Fractions & Decimals

Question 1

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

Answer 1

0

Question 2

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

Answer 2

Undefined

Question 3

Whats a proper fraction?

Answer 3

Any fraction whose numerator is smaller than its denominator

Question 4

What happens when you multiply a positive proper fraction?

Answer 4

It yields a product smaller than the original number

Question 5

What happens when you square a positive proper fraction?

Answer 5

It yields a product smaller than the original number

Question 6

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

Answer 6

….

Question 7

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

Answer 7

You get a quotient larger than the original number

Question 8

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

Answer 8

It yields a root larger than the original number

Question 9

How do you solve fractions with unspecified quantities?

Answer 9

Let the unspecified quantity equal the product of the denominators

Question 10

Increasing the numerator does what to a fraction?

Answer 10

Increases the value of the fraction

Question 11

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

Answer 11

Decreases the value of the fraction

Question 12

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

Answer 12

Bring the value of the fraction closer to 1

Question 13

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

Answer 13

Brings the value further from 1

Question 14

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

Answer 14

Increases its value

Question 15

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

Answer 15

Line them up

Question 16

How do you multiply decimals?

Answer 16

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

Question 17

Describe how to divide decimals by using long division.

Answer 17

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

Question 18

What’s the best way to divide decimals?

Answer 18

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.

Question 19

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

Answer 19

Opposite

Question 20

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

Answer 20

The number of decimal spots in the answer

Question 21

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

Answer 21

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)

Question 22

How do you convert repeating decimals to fractions?

Answer 22

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

Question 23

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

Answer 23

It will convert to a terminating decimal

Question 24

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

Answer 24

NOT terminate

Question 25

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

Answer 25

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

Question 26

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

Answer 26

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

Question 27

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

Answer 27

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

Question 28

Whats the opposite operation to a root?

Answer 28

An exponent

Question 29

Whats the opposite equation to an exponent

Answer 29

A root

Question 30

How do you solve for a variable underneath a radical?

Answer 30

Isolate the radical

Multiply the other side by the corresponding exponent

Question 31

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

Answer 31

Isolate the variable with the exponent

Take the corresponding root of the opposite site

Question 32

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

Answer 32

The absolute value of the term

Question 33

How do you square a decimal ?

Answer 33

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

Question 34

What is the plural to “number”

Answer 34

“a number”

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