SOFTWARE WINGEOM

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English For Math ( EFM )

 Assalamualaikum

at this time I will discuss math at grade 6 elementary school that is about Estimation. so leat this time I will discuss math at grade 6 elementary school that is about Estimation, so lets us refer to the discussion.

Estimation

Finding a value that is close enough to the right answer, usually with some thought or calculation involved.

Example: 
Sam's estimation of 400 ( four hundred ) bricks to build the wall was very good, as there were only 12   
( twelve )  bricks left over.

            Estimating the result of arithmetic operation is approximating the result of arithmetic operation.

Estimating the result of arithmetic  operations is approximating the result of arithmetic operation.

By estimating, you can approximating the result arithmetic operation without calculating it.    

          in principle, estimation is relating to rounding. however, estimation is usually associated with number operations    ( + (addition), - (subtraction), X (multiplication), and - (division) ).

Estimate the results of arithmetic operations can be divided into three, namely estimating the result of arithmetic operations in the nearest tens, hundreds, and thousands.

To undertake estimation, remember back to rounding’s rules that have been studied previously.

a.      Estimate the Result of Arithmetic Operations to the Nearest Tens

Example

1)      Determine the estimation to the nearest tens of the following arithmetic operations.

a.       39 + 14 ( threety nine plus fourteen ) approx ...

b.      12 x 17 ( twelve multiply by seventeen )  approx ...

Answer:

a.       39 + 14 ( threety nine plus fourteen ) the estimation 40 + 10 ( fourty plus ten ), approximately 50 ( fifty ).

b.      12 x 17 ( twelve multiply by seventeen )  the estimation 10 x 20 ( ten multiply by twenty ), approximately 200 ( two hundreds ).

2)      Estimate 48 + 53 ( fourty eight plus fifty three ) to the nearest tens.

Answer:

48 ( fourty eight ) is rounded off to 50 ( fifty )

And 53 ( fifty three ) is rounded off to 50 ( fifty )

48 + 53 = 50 + 50

                    = 100

Note :

·       48 ( fourty eight ) Rounding numbers to nearest tens is 50 ( fifty ) [because 8 ( eight ) is more than 5 ( five )]

·         53 ( fifty three ) Rounding numbers to nearest tens is 50 ( fifty ) [because 3 ( three ) is less than 5 ( five )]

Thus, the estimation of 48 + 53 ( fourty eight plus fifty three ) to the nearest tens is 100

( one hundred )

b.      Estimate the Result of Arithmetic Operations to the Nearest hundreds

Example

1.)    Determine the estimated to the nearest hundreds of the following arithmetic operations.

a.       325 - 185 ( three hundreds twenty five minus one hundreds eighty five ) approx …

b.      815 : 120 ( eighty hundreds fifteen by divided one hundreds twenty ) approx …

Answer:

a.      325 - 185 ( three hundreds twenty five minus one hundreds eighty five ) estimation

300 - 200 ( three hundred minus two hundred ) approximately 100 ( one hundreds ).

b.      815 : 120 ( eighty hundreds fifteen by divided one hundreds twenty )  estimation

800 : 100 ( eight hundreds by divided one hundreds ) approximately 8 ( eight ).

2.)  Estimate 476 – 325 ( four hundred seventy six minus three hundred twenty five ) to the nearest hundreds.

Answer:

476 ( four hundred seventy six ) is rounded off to 500 ( five hundred ) and

325 ( three hundred twenty five ) is rounded off to 300 ( three hundred )

476 – 325 = 500 – 300

                 =  200

Note :

·     476 ( four hundred seventy ) Rounding numbers to nearest hundred is 500 ( five hundred )

     [ because 76 ( seventy six ) is more than 50 ( fifty ) ]

·     325 ( three hundred twenty five ) Rounding numbers to nearest hundred is 300 ( three hundred) [ because 25 (twenty five)  is less  than 50 (fifty) ]

Thus, the estimation of 476 – 325 ( four hundred seventy six minus three hundred twenty five ) to the nearest hundreds is 200 ( two hundred ).

3.)    Estimate 5,178 : 123 ( five thousand one hundred seventy eight divided by one hundred twenty three ) to the nearest hundreds.

Answer:

5,178 ( five thousand one hundred seventy eight) is rounded off to 5,200 ( five thousand two hundred ) and

123 ( one hundred twenty three ) is rounded off to 100 ( one hundred )

5,178 : 123 = 5,200 : 100

                   = 52

Note :

·      5,178 ( five thousand one hundred seventy eight) Rounding numbers to nearest hundred is 5200( five hundred )  [ because 78 ( seventy eight ) is less than 50 (fifty ) ]

·     325 ( three hundred twenty five ) Rounding numbers to nearest hundred is 300 ( three hundred ) 

      [ because 25 ( twenty five )  is less  than 50 ( fifty ) ]

Thus, the estimation of  5,178 : 123 ( five thousand one hundred seventy eight divided by one hundred twenty three ) to the nearest hundreds is 52 ( fifty two ).

c.       Estimate the Result of Arithmetic Operations to the Nearest thousands

Estimate 5,200 : 1,200 ( five thousand two hundred divided by one thousand two hundred ) to the nearest thousand.

Answer :

5,178 ( five thousand one hundred seventy eight ) is rounded off to 5,000 ( five thousand ) and

1,200 ( on thousand two hundred ) is rounded off to 1000 ( one thousand )

5,200 : 1,200 =   5,000 : 1,000

                      = 5

                                                 

Note :

·    5,200 ( five thousand two hundred ) Rounding numbers to nearest thousand is 5,000 ( five hundred )            [ because 200 ( one hundred ) is less than 500 ( five hundred ) ]

·    1,200 ( one thousand two hundred ) Rounding numbers to nearest hundred is 1,000 ( one thousand )              [ because 200 ( two hundred )  is less  than 500 ( five hundred ) ]

Thus, the estimation 5,200 : 1,200 ( five thousand two hundred divided by one thousand two hundred ) to the nearest thousand is 5 ( five )

d.      Resolving story problem

Example:

Mr. Ghandi has 42 kg ( fourty two kilograms ) of sweet potato.

Mr. Banu has 89 kg ( eighty nine kilograms ) of sweet potato.

Mr. Jaya has 63 kg ( sixty three kilograms ) of sweet potato.

Estimate the total amount of sweet potato of there people to the nearest tens.

Answer:

42 ( fourty two ) close to 40 ( fourty ) or is approximately 40 ( fourty ).

89 ( eighty nine ) close to 90 ( ninety ) or is approximately 90 ( ninety ).

63 ( sixty three ) close to 60 ( sixty ) or is approximately 60 ( sixty ).

42 + 89 + 63 ( fourty two plus eighty nine plus sixty three ) is approximately 40 + 90 + 60 = 190 

( fourty plus ninety plus sixty )

Thus, the total amount of sweet potato of the there people is about 190 kg ( one hundreds ninety kilogram ). 

Thus the discussion about the math estimation, may be useful guys ;)