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> Which numbers are divisible by 5? By 9? By neither 5 nor 9? > > 3780, 243, 2055, 216, 42 155, 29 655, 1929, 3660 > Sadie says “1970 is divisible by 5 and by 10. > 5 × 10 = 50, so 1970 is also divisible by 50.” > May says “83 020 is divisible by 2 and by 4. > 2 × 4 = 8, so 83 020 is also divisible by 8.” > Are Sadie and May correct? Why or why not? > How do you know?
 * 1) Use a Carroll diagram.
 * 1) Sadie and May discuss divisibility.
 * 1) Which numbers are divisible by 4? By 5?


 * a)** 90 **b)** 134 **c)** 395
 * d)** 1724 **e)** 30 **f)** 560
 * g)** 3015 **h)** 74 **i)** 748

4. a) Explain why you can calculate 0 divided by 3 but not 3 divided by 0. b) Explain why 0 has only one multiple, while other whole numbers have an unlimited number of multiples.

5. Match the number with the correct divisibility statement. Draw more than one line if it is needed.


 * 54 || Divisible by 10 ||
 * 56 || Divisible by 3 ||
 * 50 || Divisible by 9 ||
 * 92 || Divisible by 8 ||
 * 75 || Divisible by 5 ||
 * 93 || Divisible by 2 ||
 * 30 || Divisible by 6 ||

6.) a.) Sort these numbers in the Carroll diagram below.

16, 18, 27, 37, 120, 180, 281, 288, 352, 411, 432, 540

b.) Write one more number in each part of the Carroll Diagram. Explain how you knew where to place each number.
 * || Divisible by 9 || Not Divisible by 9 ||
 * Divisible by 4 ||  ||   ||
 * Not Divisible by 4 ||  ||   ||

7. a.) Sort these numbers in the Venn Diagram Multiples of 4, 6, 9

12, 28, 36, 54, 72, 79, 135, 256, 270, 318, 371, 432

b.)Which loop is empty? Explain why there is no number that belongs in that loop.



8.) Solve each riddle

a.) I am divisible by 2 and by 3. I am between 21 and 29. Which number am I?

b.) I am divisible by 5 and 10. I am between 56 and 64. Which number am I?

c.) I am divisible by 2 and by 9. I am between 424 and 449. Which number am I?

9.) There were 12 ripe peaches on a tree. Four children shared them equally. When 12 more peaches were ripe, no children came to pick them. Can the peaches be shared among 0 children? Use this example to explain divisibility by 0.

[|Divisibilty Rubric]