CBSE Class 5 Mathematics Numbers Assignment

1) Write the numerals for the following:
a) Seven lakhs forty six thousand two hundred five.
b) Fifty five lakhs eight thousand.
c) Thirteen thousand two hundred thirteen.
Answer : a) 7,46,205 
b) 55,08,000 
c) 13,213

2) Fill in the blanks:
a) There are ______ months in a year.
b) A week has _____ days.
c) 1 Km = _____ m.
d) 7 Kg = _____ g.
e) ½ of 18 = _____.
f) 3/8 of 32 = _____.
Answer : a) 12 
b) 7 
c) 1000 
d) 7000 
e) 6
f) 12

3) Write the short form:
a) 700000+60000+1000+900+20+6
b) 50000+0+300+20+8
Answer : a) 7,61,926
b) 50,328

4) Write in expanded form:
a) 23985 
b) 7950
Answer : a) 20000+3000+900+80+5 
b) 7000+900+50+0

5) Put the sign < , > , =:
a) 2/7 _____ 5/7 
c) 3/5 _____ 1/5
b) 2/9 _____ 2/7 
d) 4/7 _____ 4/11
Answer : a) < 
b) < 
c) > 
d) >

6) Solve the following:
a) 20707 – 8859
b) 99999 – 12345
Answer : a) 11,848
b) 87,654

7) Find the product of:
a) 2354*45 
b) 78021*67 
c)12.364*10
Answer : a) 10,59,030 
b) 52,27,407
c)123.64

8) Divide the following:
a) 450 by 5
b) 232 by 4 
c) 967.34 by 100
Answer : a) 9 
b) 58 
c) 9.6734

QNO1: Put the commas and write the following number in words according to Indian and International place value system.
4530096
Answer:
Indian System with commas: \(4,53,00,96\)
In words (Indian System): Forty-five lakh thirty thousand ninety-six
International System with commas: \(4,530,096\)
In words (International System): Four million five hundred thirty thousand ninety-six
In simple words: Commas help us read large numbers easily by grouping digits into periods like thousands and lakhs or millions.
Exam Tip: In the Indian system, commas are placed after 3 digits from the right and then after every 2 digits. In the International system, commas are placed after every 3 digits from the right.

QNO2: How many numbers have 4-digits?
Answer:
Greatest 4-digit number = 9999
Greatest 3-digit number = 999
Total 4-digit numbers = 9999 - 999 = 9000
In simple words: To find how many numbers exist with a specific number of digits, subtract the greatest number of the previous digit from the greatest number of that digit.

Exam Tip: Always subtract the highest number of the lower digit category (e.g., highest 3-digit number for 4-digit numbers) from the highest number of the target category.

QNO3: Form the greatest and smallest 9-digit number (you can repeat the digits)
5, 9, 4, 0, 1
Answer:
Given digits: 5, 9, 4, 0, 1
To form the greatest 9-digit number, repeat the largest digit (9) to fill the remaining places:
Greatest 9-digit number = 999999954
To form the smallest 9-digit number, repeat the smallest non-zero digit (1) or use 0 appropriately, but since repetition is allowed and 0 cannot be the leading digit, we use 1 as the first digit and repeat 0 for the remaining lower places:
Smallest 9-digit number = 100000045
In simple words: For the greatest number, put the biggest digit first and repeat it. For the smallest number, start with the smallest non-zero digit and repeat zero to fill up to 9 digits.

Exam Tip: A number can never start with 0 when forming the smallest number; always place the smallest non-zero digit first.

QNO4: Write the place value and face value of 7 and 8 in 4573820.
Answer:
Given number = 4,57,3,820
For digit 7:
Face value of 7 = 7
Place value of 7 = \(7 \times 10,000 = 70,000\)
For digit 8:
Face value of 8 = 8
Place value of 8 = \(8 \times 100 = 800\)
In simple words: Face value is the digit itself, while place value depends on the position of the digit in the number.

Exam Tip: Face value never changes regardless of position, but place value changes based on the place (ones, tens, hundreds, thousands, etc.).

QNO5: Solve the following and write the answers in Roman numerals.
a) XCVI - LXXII
Answer:
XCVI = 96
LXXII = 72
\(96 - 72 = 24\)
24 in Roman numerals = XXIV
In simple words: Convert Roman numerals to Hindu-Arabic numbers, perform the subtraction, and convert the result back to Roman numerals.

Exam Tip: Always double-check subtraction before converting back to Roman numerals.

b) LXXXIX + XI
Answer:
LXXXIX = 89
XI = 11
\(89 + 11 = 100\)
100 in Roman numerals = C
In simple words: Add the values of the Roman numerals together and write the equivalent Roman symbol for the sum.

QNO6: Give the expanded form of 56703670 in Indian as well as in international system.
Answer:
Indian System Expanded Form:
\(5,67,03,670 = 5 \text{ crore} + 6 \text{ ten lakh} + 7 \text{ lakh} + 0 \text{ ten thousand} + 3 \text{ thousand} + 6 \text{ hundred} + 7 \text{ ten} + 0 \text{ one}\)
Or: \(50,000,000 + 6,000,000 + 700,000 + 3,000 + 600 + 70\)
International System Expanded Form:
\(56,703,670 = 50 \text{ million} + 6 \text{ million} + 7 \text{ hundred thousand} + 0 \text{ ten thousand} + 3 \text{ thousand} + 6 \text{ hundred} + 7 \text{ ten} + 0 \text{ one}\)
Or: \(50,000,000 + 6,000,000 + 700,000 + 3,000 + 600 + 70\)
In simple words: Expanded form shows the value of each digit based on its place value added together.
Exam Tip: Zeros do not need to be written in the numerical expanded form addition equation, but mentioning them helps avoid missing digits.