Mathematics Flashcards

(22 cards)

1
Q

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

A

A smaller positive number; subtract the smaller from the larger.

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2
Q

How do you convert a fraction into a decimal?

A

Divide numerator by 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

Find the least common denominator.

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4
Q

How do you divide one fraction by another?

A

Invert the divisor and multiply.

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5
Q

How can you convert a decimal into a percent?

A

Multiply by 100 (move decimal two places right) and add %.

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6
Q

How do you convert a fraction into a percent?

A

Convert to decimal, move decimal two places right, add %.

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6
Q

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

A

Multiply by desired denominator for numerator.

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7
Q

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

A

As a fraction or with a colon.

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8
Q

What is a proportion?

A

Equality of two ratios.

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9
Q

What is meant by the root of a number?

A

Equal numbers that multiply to produce the number.

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10
Q

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

A

Multiply number by itself, 4x4=16

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11
Q

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

A

Convert to scientific notation using powers of 10.

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12
Q

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

A

10⁵.

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13
Q

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

A

Rectangle: A = L × W; Triangle: A = B x H 1/2

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14
Q

Define Pi (π).

A

Ratio of circumference to diameter (≈ 3.1416).

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15
Q

Describe a trapezoid.

A

Four-sided figure with two parallel sides.

16
Q

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

17
Q

What is meant by a negative number?

A

A number less than zero.

18
Q

What steps are used to add signed numbers?

A

Add positives, add negatives, subtract smaller from larger; answer is sign of larger.

19
Q

What steps are used to subtract signed numbers?

A

Change sign of subtrahend and add; apply sign rules.

20
Q

What steps are used to multiply signed numbers?

A

Multiply values; like signs positive, unlike negative.

21
Q

What steps are used to divide signed numbers?

A

Divide values; like signs positive, unlike negative.