Numbers | Term 1 Chapter 2 | 5th Maths - Place value chart
Place value chart
Let us learn to use Abacus
Place value and comparison of numbers
Place value chart
Fill the correct numbers in the following table.
Let us learn to use Abacus
Example: 1
The abacus shows the number: 7,341.
Number name: Seven thousand three hundred and forty one.
Expanded form: 7 thousands + 3 hundreds + 4 ten + one
\( = 7000 + 300 + 40 + 1 \)
\( = 7 \times 1000 + 3 \times 100 + 4 \times 10 + 1 \)
Try this
Add 4 tens 2 thousands to this number 345678.
Solution:
\( 345678 + 2040 = 347718 \)
\( = 3 \times 100000 + 4 \times 10000 + 7 \times 1000 + 7 \times 100 + 1 \times 10 + 8 \times 1 \)
Activity: 1
The above Abacus shows the number 34,284
Number name: Thirty four thousand two hundred and eighty four.
Expanded form: 3 Ten thousands + 4 thousands + 2 hundreds + 8 tens + 4 ones.
\( = 30,000 + \underline{4000} + 200 + \underline{80} + \underline{4} \)
\( = 3 \times 10000 + 4 \times \underline{1000} + 2 \times 100 + 8 \times \underline{10} + \underline{4 \times 1} \)
Abacus:
Abacus is a counting device that consists of a frame holding rods on which a specific number of beads are free to move, each rod denotes place values such as units, tens, hundreds, etc…
Activity: 2
Number: 52,41,258
Number name: Fifty two lakhs forty one thousands two hundred and fifty eight.
Expanded form: 5 ten lakhs + 2 lakhs + 4 ten thousands + 1 thousand + 2 hundred + 5 tens + 8 ones
\( = 5000000 + \underline{200000} + 40000 + \underline{1000} + 200 + 50 + 8 \)
Try this
How many thousands are there in 3,45,789?
Solution: 345 thousands are there in 3,45,789
Example: 2
The Abacus shows the number 1, 21, 35, 211
In words. One crore twenty one lakhs thirty five thousand two hundred and eleven.
Expanded form: 1 crore + 2 ten lakhs + 1 lakh + 3 ten thousands + 5 thousands + 2 hundreds +1 ten + 1 one.
\( = 1,00,00,000 + 20,00,000 + 1,00,00,000 + 30,000 + 5000 + 200 + 10 + 1 \)
\( = 1 \times 1,00,00,000 + 2 \times 10,00,000 + 1 \times 100,000 + 3 \times 10000 + 5 \times 1000 + 2 \times 100 + 1 \times 10 + 1 \)
Find it yourself.
Find the sum of the place values of 2 −> 7226382
Solution: \( 2 + 20000 + 200000 = 220002 \)
Do you know?
Name the number which has 7 zeros after one. Answer: 1 Crore
Activity: 3
Given number: 6,42,35,415
Number name: Six crores forty two lakhs thirty five thousand four hundred and fifteen.
Expanded form: 6 crores + 4 Ten lakhs + 2 Lakhs + 3 ten thousand + 5 Thousands + 4 hundreds + 1 Ten + 5 ones.
\( = 6,00,00,000 + 40,00,000 + \underline{2,00,000} + \underline{30,000} + 5000 + 400 + \underline{10} + 5 \)
\( = 6 \times \underline{10000000} + 4 \times \underline{1000000} + 2 \times 100,000 + 3 \times 10000 + 5 \times \underline{1000} + \underline{4} \times 100 + 1 \times 10 + \underline{5} \times 1 \)
Example: 3
Write the place value of each digit for the given numbers.
For example: 4 34, 56,789
Let us Know: 100 lakhs make 1 crore
Activity
Write the place value of 7 and 1 for the given numbers.
(i) 81,70,453
The place value of 7 is \( 7 \times 10000 = 70000 \)
The place value of 1 is \( 1 \times 100000 = 100000 \)
(ii) 3,46,710
The place value of 7 is \( 7 \times 100 = 700 \)
The place value of 1 is \( 1 \times 10 = 10 \)
(iii) 1,87,13,971
The place value of 7 is:
\( 7 \times 100000 = 700000 \)
\( 7 \times 10 = 70 \)
The place value of 1 is:
\( 1 \times 1 = 1 \)
\( 1 \times 10000 = 10000 \)
\( 1 \times 10000000 = 10000000 \)