trapezoid. | n/a |