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Flashcards in Fractions & Decimals Deck (34)
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1
Q

What if the numerator of a fraction is 0 what does the fraction = ?

A

0

2
Q

What if the denominator of a fraction is 0 what does the fraction = ?

A

Undefined

3
Q

Whats a proper fraction?

A

Any fraction whose numerator is smaller than its denominator

4
Q

What happens when you multiply a positive proper fraction?

A

It yields a product smaller than the original number

5
Q

What happens when you square a positive proper fraction?

A

It yields a product smaller than the original number

6
Q

Positive proper fractions behave in the opposite manner of other positive numbers….

A

….

7
Q

What happens when you divide a number by a proper fraction?

A

You get a quotient larger than the original number

8
Q

What happens when you take a square root of a proper fraction

A

It yields a root larger than the original number

9
Q

How do you solve fractions with unspecified quantities?

A

Let the unspecified quantity equal the product of the denominators

10
Q

Increasing the numerator does what to a fraction?

A

Increases the value of the fraction

11
Q

Increasing the denominator of a fraction does what to a fraction?

A

Decreases the value of the fraction

12
Q

Increasing the numerator and denominator by the same amount does what to a fraction

A

Bring the value of the fraction closer to 1

13
Q

Decreasing the numerator and denominator by the same amount does what to a fraction

A

Brings the value further from 1

14
Q

Decreasing the denominator of a positive fraction does what to its value?

A

Increases its value

15
Q

What must you do in order to properly add and subtract decimals ?

A

Line them up

16
Q

How do you multiply decimals?

A

Multiply as usual and the number of decimals in the product equals the sum of the number of decimals in the factors you are multiplying

17
Q

Describe how to divide decimals by using long division.

A

Move the decimal point of the number doing the dividing until it is a whome number . Shift the decimal point of the number being divided equal distance.

The quotient has the same amount of shifts

18
Q

What’s the best way to divide decimals?

A

Use the slide approach. Put the division in fraction form.slide the decimal point equal number of tines until neither the numerator or denominator contain a decimal.

19
Q

Numbers between 0 and 1 always behave in the … manner of numbers larger than 1

A

Opposite

20
Q

The number of zeroes in the denominator is equivalent to what?

A

The number of decimal spots in the answer

21
Q

What are some ways to convert a fraction to a decimal?

A

Use the memorized conversion chart
Multiply the numerator and denominator to get the denominator to a power of 10 (if cant get to a power of 10 approximate by getting as close to a power as possible)

22
Q

How do you convert repeating decimals to fractions?

A

Create two equations;
X=the repeating decimal

Set the repeating decimal to x and multiply both sides of the equation by a power 10 with the number of zeroes equal to the length of the repeating sequence.

Subtract the two equations and solve for x

23
Q

What does it mean when a fraction has a denominator that is only made up of prime factors of “2” and “5” ?

A

It will convert to a terminating decimal

24
Q

Any fraction whose denominator contains a prime factor OTHER than “2” or “5” will…

A

NOT terminate

25
Q

What should you think when a question ask you how many consecutive zeros are to the left or right of a decimal point?

A

How many 10s (2s and 5s) is the number made up of.

26
Q

To determine the number of consecutive zeroes that a fraction has to the right of its decimal point what should you do?

A

Simplify the fraction and count the number of 10s left in the denominator

Then determine the product of ant numbers that don’t produce a 10
If <10. It will add no 10s
If <100. It will add 1 10s
If <1000. It will add two 10s

27
Q

How do linear equations differ from equations w roots and exponents?

A

There may be 2 possible solutions in equations with exponents and sq roots

28
Q

Whats the opposite operation to a root?

A

An exponent

29
Q

Whats the opposite equation to an exponent

A

A root

30
Q

How do you solve for a variable underneath a radical?

A

Isolate the radical

Multiply the other side by the corresponding exponent

31
Q

How do you solve for a variable that has an exponent?

A

Isolate the variable with the exponent

Take the corresponding root of the opposite site

32
Q

What happens when you take the root of a term with an even exponent: Whats the answer to such an equation?

A

The absolute value of the term

33
Q

How do you square a decimal ?

A

Multiply it as you would a regular decimal adding decimal points back to the answer

34
Q

What is the plural to “number”

A

“a number”

I.e. a number of us are going to the mall.