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Questions and Answers
What is the volume of a 9 inch cube?
What is the volume of a 9 inch cube?
729 cu in
What is 1/3 of a dollar?
What is 1/3 of a dollar?
33 cents
Convert 0.86 into a fraction and reduce to lowest terms.
Convert 0.86 into a fraction and reduce to lowest terms.
43/50
Convert 0.78 into a percentage.
Convert 0.78 into a percentage.
What is the equivalent of 3/4 inch?
What is the equivalent of 3/4 inch?
The volume of a shape in the metric system is stated in terms of what?
The volume of a shape in the metric system is stated in terms of what?
When converting decimals to a percentage, how many places do you move the decimal point?
When converting decimals to a percentage, how many places do you move the decimal point?
If you have 5,814 feet of rope and you cut it into 27-foot sections, how many sections will you have?
If you have 5,814 feet of rope and you cut it into 27-foot sections, how many sections will you have?
How much is your total check if you worked 40 hours at $20/hour and paid $83 and $19 in taxes?
How much is your total check if you worked 40 hours at $20/hour and paid $83 and $19 in taxes?
What is 4.5 multiplied by 7?
What is 4.5 multiplied by 7?
If a carpenter needs 150 studs and each stud costs $6.75, what is the total cost?
If a carpenter needs 150 studs and each stud costs $6.75, what is the total cost?
What is the lowest term of the fraction 4/32?
What is the lowest term of the fraction 4/32?
The metric ruler is divided into what units?
The metric ruler is divided into what units?
What does the marked measurement in the figure above indicate?
What does the marked measurement in the figure above indicate?
What is each millimeter increment in the metric system?
What is each millimeter increment in the metric system?
What is the marked measurement in the figure above indicated in inches?
What is the marked measurement in the figure above indicated in inches?
What is the area of a triangular roof section with a base of 7 feet and a height of 3.5 feet?
What is the area of a triangular roof section with a base of 7 feet and a height of 3.5 feet?
If an electrician earns $25.00 per outlet installed, how much will he earn for installing 12 outlets?
If an electrician earns $25.00 per outlet installed, how much will he earn for installing 12 outlets?
If you are adding 26 + 47 you will need to ____ the tens part of a sum from the units column to the tens column and add it there.
If you are adding 26 + 47 you will need to ____ the tens part of a sum from the units column to the tens column and add it there.
Convert 612 centimeters to meters.
Convert 612 centimeters to meters.
Convert 0.75 meters into centimeters.
Convert 0.75 meters into centimeters.
The metric system is used to measure length, weight, volume, and what?
The metric system is used to measure length, weight, volume, and what?
What does percentage mean?
What does percentage mean?
What is the square footage of a room that measures 12 feet by 16 feet long?
What is the square footage of a room that measures 12 feet by 16 feet long?
What is 1/4 + 3/8 ?
What is 1/4 + 3/8 ?
A screw is 3-7/10 inches long. Using decimals, this is written as _______ inches.
A screw is 3-7/10 inches long. Using decimals, this is written as _______ inches.
What is 8/12 - 4/8 reduced to the lowest term?
What is 8/12 - 4/8 reduced to the lowest term?
If one sheet of drywall weighs 48.7 pounds and you ordered 50 sheets, what will your total order weigh?
If one sheet of drywall weighs 48.7 pounds and you ordered 50 sheets, what will your total order weigh?
What is 7/8 x 3/9?
What is 7/8 x 3/9?
If you need to mix 42 pounds of mortar and each pound of mortar requires 0.03 liters of water, how many liters of water do you need?
If you need to mix 42 pounds of mortar and each pound of mortar requires 0.03 liters of water, how many liters of water do you need?
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Study Notes
Volume and Measurement
- The volume of a 9-inch cube measures 729 cubic inches.
- Volume in the metric system is measured in cubic meters (cu m).
- Equivalent to 3/4 inch is 6/8 inch.
Basic Fractions and Decimals
- One-third of a dollar is 33 cents.
- Converting 0.86 into a fraction results in 43/50.
- Converting 0.78 into a percentage yields 78%.
- Lowest term for the fraction 4/32 is 1/8.
- To convert 0.75 meters to centimeters is equal to 75.0 cm.
Calculations and Conversions
- Converting 612 centimeters to meters gives 6.12 m.
- To add decimals, move the decimal point two places to the right when converting to percentages.
- For addition, carry tens from the units column to the tens column.
- 26 + 47 involves carrying.
Geometry and Area Calculations
- The area of a triangular section with a base of 7 feet and height of 3.5 feet is 12.25 square feet.
- A room measuring 12 feet by 16 feet has a square footage of 192 sq ft.
Cost Calculations
- A carpenter building an addition needs 150 studs at $6.75 each, totaling $1,012.50.
- An electrician earns $25 per outlet with material costs of $7.50 for 12 outlets, totaling $210.
Weight and Material Measurements
- One drywall sheet weighs 48.7 pounds; ordering 50 sheets totals 2,435 pounds.
Miscellaneous Calculations
- Multiplying 4.5 by 7 equals 31.5.
- Total check after taxes for a $20/hour job over 40 hours with deductions totals $698.
- 8/12 - 4/8 simplifies to 1/6.
- 7/8 multiplied by 3/9 yields 7/24.
- Mixing 42 pounds of mortar requires 1.3 liters of water, with each pound needing 0.03 liters.
Metric System and Basic Definitions
- The metric ruler is divided into centimeters and millimeters; each millimeter is 1/10 of a centimeter.
- Percentage means out of 100.
Decimal Conversions
- A screw measuring 3-7/10 inches can be expressed as 3.70 inches in decimal form.
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