A Story on Numbers for Class 8: Important Questions and Answers

Important Questions on A Story on Numbers for Class 8 are available in this Maths article. Important Questions on A Story on Numbers for Class 8 are very useful to solve the problems easily. This article helps the students to know the key questions and answers about A Story on Numbers. A Story on Numbers covers the history and properties of numbers, number systems, and their applications, which we use in everyday calculations. Our subject experts have provided detailed solutions for these problems based on the CBSE syllabus and the NCERT textbook. This material helps students revise the chapter easily and perform well in the final examination. 

Table of Contents

• Exercise 1.1: Introduction to Number Systems
• Exercise 1.2: Place Value and Expanded Form
• Exercise 1.3: Roman Numerals and Number Patterns
• Exercise 1.4: Applications of Numbers in Daily Life
• Tips for Understanding A Story on Numbers for Class 8
• Most Common Examination Questions (Board Exams)

Exercise 1.1: Introduction to Number Systems

Question 1: What is a number system?

Answer: A number system is a method of writing and representing numbers using symbols or digits.

Question 2: Which number is called the additive identity?

Answer: Zero is called the additive identity because adding zero to any number does not change its value.

Question 3: Who introduced the concept of zero?

Answer: Ancient Indian mathematicians introduced the concept of zero.

Question 4: Write the Roman numeral for 50.

Answer: The Roman numeral for 50 is L.

Question 5: Write the Hindu-Arabic numeral for XX.

Answer: XX = 10 + 10 = 20

Exercise 1.2: Place Value and Expanded Form

Question 1: Find the place value of 5 in 4,582.

Answer: The digit 5 is in the hundreds place.

Place value = 5 × 100 = 500

Question 2: Write 7,305 in expanded form.

Answer: 7,305 = 7,000 + 300 + 5

Question 3: What is the smallest 4-digit number?

Answer: The smallest 4-digit number is 1000.

Question 4: Find the digit in the tens place of 8,946.

Answer: The digit in the tens place is 4.

Question 5: Write the number formed by:

• 6 thousands

• 4 hundreds

• 3 tens

• 2 ones

Number = 6,000 + 400 + 30 + 2

Answer: 6,432

Exercise 1.3: Roman Numerals and Number Patterns

Question 1: Write 40 in Roman numerals.

Answer: 40 = XL

Question 2: Convert XC into Hindu-Arabic numerals.

Answer:

X = 10
C = 100

Since X comes before C, subtract 10 from 100.

100 − 10 = 90

Answer: 90

Question 3: Write the Roman numeral for 99.

Answer:

99 = XCIX

Question 4: Find the next number in the pattern: 2, 4, 8, 16, ___

Answer: Each number is multiplied by 2.

16 × 2 = 32

Question 5: Find the next number: 5, 10, 15, 20, ___

Answer: The pattern increases by 5.

20 + 5 = 25

Exercise 1.4: Applications of Numbers in Daily Life

Question 1: Why are numbers important in daily life?

Answer: Numbers help us count, measure, calculate money, and manage time.

Question 2: How are numbers used in shopping?

Answer: Numbers are used to calculate prices, discounts, and bills.

Question 3: A student reads 15 pages on Monday and 20 pages on Tuesday. How many pages were read in total?

Answer:

Pages read on Monday = 15
Pages read on Tuesday = 20

15 + 20 = 35

Question 4: Why is place value important?

Answer: Place value helps us understand the value of digits based on their position in a number.

Question 5: A shopkeeper sold 125 notebooks in one day and 175 notebooks the next day. Find the total notebooks sold.

Answer: 125 + 175 = 300

300 notebooks

Tips for Understanding A Story on Numbers for Class 8

1. Learn Roman numeral symbols carefully.

2. Practice place value sums every day.

3. Understand number patterns step by step.

4. Revise expanded form questions regularly.

5. Solve word problems for better understanding.

6. Use charts to remember Roman numerals.

7. Practice writing large numbers correctly.

8. Read examples from the textbook carefully.

9. Revise formulas and concepts before exams.

10. Solve previous year important questions.

Most Common Examination Questions (Board Exams)

1 – 2 Mark Questions (Very Frequently Asked)

Question 1: Write the Roman numeral for 90.

Answer: The Roman numeral for 90 is XC.

Question 2: Find the place value of 6 in 4,681.

Answer: The digit 6 is in the hundreds place.

Place value = 6 × 100 = 600

Answer: 600

Question 3: Write 5,432 in expanded form.

Answer: 5,432 = 5,000 + 400 + 30 + 2

Question 4: Convert XL into Hindu-Arabic numerals.

Answer:

X = 10
L = 50

Since X comes before L, subtract 10 from 50.

50 − 10 = 40

Answer: 40

Question 5: Find the next number in the pattern: 3, 6, 9, 12, ___

Answer: The pattern increases by 3.

12 + 3 = 15

Answer: 15

3 – 4 Mark Questions (Frequently Asked)

Question 1: Write the Roman numeral for 49 and explain the steps.

Answer:

40 = XL
9 = IX

49 = XL + IX

Answer: XLIX

Question 2: Find the place value of each digit in 7,458.

Answer:

• 7 → thousands place = 7,000

• 4 → hundreds place = 400

• 5 → tens place = 50

• 8 → ones place = 8

Question 3: Write 8,604 in expanded form and word form.

Answer:

Expanded form:

8,604 = 8,000 + 600 + 4

Word form:

Eight thousand six hundred four

Question 4: Convert XCIV into Hindu-Arabic numerals.

Answer:

XC = 90
IV = 4

90 + 4 = 94

Answer: 94

Question 5: Identify the pattern and write the next two numbers: 2, 6, 18, 54, ___, ___

Answer:

Each number is multiplied by 3.

54 × 3 = 162
162 × 3 = 486

Answer: 162, 486

5 – 6 Mark Questions (Less Frequent but Important)

Question 1: Explain the difference between Roman numerals and Hindu-Arabic numerals with examples.

Answer: Roman numerals use letters such as I, V, X, L, C, D, and M to represent numbers.

Example:

• XX = 20

• XL = 40

Hindu-Arabic numerals use digits from 0 to 9.

Example:

• 20

• 40

The Hindu-Arabic system is easier for calculations and includes zero, while Roman numerals do not use zero.

Question 2: A shopkeeper sold 245 pens on Monday, 315 pens on Tuesday, and 440 pens on Wednesday. Find the total number of pens sold.

Answer:

Pens sold on Monday = 245
Pens sold on Tuesday = 315
Pens sold on Wednesday = 440

Total = 245 + 315 + 440

= 560 + 440

= 1,000

Answer: 1,000 pens

Question 3: Write the Roman numerals for the following:
(a) 65
(b) 89
(c) 95

Answer:

(a) 65 = LXV
(b) 89 = LXXXIX
(c) 95 = XCV

Question 4: Explain the importance of place value with an example.

Answer:

Place value helps us understand the value of a digit according to its position in a number.

Example:
In the number 5,432:

• 5 represents 5 thousands = 5,000

• 4 represents 4 hundreds = 400

Without place value, numbers cannot be understood correctly.

Question 5: Study the pattern and answer the questions: 1, 4, 9, 16, 25, ___

(a) Write the next number.
(b) Identify the pattern.

Answer:

(a) The next number is 36.

(b) The pattern is square numbers:

• 1² = 1

• 2² = 4

• 3² = 9

• 4² = 16

• 5² = 25

• 6² = 36

Answer: Next number = 36; Pattern = Square numbers.