NUMBERS/EXPANDED FORM

FOCUS QUESTION:

How do I write numbers in the different number system?

SPECIFIC OBJECTIVE:

Read, write and use numbers, using the principle of place value, in the Hindu-Arabic system of numeration.

CONTENT SUMMARY:

We can also write decimals using standard notation.

For example, if our number were 236.82, expanded form and notation would look like this:

200 + 30 + 6 + 0.8 + 0.02 = 236.82

(2 x 100) + (3 x 10) + (6 x 1) + (8 x 1/10) + (2 x 1/100) = 236.82

ENGAGE

Students, what do you recall about place value from the lesson we looked at last?

You will recall that we are able to find the value of a number by multiplying the face by the place.

Let's think of the number below: See how we are able to easily determine the value of each digit.

4 5 7

4= 4 x 100 = 400

5= 5 x 10 = 50

7= 7 x 1 = 7

Value = 400+50+7 = 457

Well what you have been doing is actually called EXPANDED FORM.

EXPLORE

Watch this video to learn more about the EXPANDED FORM.

Basically when we write in the expanded form  we are actually composing and decomposing numbers. 

Now can you quickly write the following in expanded form.

5,879,543

687

2,678

EXPLAIN

Now tell me what the expanded form is.

Give examples of the expanded form.

EXTEND/ELABORATE

Now let's try to write these decimals in expanded forms.

2567.794

4.65

987.651

Find a partner to complete the following.

EVALUATION

1.      1. Write standard numerals for the following:

(a)    40,000 +  9000 + 200 + 60 + 7 =            (b) 1,000,000 + 600 + 40 + 2 =

2.       2. Write the following whole numbers in expanded form:

(a)    5,768,965                     (b)  786, 944           (c)  32,564, 345

3.       3. Write the highest and smallest number from the following: [78946]

4.       4. What is the highest number that can be formed from  81942, using 9 in the tens place and 4 in the thousands place?

      5. What number is represented on the chart below?

          

     (A) 2815.17    (B) 2725.17    (C) 2626.17   (D) 2617.17