Questions and Answers
What is the volume of a 9 inch cube?
729 cu in
What is 1/3 of a dollar?
33 cents
Convert 0.86 into a fraction and reduce to lowest terms.
43/50
Convert 0.78 into a percentage.
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What is the equivalent of 3/4 inch?
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The volume of a shape in the metric system is stated in terms of what?
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When converting decimals to a percentage, how many places do you move the decimal point?
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If you have 5,814 feet of rope and you cut it into 27-foot sections, how many sections will you have?
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How much is your total check if you worked 40 hours at $20/hour and paid $83 and $19 in taxes?
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What is 4.5 multiplied by 7?
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If a carpenter needs 150 studs and each stud costs $6.75, what is the total cost?
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What is the lowest term of the fraction 4/32?
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The metric ruler is divided into what units?
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What does the marked measurement in the figure above indicate?
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What is each millimeter increment in the metric system?
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What is the marked measurement in the figure above indicated in inches?
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What is the area of a triangular roof section with a base of 7 feet and a height of 3.5 feet?
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If an electrician earns $25.00 per outlet installed, how much will he earn for installing 12 outlets?
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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.
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Convert 612 centimeters to meters.
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Convert 0.75 meters into centimeters.
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The metric system is used to measure length, weight, volume, and what?
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What does percentage mean?
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What is the square footage of a room that measures 12 feet by 16 feet long?
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What is 1/4 + 3/8 ?
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A screw is 3-7/10 inches long. Using decimals, this is written as _______ inches.
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What is 8/12 - 4/8 reduced to the lowest term?
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If one sheet of drywall weighs 48.7 pounds and you ordered 50 sheets, what will your total order weigh?
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What is 7/8 x 3/9?
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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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