Worksheet - 1
Grade: V Subject: Mathematics Date: 19.04.2025
Topic: Numbers
Learning Objective:
Understand the numbers beyond 9,99,999 including their place values in Indian and
International Place-Value System. Understand Roman Numerals
• Find out the successor and predecessor of these numbers.
• Round off the numbers to given place values.
Section 1: Concept Review
1. Indian Place Value International Place Value
• Nine places are grouped • Nine places are grouped
into four periods: ones, into three periods: ones,
thousands, lakhs, and thousands, and millions.
crores. • Place Values: Ones, tens,
• Place Values: Ones, tens, hundreds, thousands, ten
hundreds, thousands, ten thousands, hundred
thousands, lakhs, ten thousands, million, ten
lakhs, crores, and ten million, and hundred
crores. million.
• It follows the 3:2:2 • It follows the 3:3:3
system of placing system of placing
commas. commas.
2. Successor: A successor is a term that comes right after a particular value. Suppose
n is a number (where n belongs to any whole number), then the successor of n is
‘n+1’.
Examples of Successor:
If n = 5, then successor of 5 is 5 + 1 = 6
Predecessor: A predecessor is a value that comes right before a particular value.
Suppose a value is x (where x belongs to any whole number), then the predecessor of
x will be x-1. Thus, to find the predecessor of any value, we must subtract 1 from the
given value.
Examples of Predecessor
If x = 5, then predecessor of 5 is 5-1 = 4
3. Rounding off the numbers: Rounding number is the process of approximating the
number to its closest value.
This value is an easier representation of the given number. For example, the population
of a town could be easily expressed as 700,000 rather than 698,869. Rounding
numbers makes calculations simpler, resulting in a figure that is easy to remember.
There are some basic rules that need to be followed for rounding numbers:
• We first need to know what our rounding digit is.
• After this, we need to check the digit to the right of this place which will decide the
rule for rounding digit.
• If the digit to the right is less than 5, we do not change the rounding digit.
However, all the digits to the right of the rounding digit are changed to 0.
• If the digit to the right is 5 or more than 5, we increase the rounding digit by 1, and
all the digits to the right of the rounding digit are changed to 0.
4. Roman Numerals: Remember these values:
I V X L XL C D M
1 5 10 50 40 100 500 1000
Rules:
•
The value of the symbol is added to itself, as many times as it is repeated. (Ex. II =
2, XX = 20 and XXX = 30).
• A symbol can be repeated only for three times, for example XXX = 30, CC = 200,
etc.
• Symbols V, L, and D are never repeated.
• When a symbol of smaller value appears after a symbol of greater value, its
values will be added. For Example: VI = V + I = 5 + 1 = 6.
• When a symbol of a smaller value appears before a greater value symbol, it will be
subtracted. For Example: IX = X – I = 10 – 1 = 9.
• The symbols V, L, and D are never subtracted, as they are not written before a
greater value symbol.
• The symbol I can be subtracted from V and X only and symbol X can be
subtracted from symbols L, M and C only.
Section 2: Practice Questions
1. The smallest counting number is ______.
2. The smallest whole number is ________.
3. Write each of the following in words:
i. 59,380 ii. 3,05,784 iii. 9,00,008 iv. 9,99,999
4. Write each number name in numeral.
Number Name Numeral
Thirteen thousand five hundred eighty-six 13,586
Fifty-four thousand nine hundred seven
Eighty thousand seven hundred
Sixty thousand five
Five lakh forty-three thousand nine hundred fifty-six
5. What is the place value of:
i. 7 in 87930 ii. 8 in 2801
6. What is the difference between the place values of:
i. Two sevens in the 70674?
ii. Two fours in the 123494?
7. Write the following numbers in ascending order:
i. 42734; 5358; 42876; 52287
ii. 80808; 80088; 88008; 80008; 88808
8. Write the following numbers in descending order:
i. 76845; 87465; 67854; 86754
ii. 420000; 427245; 423675; 421032
9. Write predecessor and successor of each of the following numbers:
Predecessor Number Successor
Ex. 56,72,90,988 56,72,90,989 56,72,90,990
i. 12,00,23,670
ii. 9,10,11,249
iii. 70,00,80,001
10. Rewrite each of the following numbers using periods and place them in the International place
value chart:
i. 497026 ii. 83460 iii. 800008
11. Write the numerals for the given number names, as per the International system:
Number name Numerals
One hundred sixteen thousand five hundred
i.
five
Six hundred thousand two hundred fifteen
ii.
iii. One hundred ten thousand thirty- nine
12. Rewrite the following in Indian Place Value System: (First write in numeral then convert it into
Indian Place Value System)
i. Six hundred twenty-seven thousand, five hundred seven.
ii. Twelve thousand, six hundred fifteen.
iii. Five hundred thousand, one hundred one.
13. Round off the following numbers to the nearest 10, 100 and 1000:
Number Nearest ten Nearest hundred Nearest
thousand
i. 84,548
ii. 40,430
iii. 835
iv. 9,543
14. Write the correct number next to each Roman numeral.
1) CC = 8) CXC =
2) CL = 9) DCCX =
3) CDV = 10) DLXXII =
4) DLX = 11) CLXXIX =
5) CML = 12) DCCLXX =
6) CXXV = 13) CMXXXVII =
7) DLVI = 14) DCLXXXIV =
15. Write the correct Roman numerals for the given number.
1) 150 = 8) 532 = _______
2) 320 = 9) 809 =
3) 615 = 10) 674 = _______
4) 94 = 11) 298 = _______
5) 412 = 12) 943 = _______
6) 541 = 13) 477 = _______
_________
7) 225 = 14) 839 =
Section 3: Case-Based Question
Riya went to the grocery shop and bought 2kg salt, 4kg sugar, 8kg wheat, 9kg
moong dal ,3kg tea powder, 7kg jowar. From the given quantity of groceries, form
the numbers as directed below:
Indian System
The largest
possible number
Number name
The smallest
possible number
Number name
International System
The largest
possible number
Number name
The smallest
possible number
Number name
Section 4: Reflection / Self-Assessment
• One thing I understood well: _____________________________________
• One thing I need help with: _____________________________________
