General Chapter 01 Flashcards

Mathematics

1
Q

Describe the result of adding a large positive number and a smaller negative number.

A

The result is a smaller positive number, and is the same as ignoring the signs and subtracting the smaller number from the larger.

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2
Q

How do you convert a fraction into a decimal?

A

Divide the top number (numerator) by the bottom number(denominator).

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3
Q

What is the key step that must be performed in order to add or subtract unlike fractions?

A

You must find the lowest (least) common denominator.

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4
Q

How do you divide one fraction by another?

A

You invert the divisor and multiply the numerators together and the denominators together.

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5
Q

How can you convert a decimal into a percent?

A

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.

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6
Q

How do you convert a fraction into a percent?

A

Convert it to a decimal, move the decimal point two places to the right and add the percent sign.

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7
Q

How do you change a decimal into the nearest equivalent fraction?

A

Multiply the decimal by the desired denominator. The result becomes the numerator in the fraction.

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8
Q

What are two different ways that a ratio may be expressed?

A

(1) As a fraction. (2) By placing a colon (:) between the two numbers. (3) By using the word β€œto” between the two numbers.

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9
Q

What is a proportion?

A

A statement of equality between two or more ratios.

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10
Q

What is meant by the root of a number?

A

A root is two or more equal smaller numbers that, when multiplied together, equal the specified number.

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11
Q

How do you find the square of a number? Give an example.

A

Multiply the number by itself. Examples: 4 x 4 = 16, 7 x 7 = 49.

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12
Q

What is a common method of making computations involving very large or very small numbers manageable?

A

Convert the numbers into scientific notation by using powers of 10.

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13
Q

How is 100,000 expressed as a power of 10?

A

10^5 (10 to the 5th power).

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14
Q

What formula is used to find the area of a rectangle and of a triangle?

A

For a rectangle, A = L X W, For a triangle, A = 1/2(B X H).

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15
Q

Define Pi

A

Pi is a constant that expresses the relationship between the circumference of a circle and its diameter and is approximately equal to 3.1416.

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16
Q

Describe a trapezoid.

A

A trapezoid is a closed, four-sided figure having two parallel sides and two sides that are not parallel.

17
Q

What is the formula for computing the area of a circle?

A

A = Pi r^2