mathematics Flashcards
what formula is used to find the area of a cirlce
what formula is used to find the area of a rectangle
what formula is used to find the area of a triangle
what formula is used to find the volume of a cylinder
what formula is used to find the volume of a rectangular solid
what is meant by the root of a number
the root of a number is one of two or more equal numbers, that when multiplied together, will produce the number
what is an angle
a figure formed by two lines radiating from a common point
what is meant by a right angle
an angle of 90
what is an obtuse angle
an angle greater than 90 but less than straight line
what is an acute angle
an angle between 0-90
what is a quadrant
1/4 of circle
what is a sector
the portion of a circle bund by two radii and one of the intercepted arcs
what is a polygon
a closed figure having three or more sides
what is an acute triangle
a triangle with 3 acute angle
what is an obtuse triangle
a triangle with one obtuse angle
what is a right triangle
a triangle containing a 90 angle
what is an equilateral triangle
a triangle with 3 equal sides
what is an isosceles triangle
a triangle with 2 equal sides
what is a scalene triangle
a triangle in which no two sides are equal
what is the hypotenuse of a right triangle
the side opposite the right angle
what is a quadrilateral
a polygon having 4 sides
what is a parallelogram
a closed 4 sided figure in which the opposite sides are parallel
what is a trapizoid
a closed four sided figure in which only one pair of opposite sides are parallel
what is a hexagon
a closed figure with 6 equal sides
what is the significance of the constant pi
pi is the constant amount the circumference of a circle greater than its diameter
what is the value of the constant pi
pi=3.1416
what is meant by a ratio and how is a ration expressed
a fraction that compares one number to another, for example, 6:2
what is meant by a proportion
a statement of equality between two ratios; for example 2/b=b/c is a proportions
what is meant by a percentage
a fraction having 100 as the denominator, for example; 65%= 65/100
what is the square root of 4,096
64
what is the square of 99
9,801
what is the cube of 5
125
what is the cube root of 1000
10
what is 50 gallon converted to liters
189.3 liters
what is 25 kilos converted to pounds
55 pounds
what is the base in the following expression: 10^3
10
what is the exponent in the following expression; 10^3
3
what is meant by scientific notation
a method of wiring very large or very small number by using powers of 10
how do you write 56,000,000 in scientific notation
when converting standard notation to scientific notation, move the decimal to the left or right until there is one non-zero integer on its left. if you moved the decimal to the left, you’ll multiply by ten times the number you moved it to the left, so 56,000,000 would be 5.6 X 10^7
how do you write 0.00000096 in scientific notatio
9.6 x 10^-7
what is 57,435 rounded to the nearest 100
57,400
what is 3.141592 rounded to the nearest thousandth decimal point
3.142
what is the eighth power of 2
256
what is the official system of measurement used throughout the world, especially in scientific notation
the metric system
what is meant by a negative number
a number less than 0, or a number preceded by a minus (-) sign
what steps are used to add signed numbers
- add all numbers having a plus sign
2.add all numbers having a minus sign - of these wanders, subtract the smaller from the larger. the sign of the awnser will be of the larger number
what steps are used to subtract signed numbers
- change the sign of the subtrahend (the number that is being subtracted)
- if the sign are alike, add the two numbers and attach the common sign
- if the signs are different, subtract the smaller from the larger and give the answer the sign of the larger
what steps are used to multiply signed numbers
- multiply the numbers, disregarding the signs
- fi the signs of the 2 numbers are alike, the sign of the awnser is positive
3.if the sign of the 2 numbers are not alike, the sign of the awner is negative
what steps are used to divide signed numbers
1.disregard the signs and divide as though the numbers had no sign
2. if the signs of the two numbers are alike, the sign of the awnser is positive
3. if the sign of the 2 numbers are not alike, the sign of the awnser is negative
what is the precedence of operations when solving an algebraic equation
- grouped expressions, such as parenthesis and radical expressions(Square roots)
2.exponents
3.multiplication and division
4.addition and subtraction
what is the sum of (+6)+(+12)
18
what is the sum of (+6)+(-12)
-6
what is the difference between (+6)-(+12)
-6
what is the difference between (-6)-(+12)
18
what is the difference between (-6)-(-12)
6
what is the product of (-6) x (-12)
72
what is the product of (-6) x (+12)
-72
what is the quotient of (-6) / (+12)
-1/2
what is the quotient of (-6) / (-12)
1/2
