6th Grade Math Textbook, Progress

Update your skills. See pages 10–11.

Divide Whole Numbers

3-3

Alaska has 33,904 miles of shoreline.

Connecticut has 618 miles of shoreline.

How many times the length of Connecticut’s

shoreline is Alaska’s?

To find how many times the length, n,

divide: 33,904
 618 n.

First estimate by using compatible numbers:

30,000
 600 50.

Then divide.

Decide where

to begin the

quotient.

618 
 3  3 ,9 0  4 

618 
 3  3 ,9 0  4 

Think

618  339 Not enough hundreds

618  3390 Enough tens

The quotient begins in the tens place.

Divide the tens. Divide the ones. Check.

5 54 R532 0 0,6 1 8

6 1 8
 3  3 ,9 0  4 6 1 8
 3  3 ,9 0  4 0 0 0,5 4

3 0,9 0 3 0,9 0  02 ,4 7 2

 03 ,0 0  0 3 ,0 0 4 3 0,9 0

0 2,4 7 2 3 3,3 7 2

0 0,5 3 2 0 0,5 3 2

3 3,9 0 4

Think

54 R532 is close to

the estimate of 50.

Sometimes you need to write one or more zeros in the quotient.

0 0 20 R13 03 ,0 01 R5

5 3
 1  0  7  3 3 3
 9  9 ,0 3  8

1 0 6 9 9

0 01 3 0 0,0 3 8

0 0,0 3 3

53  (^13) 0 0,0 0 5
Write zero in
the quotient.
Write two zeros
in the quotient.
Alaska’s shoreline is about 55 times
the length of Connecticut’s shoreline.
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