Decimal Rounding
 

Decimal Rounding:

Figure out the place value to be rounded to...

Surround the original number by counting in increments of the place value specified.

Decide what number in your counted list is closest to the  original number.

Figuring out the place value to be rounded to ....

Given the following following statements, identify the place value we will round to ...
1.   Round 0.762 to the nearest tenth

2.   Round 0.821 to the nearest hundredth

3.   Round 1.2543 to the nearest tenth

4.   Round 53.1239 to the nearest thousandth

  

... Tenth          (10th)

... Hundredth   (100th)

... Tenth           (10th)

... Thousandth  (1000th)

 

Counting in increments of the place value ...

Given the following following statements, Count by the specified place value ...
1.   Round 0.768 to the nearest tenth

2.   Round 0.821 to the nearest hundredth

3.   Round 1.2743 to the nearest tenth

4.   Round 53.1234 to the nearest thousandth

  

... 0.0     0.1     0.2     0.3     0.4     0.5     0.6     0.7     0.8     0.9     1.0                  

... 0.80   0.81   0.82   0.83   0.84   0.85   0.86   0.87   0.88   0.89   0.90   1.00

... 1.0     1.1     1.2     1.3     1.4     1.5     1.6     1.7     1.8     1.9     2.0                  

... 53.120  53.121  53.122  53.123  53.124  53.125  53.126  53.127  53.128 ...

 

Surrounding the original number by counting by increments of the place value...

Given the following following statements, surround the given number by numbers found counting with specified place value ....
 

1.   Round 0.768 to the nearest tenth

2.   Round 0.823 to the nearest hundredth

3.   Round 1.2743 to the nearest tenth

4.   Round 53.1232 to the nearest thousandth

 

 ...        0.7   

...        0.81  

...        1.2  

...      53.123 

 0.768 

0.823

1.2743

53.1232

 0.8   

0.82

1.3

53.124 

The following are examples of Rounding decimals.

Rounding Decimals
Given a request to round

Round 0.2344 to the nearest hundredth (100th).
Identify the place value you are rounding to ...

Rounding to place value 100th
Count past and surround the given number by counting by increments of the place value.

      .22,       .23,      .24,     .25

                       .2344
Decide which of the counted numbers is closest to the given number.

Its closest to 0.23.

Have you ever noticed that when you count by a giving place value (example: 100ths)  your numbers have the same number of decimal digits as the place value has zeros?

Which of the following is not counted by 100ths ...
A.       .22, .23, .24, .25
B.       .57, .58, .59
C.       .98, .99, 1.00, 1.01
D.       .0001, .0002, .0003, .0004

 

ANSWER:      D

Check Your Understanding

Can you identify a place value???   What is the place value mentioned in the following request to round?

1.   Round to the nearest hundredths        

 

2.   Round to the nearest thousandths       

 

3.   Round to the nearest ten-thousandths  

 

Check Your Understanding

Can you count by increments of place values?   Think an answer then look at an example of one possible answer ... 

1.    Count by ten-thousandths.                 

 

2.   Count by tenths.                               

 

3.   Count by thousandths.                       

 

Check Your Understanding

Why are the following statements true??

  1. .7 is less than .71  and .71 is less than .8                   

  1. .82 is less than .821 and .821 is less than .83            

  1. .1 is less than .15 and .15 is less than .2                     

  1. .78 is less than .78999 and .78999 is less than .79   

Check Your Understanding

Why are the following statements true??

  1. .7  and .8 surround .78   

  1. .97 and .98 surround .972 

  1.  .854 and .855 surround .8545 

  1. 1.4 and 1.5 surround 1.41

Check Your Understanding

Why are the following statements true??

  1. .78 is closer to .8 than to .7   

  1. .972 is closer to .97 than to .98  

  1.  .8545 is closer to .855 than to .854 

  1. 1.41 is closer to 1.4 than to 1.5 

Check Your Understanding

  1. Enter a number between 0 and 999.9999.
  2. Enter a place value to round to .... 10ths, 100ths, 1000ths
  3. Figure out what you believe the answer should be.
  4. Click the button "Check" and check your answer.
Number: Place Value:
Answer: