BCT 105 MODULE 102
347.88 m2 15.6 × 22.3 = 347.88
Calculate the area of a rectangle that is 15.6 meters × 22.3 meters. 75.8 m3 75.8 m2 347.88 m2 347.88 m3
16 ft and 25 ft
English/metric measuring tapes commonly come in ______ lengths.
1 cubic yard = 27 cubic feet
How many cubic feet are there in 1 cubic yard?
Divisor
In a division problem, the number that is divided into another number is called the divisor. For example, in the problem 16 ÷ 8 = 2, 8 is the divisor.
Negative numbers
Numbers less than zero. For example, -1, -2, and -3 are negative numbers.
180' 212-32=180. On the Fahrenheit scale, water freezes at 32°F and boils at 212°F. On the Celsius scale, water freezes at 0°C and boils at 100°C.
On the Fahrenheit temperature scale, the difference between the freezing and boiling points of water is _________.
inch-pound system
The English ruler is used by people who use the _______.
Remainder
The amount left over in a division problem. For example, in the problem 34 ÷ 8, 8 goes into 34 four times (8 × 4 = 32) with 2 left over, so the remainder is 2
Area
The amount of space contained in a two-dimensional object, such as a rectangle, circle, or square.
Volume
The amount of space contained within a three-dimensional space.
Circumference
The distance around the curved line that forms the circle.
perimeter
The distance around the outside of a closed shape, such as a rectangle, circle, square, or any irregular shape is the _______.
Perimeter
The distance around the outside of a closed shape, such as a rectangle, circle, square, or any irregular shape.
Numerator
The part of a fraction above the dividing line. For example, the 1 in 1⁄2 is the numerator. It is equivalent to the dividend in a long division problem.
denominator
The part of a fraction below the dividing line. For example, the 2 in 1⁄2 is the denominator. It is equivalent to the divisor in a long division problem.
Decimal
The part of a number represented by digits to the right of a point, called a decimal point. For example, in the number 1.25, .25 is the decimal portion of the number. In this case, it represents the fraction 25⁄100.
To the left
When converting from a smaller metric unit to a larger one, the decimal point must move _________.
obtuse angle
An angle of 105° is a(n) _________.
Adjacent angles
Angles that have the same vertex and one side in common.
Square
(1) A special type of rectangle with four equal sides and four 90° angles. (2) The product of a number multiplied by itself. For example, 25 is the square of 5; 16 is the squareof 4.
3/2 - 5/16 = 24/16 - 5/16 = 19/16
1-1⁄2 - 5⁄16 = _________.
12/16 + 7/8 = 1-5/8
12⁄16 + 7⁄8 = _________.
1⁄6 × 1⁄2 = 1/12
1⁄6 × 1⁄2 = _________.
Straight angle
A 180° angle or flat line.
Circles
A closed curved line drawn at a constant distance around a central point. A circle measures 360°.
Triangle
A closed shape that has three sides and three angles.
Mixed number
A combination of a whole number with a fraction or decimal. Examples of mixed numbers are 3 7/16 and 1 1/4.
700 + 520 + 230 = 1,450
A contractor estimates $700 for lumber, $520 for roofing shingles, and $230 for hardware for a roofing bid. What is the total cost for the materials?
Rectangle
A four-sided shape with four 90° angles. Opposite sides of a rectangle are always parallel and the same length. Adjacent sides
Improper fraction
A fraction whose numerator is larger than its denominator. For example, 6∕3 is an improper fraction.
Pi
A mathematical constant value approximately equal to 3.14 (or 22⁄7) used to determine the area and circumference of circles. It is sometimes symbolized bythe Greek letter π.
Formula
A mathematical process used to solve a problem. For example, the formula for finding the area of a rectangle is Side A times Side B = Area, or A × B = Area.
Equation
A mathematical statement indicating that the value of two mathematical expressions, such as 2 × 2 and 1 × 4, are equal. An equation is written using the equal sign in this manner: 2 × 2 = 1 × 4.
Fraction
A portion of a whole number represented by two numbers. The upper number of a fraction is called the numerator, while the bottom number is called the denominator.
Force
A push or pull on a surface. In this module, a force is the weight of an object or a fluid.
Unit
A standardized quantity used for a particular kind of measurement.
Cube
A three-dimensional object whose sides are all the same length is a _______.
Cube
A three-dimensional object whose sides are all the same length.
Multiplying and Dividing Whole Numbers 100 ÷ 15 = 7
A trainee needs 100 special fasteners. The fasteners come in bags of 15. How many bags will the trainee need?
Equilateral triangle
A triangle that has three equal sides and three equal angles.
Isosceles triangle
A triangle that has two equal sides and two equal angles.
Right triangle
A triangle that includes one 90° angle.
Scalene triangle
A triangle with sides of unequal lengths.
Degree
A unit of measurement for angles. For example, a right angle measures 90°.
Stud
A vertical support inside a wall to which the wall finish material attaches. The base of a stud rests on a horizontal baseplate, and a horizontal cap plate rests on top of a series of studs.
Right angle
An angle that measures 90°. The two lines that form a right angle are perpendicular to each other. This is the angle most used in the crafts.
Acute angle
Any angle greater than 0° and less than 90°.
Obtuse angle
Any angle greater than 90° and less than 180°.
Digit
Any of the numerical symbols 0 to 9.
Base
As it relates to triangles, the base is the line forming the bottom of the triangle.
704 ft3 32 × 11 × 2 = 704
Calculate the volume of a shipping container that is 32' long × 11' wide × 2' deep. 704 ft2 704 ft3 352 ft3 320 ft2
Loadbearing
Carrying a significant amount of weight and/or providing necessary structural support. A loadbearing wall typically carries some portion of the roof's weight and cannot be removed without risking structural failure or collapse.
Whole numbers
Complete number units without fractions or decimal.
Equivalent fractions
Fractions having different numerators and denominators but still having equal values, such as the fractions 1⁄2 and 2⁄4.
Multiplying and Dividing Whole Numbers (10 feet × 12 inch/feet) × (2 feet ×12 inch/feet) ÷ (6 inch x 12 inch) = 40
How many concrete blocks with a height of 6", width of 6", and length of 12" are required to erect a 2' high, 10' long wall?
Dividend
In a division problem, the number being divided is the dividend. For example, in the problem 16 ÷ 8 = 2, 16 is the dividend.
Joists
Lengths of wood or steel that usually support floors, ceilings, or a roof are called _______.
Joists
Lengths of wood or steel that usually support floors, ceilings, or a roof. Roof joists will be at the same angle as the roof itself, while floor and ceiling joists are usually horizontal.
Diagonal
Line drawn from one corner of a rectangle or square to the farthest opposite corner.
True
Metric-only tapes are common outside of the United States. True or False
MDAS
Multiplication, division, addition, subtraction
Positive numbers
Numbers greater than zero. For example, 1, 2, and 3 are positive numbers. Except for zero, any number without a negative (-) sign in front of it is treated as a positive number.
Radius
The distance from a circle's center point to any point on the curved line, or half the width (diameter) of the circle.
diameter
The formula for finding circumference is pi (3.14) × _________. radius area diameter radius × 3
45/32 = 1 13⁄32.
The improper fraction 45⁄32 converts to the mixed number 1 13⁄32.
Diameter
The length of a straight line that crosses from one side of a circle, through the center point, to a point on the opposite side. The diameter is the longest straight line that can be drawn inside a circle.
Solid geometry
The mathematical study of three-dimensional shapes.
Plane geometry
The mathematical study of two-dimensional (flat) shapes.
Vertex
The point at which two or more lines or curves come together.
Mass
The quantity of matter present.
Quotient
The result of a division problem. For example, when dividing 6 by 2, the quotient is 3.
Product
The result of a multiplication problem. For example, the product of 6 × 6 is 36.
Sum
The result of an addition problem. For example, in the problem 7 + 8 = 15, 15 is the sum.
Difference
The result of subtracting one number from another. For example, in the problem 8 - 3 = 5, 5 is the difference between the two numbers.
Angle
The shape made by two straight lines coming together at a point. The space between those two lines is measured in degrees.
Place Value
The value that a digit represents in a whole number, determined by its place within the whole number or by its position relative to the decimal point. In the number 124, the number 2 represents 20, since it is in the tens position.
Bisect
To divide into two equal parts. For example, when an angle is bisected, the two resulting angles are equal.
Invert
To reverse the order or position of numbers. In fractions, inverting means reversing the positions of the numerator and denominator, so 3⁄4 becomes 4⁄3. When dividing by fractions, one fraction is inverted.
Opposite angles
Two angles that are formed by two straight lines crossing. They are always equal.
loadbearing
Walls that carry a significant amount of weight and/or provide necessary structural support are called _______.
35 FEET, 12X2 +23X2=70
What is the distance around a rectangular room with two walls measuring 12 feet and two walls measuring 23 feet?
Finding Equivalent Fractions 1⁄4 = 8/32
Which of the following fraction pairs are equivalent fractions? 1⁄4 and 8⁄32 1⁄4 and 32⁄64 1⁄4 and 3⁄8 1⁄4 and 42⁄128
Weight
______ is the force that an object exerts on a surface due to its mass and the pull of the Earth's gravity.