Mathematics 5

Quarter 1- Module 1
Lesson 1

What this module is about?

  This module is intended for the grade five learners. This is written to respond the needs of the time. The
learners are expected to completely study this module on the first week after the opening of the School
Year. The activities of this module will help the learners to understand the place value and value of the
numbers based on its position within the number.

Your parents or elder brothers and sisters play a very important role in learning the activity. If there
are instructions or activities which are not very clear for you, please ask them to help you.

Lesson 1: Place Value

What I need to know?

 Identify the place value and value of the numbers based on its position within the number.
 Write the value of the given numbers.
 Solve problems involving place value and value.

What’s new?
Place Value Through Billions

The Sun’s family known as the solar system has 9 planets, 33 satellites, thousands of asteroids, millions of
meteors, and numerous comets. The sun is some 149 million 6 hundred thousand kilometers away from the
Earth. How large is 149 600 000? The place Value chart below will help us understand the value of each digit in
this numeral.

Periods Billions Millions Thousands Units

10 000 000 000Ten billions

100 000 000Hundred millions

1Ones
100 000 000 000Hundred billions

10 000 000Ten millions

100 000Hundred thousands

1 000 000 000Billions

10 000Ten Thousands
1 000 000 Millions

1 000Thousands

Place Values
100Hundreds

10Tens

Digits 1 4 9 6 0 0 0 0 0
4 4 9 7 0 0 0 0 0 0
Notice that spaces are used to
separate the digits into groups of three, beginning at the right. Each group of three is called a period. Start
reading the period from left to right where there are significant figures. The last period is never mentioned.

Place Value Value

149 600 000 = 1 hundred millions 100 000 000
4 ten millions 40 000 000
9 millions 9 000 000
6 hundred thousands 600 000
0 ten thousands 0
0 thousands 0
0 hundreds 0
0 tens 0
0 ones 0
4 497 000 000 4 billions 4 000 000 000
4 hundred millions 400 000 000
9 ten millions 90 000 000
7 millions 7 000 000
0 hundred thousands 0
0 ten thousands 0
0 thousands 0
0 hundreds 0
0 tens 0
0 ones 0

Other forms to show the place value of each digit in a numeral is the expanded notation:
 158 672 943 = (1 x 100 000 000) + (5 x 10 000 000) +
(8 x 1 000 000) + (6 x 100 000) + (7 x 10 000) +
(2 x 1 000) + (9 x 100) + (4 x 10) + (3 x 1)

What’s more?

Day 1 Activity:

Write each digit in their proper places in the place value chart.

Period Billions
10 000 000 000Ten billions Millions Thousands Units

100 000 000Hundred millions

1Ones
100 000 000 000Hundred billions

10 000 000Ten millions

Place Value

100 000Hundred thousands

1 000 000 000Billions

10 000Ten Thousands
1 000 000 Millions

1 000Thousands

100Hundreds

10Tens
4 535
2 136 748
6 568 544
456
10 256

Day 2 Activity:

A. Express the following numerals in expanded notation.

1. 1 813 781 __________________________________________________

2. 252 218 130 __________________________________________________
3. 3 015 425 921 __________________________________________________
4. 84 635 240 109 __________________________________________________
5. 531 838 719 060 __________________________________________________

B. A. Write the value and the place value of the underlined digit in each of the following numerals.
VALUE PLACE VALUE
1. 76 273 ________________________ _______________________
2. 463 493 ________________________ _______________________
3. 7 023 458 ________________________ _______________________
4. 68 734 565 ________________________ _______________________
5. 934 875 332 410 ________________________ _______________________

Day 3 Activity:
Express the following expanded notation to its numerical forms.

1. ______________ (3 X 10 000) + (5 X 1 000) + (1 X 100) + (7 X 10) + (8 X 1)

2. ______________ (6 X 10 000 000) + (5 X 1 000 000) + (0 X 100 000) + (0 X 10 000)
+ (2 X 1 000) + (4 X 100) + (3 X 10) + (4 X 1)
3.______________ (7 X 100 000) + (0 X 10 000) + (4 X 1 000) + (2 X 100) + (0 X 10)
+ (6 X 1)
4. ______________ (6 X 100 000 000) + (4 X 10 000 000) + (1 X 1 000 000) + (2 X 100 000)
+ (2 X 10 000) + (5 X 1 000) + (0 X 100) + (0 X 10) + (8 X 1)
5. ______________ (1 X 100 000) + (7 X 10 000) + (4 X 1 000) + (0 X 100) + (3 X 10)
+ (0 X 1)

Day 4 Activity:
A. Give the place value of “5” in each numeral.
________________1. 8 483 987 765 ______________ 6. 182 143 265
________________2. 4 424 316 588 ______________ 7. 5 464 132
________________3. 12 164 528 ______________ 8. 80 615 324
________________4. 497 725 ______________ 9. 871 950
________________5. 5 971 ______________ 10. 537 421

B. Write the value of the underlined digit in each numeral.

_________________________1. 2 520 100
_________________________2. 10 602 9
_________________________3. 4 512 936
_________________________4. 4 762 929
_________________________5. 4 268 128
_________________________6. 987
_________________________7. 2 952
_________________________8. 1 018
_________________________9. 719 263
_________________________10. 913 333 658 427

What I have learned?

Solve the following problems.

1. What is the value of 5 followed by eleven zeros?
2. How much greater is the value of 3 in the millions place than 3 in the hundred thousands place?
3. Given the number 35 846 173, what would be the place value of the number after 4?
4. In the number 46 231 851, what is the place value of each digit below?
4 ___________ 6 ___________ 2___________ 3___________1___________ 8___________
5___________ 1____________
5. What would be the value of 49 followed by seven zeros?

What I Can Do

Read and answer each question or statement.

1. What is the value of the missing number in 82 431 756?
80 000 + 2 000 + ________ + 30 000 + 1 000 + 700 + 50 + 6

2. In 7 600 945 312, the value of 9 is _____________.

a. 900 b. 9 000 c. 90 000 d. 900 000

3. What is the greatest place value in this number, 1 345 689 213 ?
REFERENCES:

 Burgos, Jaime R. et.al. 21st Century MATHletes. 1253 G. Araneta Avenue,

Quezon City: Department of Education Bureau of Learning Resources(DepEd-BLR), Vibal Group, Inc.,
2016.
 Diaz, Maria Teresa A., Rivera, Eunice V., Hachero, Francis A. Growing with Today’s Math. Innovative
Educational Materials, Inc.