General-Mathematics
What steps are used to add signed numbers?
1. Add all numbers having a plus sign. 2. Add all numbers having a minus sign. 3. Of these answers, subtract the smaller from the larger number. The sign of the answer will be the sign of the larger number.
What steps are used to subtract signed numbers?
1. Change the sign of the subtrahend (the number that is being subtracted). 2. If the signs are alike, add the two numbers and attach the common sign. 3. 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 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 answer is positive. 3. If the signs of the two numbers are not alike, the sign of the answer is negative.
What steps are used to multiply signed numbers?
1. Multiply the numbers, disregarding the signs. 2. If the signs of the two numbers are alike, the sign of the answer is positive. 3. If the signs of the two numbers are not alike, the sign of the answer is negative.
What is the base of this expression, 10³ ?
10
What is the cube root of 1,000 ?
10
What is the cube of 5 ?
125
What is the eighth power of 2 ?
256
What is the exponent in this expression, 10³ ?
3
What is the square root of 4,096 ?
64
What is the square of 99 ?
9801
What is the value of the constant π?
= 3.1416
What formula is used to find the area of a triangle?
A = (B ⋅ H) ÷ 2
What formula is used to find the area of a circle?
A = 0.7854 ⋅ D² or, A = π ⋅ R²
What formula is used to find the area of a rectangle?
A = L ⋅ W
What is a polygon?
A closed figure having three or more sides.
What is a hexagon?
A closed figure with six equal sides.
What is a trapezoid?
A closed four-sided figure in which only one pair of opposite sides are parallel.
What is a parallelogram?
A closed four-sided figure in which the opposite sides are parallel.
What is an angle?
A figure formed by two lines radiating from a common point.
What is meant by a percentage?
A fraction having 100 as the denominator.
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 meant by scientific notation?
A method of writing very large or very small numbers using powers of 10.
What is meant by a negative number?
A number less than 0, or a number preceded by a minus (-) sign.
What is a quadrilateral?
A polygon having four sides.
What is meant by a proportion?
A statement of equality between two ratios; for example, (a/b) = (b/c) is a proportion.
What is a right triangle?
A triangle containing a 90° angle.
What is a scalene triangle?
A triangle in which no two sides are equal.
What is an obtuse triangle?
A triangle with one obtuse angle.
What is an acute triangle?
A triangle with three acute angles.
What is an equilateral triangle?
A triangle with three equal sides.
What is an isosceles triangle?
A triangle with two equal sides.
What is an acute angle?
An angle between 0° and 90°.
What is an obtuse angle?
An angle greater than 90° but less than a straight line.
What is meant by a right angle?
An angle of 90°.
What is a quadrant?
One fourth of a circle.
What is the significance of the constant π?
Pi (π) is the constant amount the circumference of a circle is greater than its diameter.
What is a sector?
The portion of a circle bounded by two radii and one of the intercepted arcs.
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 the hypotenuse of a right triangle?
The side opposite the right angle.
What formula is used to find the volume of a cylinder?
V = 0.7854 ⋅ D² ⋅ H
What formula is used to find the volume of a rectangular solid?
V = L ⋅ W ⋅ H
