NUMBERS / PLACE, FACE, TRUE VALUE

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:

Each place on the place value chart represents a power of ten. As we move left of the decimal place, the numbers increase in value. The opposite happens when we move right of the decimal point. All digit to the left of the decimal point are whole numbers. Digits to the right of the decimal point are fractional numbers. Every digit has three values: the place, the face and the actual or true value. The place times the place gives the actual value.

ENGAGE:

Students what do you know about the following terms?

Face value

Place value

Actual/true value

How do you read the number 777 ?

Are all the digits the same value?

What helped you to determine the number?

EXPLORE:

Can we read the following together and have some discussion.

Let's quickly review what the place value chart is and how numbers are positioned on the chart. Now look at the one below. This chart would represent whole numbers.

Let us listen to this video clip that will further clarify some of the concepts we have discussed.

Now watch this one to see how we treat decimals. Examine the decimal place value chart now.

What can we say about the numbers in pink?

What about those in purple?

EXPLAIN:

Differentiate between place value and face value.

Represent the following numbers on your place value mats.

1098

267

1,345,786

1,235,789,615

2.679

187.5678

Now find a partner to complete this chart below.

EXTEND/ELABORATE:

Complete this fun activity.

fun activity.

Do this quick exercise.

EVALUATION:

Do numbers 1-6 plus any other two activity sheets.

1.     (1)  Find the difference between the values of the digits underlined.

(a)    567964         (b) 127819

2.      (2) Write the following numbers in worded form using place value chart as a guide.

(a)    600606      (a)7487356

3.      (3)  Robert and Shawn were asked to write the value of each 6 in the number 6666 below. They gave their answers as follow.

6             6            6          6              ⇩             ⇩           ⇩          ⇩          6000        600         60         6   ROBERT

6           6           6          6                        ⇩           ⇩           ⇩         ⇩                      600         60           6         1   SHAWN

(a)    Which of the boys’ response is correct?

(b)   Justify your answer.___________________________________________________________

4.       (4) Consider the number 1593. Which digit has the greatest value?  Give reason for your answer.

5.       (5) Place the numbers in the table below in ascending order

25496

7654

1987526

340724

90063

 

1.      6.  Tick true or false for the statements below.

STATEMENTS	TRUE	FALSE
Each place on the place value chart is 10 times larger than the other.
The value of each digit in a number depends on its position in the number.
The value of numbers decrease as we move to the left of the place value chart.
To get the value of a digit in a number, we multiply the digit by the place it holds on the place value chart.

#7

Read given scenario from the chalkboard which will lead to discussion.

Paula was asked to find the sum of 4675 and 291. She set out the problem as follows:                                       4 6 7 5                                  +  2 9 1                                 _________         Do you believe Paula will arrive at the correct answer? Yes/No                                                              Give reason/s to justify your answer.

 

#10

#11

Janice Bowes -Wellinghton - Place Value - Google Slides

Open the link below and complete the activity

ACTIVITY: Place Value