Chapter 4A Study Guide & Practice Problems

Answer Booklet

Contents1) Fact Families....................................................................................................................................2

2) Division Vocabulary.........................................................................................................................2

3) Division Notation.............................................................................................................................2

4) Setting up Division Word Problems.................................................................................................3

5) Multi-Step Division (“Long Division”) with a 1-Digit Divisor.............................................................4

6) Zeroes in the Quotient.....................................................................................................................5

7) Divisibility........................................................................................................................................7

8) Divisibility Rules...............................................................................................................................7

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1) Fact Families

Sample test question:Write 4 math facts using the numbers 8, 9 and 72:

______________________________________________

____________________________________________

2) Division Vocabulary

Sample test questions:

1) True or False: The remainder in a division problem can never be bigger than the divisor.a) True b) False

2) Fill in the blanks in the sentence below using the words from the word bank:You can check your division by multiplying the divisor by the _________________ then adding the ____________________. If you get the ___________________, then it’s correct!

a) Remainder b) Dividend c) Quotient

3) Division Notation

Sample test questions:

Label the dividend, divisor and quotient on the division problems below:

35÷5=7

Change from one division notation to another:

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11÷2=5 R1

7 . 9 ) 63

❑❑=¿

4) Setting up Division Word Problems

Sample test questions:

Show your work:

The fifth grade is going on a field trip. There are 47

students altogether, and each van has room for 7

students.

How many vans will they need to take?

___________________________

Check answer with multiplication:

Show your work:

There are 8 slices of pizza in one pie. How many

pies will I need to buy to feed 70 people?

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___________________________

Check answer with multiplication:

5) Multi-Step Division (“Long Division”) with a 1-Digit Divisor

Sample test questions:

2 ) 9 3 4 7 ) 8 5 9

6) Zeroes in the QuotientSample test questions:

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6 ) 4 2 3 8 ) 4 0 0

2 ) 2, 1 3 5 9 ) 3 6 8 1

Sample test questions:

Show your work:

Aliza has 373 Chanuka Dollars, and all of them are

purple $1 bills.

She wants to exchange as many as possible for

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pink $5 bills.

After the exchange, how many $5 bills will she

have?

___________________________

How many $1 bills will she have left?

___________________________

Check answer with multiplication:

Show your work:

Nechama and Esther are helping sort shoes at a

gemach. They count 618 individual shoes all

together.

How many pairs of shoes did they sort?

(hint: 1 pair = 2 shoes)

___________________________

Check answer with multiplication:

7) Divisibility

Sample test question:

Draw an array of dots below to show if 13 is divisible by 4 (that is, if 4 goes into 13 evenly):

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Is 13 divisible by 4? Circle: YES / NO

8) Divisibility RulesSample test questions:

1) True or False: 522 is divisible by 6.a) True b) False

2) Which of the numbers below is divisible by BOTH 5 and 9?a) 505 b) 963 c) 720

3) A number is divisible by another number if you can divide and get no ________________________.a) remainder b) sum c) quotient

4) The divisibility rules say that we only use the digital ____________ when checking if a number is divisible by 3 or 9.

a) difference b) sum c) product

5) This number is a factor of all other numbers.a) 1 b) 0 c) 2

Match each factor to its divisibility rule:

Divisibility Rule

1____ The sum of the digits is divisible by 9

2____ The last digit of the number is 0 or 5

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3____ The last digit is 0

4____ The sum of the digits of the number is divisible by 3

5____ Every number is divisible by this number

6____ The last two digits make a number that is divisible by 4

9____ The number is divisible by BOTH 2 and 3

10 ____ The last digit of the number is even (0, 2, 4, 6, 8)

Extra Credit: Write two different 3-digit numbers that are divisible by both 2 and 9.

Possible solutions:

NOTE: there are many possible answers; I have not written every single possible answer here!

108 126 144 180234 252 270 288306 324 360 378414 432 450 468504 522 540 576630 648 666 684702 720 774 792810 828 846 864900 918 954 972

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