Grade 4 - Progress in Mathematics

Trial Quotients

12-6

Sometimes the quotient you try is

too large. When this happens, you

need to change the estimate.

Divide: 172 
27.

172 
 27

Think: 17 
 2 ? Tr y 8.

Study this example.

Divide: 281 
35.

Estimate: 281 
 3 5.

Think: 328 
 33 

Tr y 9.

?

8

2 7
 1  7  2

2 1 6

7

2 7
 1  7  2

1 8 9

6 R 10

2 7
 1  7  2

1 6 2

2 1 0

2 7

 6

1 6 2

 1 0

1 7 2

Think

27 
 1  7  2  27 1; 27 17

27 
 1  7  2  27  172 Enough ones

Think

35 
 2  8  1  35 2; 35  28

35 
 2  8  1  35  281 Enough ones

Estimate.

Divide the

ones. Multiply.

Subtract and

compare.

Check.

To o large. Tr y 7. To o large. Tr y 6.

trial quotient

To o large.

Tr y 8.

9 8 R 1

3 5
 2  8  1 3 5
 2  8  1

3 1 5 2 8 0

1

10  27

Check.

3 5

 8

2 8 0

 1

2 8 1

3.4

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