Comprehensive Questions With Answers
Complete Solutions
Describe the result of adding a large positive number and a smaller negative number. - ANS ✔ - The
result is a smaller positive number, and is the same as ignoring the signs and subtracting the smaller
number from the larger.
How do you convert a fraction into a decimal? - ANS ✔ - Divide the top number (Numerator) by the
bottom number (denominator).
What is the key step that must be performed in order to add or subtract unlike fractions? - ANS ✔ -
You must find the lowest (Least) common denominator.
How do you divide one fraction by another? - ANS ✔ - You invert the divisor and multiply the
numerators together and the denominators together.
How can you convert a decimal into a percent? - ANS ✔ - (1) Multiply the decimal by 100 and add
the percent sign.
(2) Move the decimal point two places to the right and add the percent sign.
How do you convert a fraction into a percent? - ANS ✔ - Convert it to a decimal, move the decimal
point two places to the right and add the percent sign
How do you change a decimal into the nearest equivalent fraction? - ANS ✔ - Multiply the decimal
by the desired denominator. The result becomes the numerator in the traction.
What are two different ways that a ratio may be expressed? - ANS ✔ - (1) As a fraction.
(2) By placing a colon (s) between the two numbers.
(3) By using the word '10" between the two numbers
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,What is a proportion? - ANS ✔ - —
A statement of equality between two or more ratios.
What is meant by the root of a number? - ANS ✔ - A root is two or more equal smaller numbers that,
when multiplied together, equal the specified number.
How do you find the square of a number? Give an example. - ANS ✔ - Multiply the number by itself
Examples:
4 X 4 =16, 7 X 7 =49
What is a common method of making computations involving very large or very small numbers more
manageable? - ANS ✔ - Convert the numbers into scientific notation by using powers of 10.
How is 100.000 expressed as a power of 10? - ANS ✔ - 10^5 (10 to the 5'" power).
What formula is used to find the area of a rectangle and of a triangle? - ANS ✔ - For a rectangle,
A = L X W.
For a triangle,
A = 1/2(B X H).
Define Pi (π) - ANS ✔ - Pi is a constant that expresses the relationship between the gigozngterence of
a circle and its diameter and is approximately equal to
Describe a trapezoid. - ANS ✔ - A trapezoid is a closed, four-sided figure having two parallel sides
and two sides that are not parallel.
What is the formula for computing the area of a circle? - ANS ✔ - A=πr^2
Define matter. - ANS ✔ - Any substance that occupies space and has mass.
Matter may exist in what three states? - ANS ✔ - Solid, liquid, gas, (Plasma).
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, Define kinetic energy. - ANS ✔ - Kinetic energy is the energy of motion,
Work is the product of what two factors? - ANS ✔ - Force and the distance moved,
What are the parts of a lever? - ANS ✔ - A rigid bar and a pivot point called the fulcrum.
A wheelbarrow is an example of what class of lever? - ANS ✔ - A second-class lever.
Are all three states of matter affected by thermal expansion and if so, which state is affected most? -
ANS ✔ - All three states are affected, with gases being affected the most.
What is a British Thermal Unit? - ANS ✔ - The amount of heat energy required to change the
temperature of 1 pound of water 1 degree Fahrenheit.
Name the three methods of heat transfer? - ANS ✔ - Conduction, convection and radiation.
What term defines the temperature at which all molecular motion ceases? - ANS ✔ - Absolute zero.
Can liquids be compressed? - ANS ✔ - No, liquids are generally considered incompressihle.
What are the customary units used to express hydraulic or pneumatic pressure in the United States?
- ANS ✔ - Pounds per square inch (PSI)
Describe how pressure is transmitted when a force is applied to a confined liquid. - ANS ✔ - Pressure
is transmitted equally in all directions,
What formula expresses the relationship between force, pressure and area? - ANS ✔ - Force equals
area times pressure
What is the approximate speed of sound at sea level on a standard day? - ANS ✔ - 661 Knots or 340
meters per second.
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