Mathematics Flashcards
Define square root.
The factor of a number that, when squared, will give the number.
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.
How can you perform math with very small or very large numbers?
Scientific Notation (Powers of 10).
How may 1,000,000 be written?
10 to the 6th power.
What formula is used to find the area of a rectangle?
A = L x W
Area equals length times width.
What formula is used to find the area of a circle?
A = pi x r^2 or, A = 0.7854 x D^2
What is the significance of the constant pi?
Pi is the ratio of the circumference to the diameter of any circle.
What is a trapezoid?
A closed four-sided figure in which only one pair of opposite sides are parallel.
Show two ways a ratio is expressed.
7/8 or 7:8
What is meant by a proportion?
A statement of equality between two ratios; for example, a/b = b/c is a proportion.
Change 0.29 from a decimal into a percent.
29%
What is the rule for dividing fractions?
Reciprocate the divisor and multiply across.
What are the steps for adding or subtracting unlike fractions?
Find the least common denominator and convert the fractions to the same denominator.
What are the steps to convert a fraction to a decimal?
Divide numerator by denominator.
List the steps to convert a fraction to a percent.
Divide numerator by denominator, move decimal place, affix percentage sign.
How do you convert a decimal to its nearest fraction?
Place decimal over denominator equal to decimal length, reduce to simplest form.
Example: 0.38 = 38/100 = 19/50
0.425 = 425/1000 = 17/40
0.7896 = 7896/10000 = 987/1250
What formula is used to find the volume of a cylinder?
V = 0.7854 x d^2 x h or V = pi x r^2 x h
What formula is used to find the volume of a rectangular solid?
V = L x W x H
What formula is used to find the area of a triangle?
A = (B x H)/2
What is the value of the constant pi?
pi = 3.1416
What is the eighth power of 2?
256
What is the square root of 4,096?
64
What is meant by a negative number?
A number less than 0, or a number that is preceded by a minus (-) sign.
What is meant by a ratio and how is a ratio expressed?
A fraction that compares one number to another; for example, 6:2 is a ratio.
What is an angle?
A figure formed by two lines radiating from a common point.
What is a quadrant?
One fourth of a circle.
What is the square of 99?
9,801
What is the cube of 5?
125
What is the cube root of 1,000?
10
What is the base of this expression, 10^3?
10
What is the exponent in this expression, 10^3?
3
What is meant by scientific notation?
A method of writing very large or very small numbers using powers of 10.
What is meant by a right angle?
An angle of 90 degrees.
What is an obtuse angle?
An angle greater than 90 degrees but less than a straight line.
What is an acute angle?
An angle between 0 degrees and 90 degrees.
What is a sector?
The portion of a circle bounded 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 three acute angles.
What is an obtuse triangle?
A triangle with one obtuse angle.
What is a right triangle?
A triangle containing a 90 degree angle.
What is a equilateral triangle?
A triangle with three equal sides.
What is an isosceles triangle?
A triangle with two 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 four sides.
What is a parallelogram?
A closed four-sided figure in which the opposite sides are parallel.
What is a hexagon?
A closed figure with six equal sides.
What is meant by a percentage?
A fraction having 100 as the denominator. For example: 65% = 65/100
