Place Value
Divisibility Rules
GCF & LCM
Ratios and Rates
Equivalent Ratios
100

Identify the place and value of the bolded number. 

4,423,241

Hundred Thousands

400,000

100

Is the following number divisible by 2?

4,352,428


Explain your answer. 

Yes.


It is divisible by 2 because the last digit is an even number. 

100

What does LCM stand for?

Least Common Multiple

100

A zoo has 5 lions, 30 monkeys, and 12 kangaroos. 


What is the ratio of lions to monkeys? 

Write your answer in simplest form.

5 to 30


Simplest form: 1 to 6.

For each lion there are 6 monkeys. 

100

Create an equivalent fraction/ratio for the following.


   5
_____
   8

Answers will vary. Simply multiply the numerator and the denominator by the same number. 


For example:      5     x 2             10
                     _____          =   _______
                         8     x 2             16 

200

Identify the place and value of the bolded number. 

120,423,241

Ten Millions

20,000,000

200

Is the following number divisible by 3?

45,342

Yes.

The sum of the digits (4+5+3+4+2 = 18) is divisible by 3 (18÷3 = 6), the whole number is divisible by 3. 

200

What is the GCF of 40 & 24?

8

200

A zoo has 5 lions, 30 monkeys, and 13 kangaroos. 

What is the ratio of lions and kangaroos to monkeys? 

Write your answer in simplest form.

5 + 13 = 18

   18 

______

   30

Simplest form:         3
                          ______  

                              5

For every 3 lions and kangaroos, there are 5 monkeys.

200

Determine if the pair of ratios or rates is equivalent. 

$12 for 3 books; $28 for 7 books. 

  $12          ÷ 3           $4
______               =   _____

3 books      ÷ 3         1 book

 
  $28          ÷  7            $4
______               =    _______
7 books      ÷  7           1 book


Yes. They are equivalent because it is $4 per book in both ratios. 

300

Identify the place and value of the bolded number. 

983,423,241,242

Ones place.

2

300

How do you know if a number is divisible by 6?

A number is divisible by 6 if it is divisible by BOTH 2 and 3. 

300

What is the LCM of 6 & 8?

24

300

A box of soda cans cost $60.75. If there are 45 cans in the box, what is the unit price (the price for one can)?


$60.75        ÷   45   =        $1.35
______                            ______ 

 45 cans      ÷   45              1 can 

300

    1                                5
______                     ________

   4                                15

Are thew two ratios equivalent? Explain your answer.

    1      x  5  =  5                 5
______                          ________

   4       x  5  = 20                15

No. They are not equivalent fractions because you can't use multiplication to create the same numerator and denominator. 

400

Write the following number in word form.


9,432,345

Nine million, four hundred thirty two thousand, three hundred forty five. 

400

Is the following number divisible by 5?

143,005

Explain your answer.

Yes.

It is divisible by 5 because the final digit is 5. 

400

What is the GCF of 36 and 42?

6

400

Chrismerly travelled 660 miles in 6 hours. On average, how fast was he traveling? 

660 miles   ÷    6   =   110 miles 

________                 ________    

 6 hours     ÷    6   =     1 hr 

400

George Washington read the first 60 pages of a book in 3 days. He read the last 90 pages in 6 days. Are these reading rates equivalent? Explain your answer. 

60 pages     ÷  3           20 pages
________             =  ___________

3 days         ÷  3            1 day 



90 pages      ÷ 6           15 pages
________             =   __________
  6 days        ÷ 6             1 day 


No. He read the last 90 pages more slowly. 

500

Write the following number in word form.

511,510

Five hundred eleven thousand, five hundred ten

500

134,162,400

This is divisible by which of the following numbers?

2, 3, 5, 6, 10

This is divisible by 2, 3, 5, 6, and 10!

500

What is the GCF of 6, 9, and 15? 

3

500

If 15 baseballs weigh 75 ounces, how many baseballs weigh 15 ounces? 

15 baseballs   ÷  3              3 baseballs

________                  =     _________    

75 ounces      ÷  3              15 ounces 

500

Ezequiel bought 100 ice-cream cones for $40. Chrismerly bought 70 ice-cream cones for $25.

Did they pay the same amount per ice-cream cone? Explain your answer. 

$40        ÷   100        $0.4  or   40 cents
________                =              _________

100 cones  ÷   100                        1 cone



    $25       ÷  75          $0.33  or   33 cents          
_______               =                   ________
 75 cones  ÷  75                           1 cone

No. Ezequiel paid 40 cents a cone and Chrismerly only paid 33 cents per cone. 

M
e
n
u