By the Name of ALLAH

1

Approximation ( Rounding)Feb. 2015

Students should be able to Grasp the

following:

1- Meaning of Approximation (Rounding).

2- Why do we approximate numbers ?.

3- Types of Approximation (Ten, Hundred,

Thousand, ..etc ,Tenth , …etc).

4- Being able to approximate numbers easily –

using strategies learnt - by themselves.

(Exercises).

Primary

Grade

BY: Norhan Ahmad - Math Educator.

Learning Objectives

2

Approximation :

Nearest Number ;)

3

What do we mean by approximation ?

Replacing the exact number, by another which is : 1- Simpler . 2- Near to it.

Example :

399 400

49.99 50

2.567 3

4950.22278 4950

3400.651 3400.7

How ?

.

.

.& So on ..

4

Now let’s stick to Cases (Types) of Approximation

(Rounding)

TO let it be more Easier when: Adding, Subtracting, Multiplying, & Dividing them.

Why do we approximate numbers ( Why

Rounding) ?

Importance

Thus ..

Idea is:

399

Approximate : ?

400395390

399Number Line

5

Cases (Types) of Approximation (Rounding)

1- Nearest Unit 1

3 6 . 51

3 7

3 7

New number

More Exercises.

Place

WholeNot decimal

Note : Circle the place you’re interested in.

Place :

Start from the right

Any number on the left Place, is kept as it is

0

6

7

2- Nearest Ten 10

4 51 0

5 0

5 0

New number

More Exercises.

Place

Place : Start from the right

Cases (Types) of Approximation (Rounding)

7

3- Nearest Hundred 100

2 6 81 0 0

3 0 0

3 0

New number

More Exercises.

Place

Place :

0

Start from the right

Cases (Types) of Approximation (Rounding)

8

2- Nearest Thousand

1000

2 9 5 01 0 0 0

3 0 0 0

0 0

New number

More Exercises.

Place

Start from the rightPlace :

3 0

Cases (Types) of Approximation (Rounding)

10

2- Nearest Tenth 0.1

2 6 . 2 70 . 1

2 6 . 3 03 0

New number

More Exercises.

Place

Start from the rightPlace :

Decimal

Any number on the left Place, is kept as it is

2 6

Cases (Types) of Approximation (Rounding)

Methodology

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SUMMARY

Assign well what’s required ; whether it’s nearest : ( Unit, Ten, Hundred, Thousand, ..

Or Tenth ).

Steps of solution

Assign the certain PLACE of required approximation ; whether the place is ( 1, 10,

100, 1000, … etc , or 0.1) , & write this place - moving from the right to the left – up

to the number needed to be approximated.

CIRCLE the interested place detected ( It’s the number under the column of number

”1“ ).

i.e: If I’m interested in place 100 (nearest hundred), & my number is 215, this means

I should circle the number “2” ( as 2 is under the column of 1 in this case).

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3

Look at the number Near to the Circled one. If the number is > or = 5 (greater than or

equals 5 ), then the circled number will be increased by “1”. But if it was < or = 5

(less than or equals 5 ), Then the circled number will be kept as it is.

i.e: the number 2 will be as it is in our example of approximating 215.

Any other Number on the right to the Circled number, will be replaced by zero.

Hence: In our example, the number 215 = 300 approximately.

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THANK YOU

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Please share or copy this to any one who may get benefit .. Spread knowledge .. Transfer the good to every one .. You’ll get it all

back .. & even more .. ~

BY: Norhan Ahmad – Math Educator.

All Praise is due to ALLAH ..The Greatest one, & only; The All-Merciful; The Originator; .. &

The Shaper of beauty

THANK YOU

BY: Norhan Ahmad - Math Educator. / All Rights Reserved.

الحمد لله، و ما توفيقي إال بالله عليه توكلت و إليه أSنيب.

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Abu Hurairah (May Allah be pleased with him) reported:

The Messenger of Allah (ملسو هيلع هللا ىلص) said, "Allah makes the way to Jannah easy for him who

treads the path in search of knowledge."

[Muslim].

Sunnah.com reference  : Book 13, Hadith 6Arabic/English book reference  : Book 13, Hadith 1381

، pلمpالع pالبsا لط usا رضsهyأجنحت Sعsلتض yةsوإن� المالئك ، pةsالجن pرقsا من ط usه طريقsب Sهsلك اللsا ، س usه علمsفي Sا يطلب usلك طريقsمن س ”

pلsكفض pدsعلى العاب pالمsالع yلsوإن� فض ، pاءsالم pوفsفي ج Sانsوالحيت ، pومن في األرض pماواتsه من في السsل Sتغفرsليس yمpالsوإن� الع

ثSsوا العpلمy فمن ا ، ور� usا وال درهم uارsوا دينSsث القمsرp ليلsةy البsدرp على سsائرp الكsواكبp ، وإن� العلمsاءy ورثsةS األنبيsاءp ، وإن� األنبيsاءy لم يSور�

أخذyه أخذ بحظ� وافر�”.

اوي: أبsو الsدرداء - المحsدث: األلبsاني - المصsدر: صsحيح أبي داوود - الصsفحة أو الsرقم: - خالصsة حكم المحsدث: 3641الsر�

#صحيح.