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Pre-Algebra > Chapter 4 Terms > Flashcards

Chapter 4 Terms Flashcards

1
Q

Fractions are another form of _______.

The fraction bar that separates the numerator from the denominator show that you can______ the numerator by the denominator

3(dividend)/2(divisor) = 3÷2

A

Division/ Divide

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1
Q

Every Whole Number greater than _____ has EXACTLY ONE PRIME FACTORIZATION

A

One

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1
Q

What is the reciprocal of 5 (5/1)

A

1

-

5

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2
Q

How to make an improper fraction a mixed number

A
  1. Dvide the denominator into the numerator.
  2. The quotient becomes the whole number; the remainder becomes the numerator;
  3. The denominator remains the same.
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3
Q

When dividing fractions do not look for _________ until after you have changed the sign to multiplication

A

Common factors

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4
Q

The Multiplication property of Equality

A

Let a,b, and c be numbers, and c≠0

If a=b,

then a*c=b*c

and also a/c= b/c

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5
Q

A fraction that has a numerator with a a greater value than the denominator is considered _________.

A

an improper fraction

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5
Q

In terms of order of operations, complex fractions are ________first and then divided

A

Simplified

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6
Q

When multiplying fractions you should always ______ the product, or ______them as separate fractions before you multiply

A

Simplify

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7
Q

A natural number greater that 1 whos only factors are 1 and itself

A

Prime Number

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7
Q

Divisibility Test for 3

A

If the sum of the digit is divisible by

3 3,33,72,129 279

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8
Q

Divisibility Test for 9

A

If the sum of its digits is divisible by 9

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8
Q

The reciprocal of

2

5 is….

A

5

-

2

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9
Q

The fundamental property of fractions states _______

A

If A,B,and C are numbers, then…

A A x C A A÷C

— = — and — = —

B A x C B B÷C

As long as B & C are not 0.

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9
Q

Fractions that have the same or a common denominator are called_______.

While fractions that have different or uncommon denominators are called _________.

A

Like Fractions/ Unlike Fractions

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10
Q

When the numerator and denominator have no other common factors other than 1. What is this called

A

Simplest Form

or

Lowest Terms.

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11
Q

0/Y=

A

0 as long as Y is not = 0

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11
Q

The Least Common Denominator (LCD) is also the ___________

A

Least Common Multiple (LCM)

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12
Q

Two numbers are _____ of of each other if their product is 1

A

Reciprocals

A B A x B AxB

— — Because _ _ — = 1

B A B x A BxA

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14
Q

The fundamental property of fractions proves that if the numerator and denominator are multiplied or divided by the same number that the result is an_________.

A

Equivalent fraction

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15
Q

N/1=

A

N

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16
Q

Divisibility Test for 4

A

If the last two digits as one whole number (not summed up) are divisible by 4.

1,0224,52,28

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16
Q

How to divide fractions

A

Keep; The first fraction

Change; from division to multiplication

Flip; the second fraction to the reciprocal

18
Q

Two Fractions that each represent the same portion of a whole or the same point on a number line are_______

A

Equivalent Fractions

19
Q

Divisibility Test for 10

A

If its last digit is 0

10,100,1,000,10,000

20
Q

Composite number

A

A natural number greater than 1 that is not prime

21
Q

Prime factorization is…

A

When a composite number is written as a product of prime numbers.

The prime factorization of 12 is 2*2*3

All are prime all produce the product 12

22
Q

The formula for adding like fractions.

A

A C A+C A C A-C

— + — = — — - — = —

B B B B B B

23
Q

What is this

12

6 X 2

2X3 x 2

A

Factor tree

25
Q

A fraction that has a denominator with a a greater value than the numerator is considered _________.

A

a proper fraction

26
Q

What is the reciprocal of

  7
  • —
11
A

11

  • —7
27
Q

A fraction whose numerator or denominator or both numerator and denominator contain fractions

A

Complex Fractions

28
Q

A____ is any number that divides another number evenly without a remainder of 0

A

Factor

29
Q

To Simplify a fraction use the…

A

GCF

31
Q

The number above the line in a common fraction showing how many of the parts indicated by the denominator are taken, for example…

2 in 2/3.

A

Numerator

32
Q

The second method of simplifying complex fractions is to ________ all numerators and denominators of the complex fraction by the _____

A

MULTIPLY!/ LCD

34
Q

Write the prime factorization of the numerator and the denominator

Then divide both by all common factors

And multiply the remaining factors, in the Numerator to producethe numerator product and then repeat in the denominator.

to do what???

A

To write a fraction is simplest form.

35
Q

The process of writing a fraction in simplest form is called….

A

Simplifying

36
Q

The formula for dividing fractions

A

If B,C, and D are not 0

A C A D AxD

— ÷ — = — x — = —

B D B C BxC

37
Q

The first method of simplifying complex fractions makes use of the fact that a fraction bar means ______.

The complex fraction

x

-

4

—

3

-

2

can also be written as…

A

Division

x 3

  • ÷ -

4 2

38
Q

This number contains a whole number and a proper fraction

A

A mixed number

40
Q

Z/Z=

A

1 as long as neither z is = 0

42
Q

A numerical quantity that is not a whole number

A

Fraction

44
Q

X/0=

A

undefined

45
Q

Divisibility Test for 6

A

If it was also divisible by both 2 and 3

9858,9924 228,72

46
Q

Divisibility Test for 2

A

If the only, or last digit is even.

2,8,10,24,50,98,100,834,2002

47
Q

When working on NEGATIVE MIXED FRACTIONS, ITS VERY IMPORTANT TO KNOW ONE THING….

A

THAT

    2                    2

-3 — = - (3 — )

    5                    5
48
Q

Divisibility Test for 5

A

If its last digit is 0 or 5

5,10,15,20,25

49
Q

When all factors of the numerator or denominator are divided out dont forget that _____ still remains in the numerator or denominator.

A

1

50
Q

The ____________ of a list of fractions is the smallest positive number divisible by all the denominators in the list.

A

Least Common denominator(LCD)

51
Q

Make Unlike fractions Like fractions use the…

A

LCM/LCD

52
Q

You can use a _____ to find the prime factorization of any number.

A

Factor Tree

53
Q

Division by 0 is considered ______ so if you see a fraction with 0 as a denominator 2/0 is it considered _______.

A

Undefined

54
Q

The formula to multiply fractions

A

If A,B,C, and, D are numbers and B and D are not 0 then

A C AxC

— x — = —

B D BxD

55
Q

How to you make a mixed number an improper fraction

A
  1. Multiply the whole number by the denominator
  2. Add the numerator of the fraction to the product of step 1.
  3. Write the sum from step 2 as the numerator of the improper fraction.
56
Q

A shorthand way of discovering whether a given number is divisible by a fixed divisor without performing the division, usually by examining its digits

A

Divisibility tests

57
Q

The number below the line in a common fraction; a divisor.

A

Denominator

Pre-Algebra (8 decks)

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