chap 2 (integers, rational numbers. real numbers)

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19 Terms

1
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what are whole numbers?

Whole numbers are numbers 0 and greater that have no fractional component.

2
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what are integers?

integers are numbers that can be written without a fractional component. (positive, negative and 0)

3
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what are absolute values?

it refers to the distance between the number and zero. (eg: |-5| absolute value is 5 )

4
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in addition and subtraction, - and + =

-

5
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in addition and subtraction, - and - =

+

6
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what is the song for multiplication and division of negative numbers and positive numbers?

Good things (+) happen to good people (+), that's good (positive). Good things (+) happen to bad people (-), that's bad (negative). Bad things (-) happen to good people (+), that's bad (negative). Bad things (-) happen to bad people (-), that's good (positive).

7
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is it possible to obtain the square root of a negative number?

It is not possible to obtain the square root of a negative number because the square of any number is more than or equal to zero.

8
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what is the acronym for the correct order of operations?

BIDMAS-->Brackets, Index, Division/Multiplication, Addition/Subtraction

9
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what are the steps to adding and subtracting fractions and mixed numbers?

Convert the fractions to a common denominator. Simplify ans in improper fraction to mixed number.

10
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what are the steps to multiplying positive fractions and mixed numbers?

Convert mixed numbers to improper fractions. DO NOT change the common denominator. Simplify answers by dividing common factors from numerators and denominators.

<p>Convert mixed numbers to improper fractions. DO NOT change the common denominator. Simplify answers by dividing common factors from numerators and denominators.</p>
11
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what are the steps to dividing positive fractions and mixed numbers?

KCF in division. Keep the first term, Change the sign to division, Flip the following term to its reciprocal. (the reciprocal of 3 is 1/3, the reciprocal of 2/3 is 3/2)

12
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solve the problem

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13
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What are rational numbers?

A rational number is a number that can be expressed as the ratio of two integers a and b, i.e. in the form of a/b, where b is not equal to 0.

14
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what are irrational numbers?

numbers that are not rational. eg: pi

15
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how to tell if a number is rational or irrational?

terminating decimals or recurring decimals belong to rational numbers while non-terminating decimals and non-recurring decimals belong to irrational numbers.

<p>terminating decimals or recurring decimals belong to rational numbers while non-terminating decimals and non-recurring decimals belong to irrational numbers.</p>
16
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What are real numbers?

numbers that can be represented by values on the umber line and is made up of raational and irrational numbers.

17
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addition and subtraction of fractions simple practices.

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18
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multiplication and division of fractions simple practices

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19
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one of the factors of an unknown number is 10. Explain why this number is composite.

A composite number has more than two different factors other than 1 and itself. Since the unknown number contains 10 as a factor, it will have at least 4 different factors, which are 1,2,5,10.