Whole Numbers Exploration Worksheet

1. True / False (1 pts)

Counting numbers have meaning only when referring to specific objects.

✓ Answer

True

2. True / False (1 pts)

Zero is not used when counting discrete objects.

✓ Answer

True

3. True / False (1 pts)

Every whole number has a successor.

✓ Answer

True

4. True / False (1 pts)

The additive identity of whole numbers is 1.

✓ Answer

False

5. True / False (1 pts)

1 is the only number that is simultaneously a power of both 2 and 3.

✓ Answer

True

6. True / False (1 pts)

The associative property applies to addition of whole numbers.

✓ Answer

True

7. True / False (1 pts)

Multiplication of whole numbers is always commutative.

✓ Answer

True

8. True / False (1 pts)

Subtraction of whole numbers is commutative.

✓ Answer

False

9. True / False (1 pts)

Division of whole numbers is commutative.

✓ Answer

False

10. True / False (1 pts)

The successor of a whole number is always greater than the original number.

✓ Answer

True

11. Multiple Choice (2 pts)

How many whole numbers are smaller than 8?

✓ Answer

A. 7

12. Multiple Choice (2 pts)

What is the additive identity of whole numbers?

✓ Answer

A. 0

13. Multiple Choice (2 pts)

Which number is simultaneously a power of both 2 and 3?

✓ Answer

A. 1

14. Multiple Choice (2 pts)

What is the successor of the smallest whole number?

✓ Answer

A. 1

15. Multiple Choice (2 pts)

What is the successor of 8,06,998?

✓ Answer

C. 8,06,999

16. Multiple Choice (2 pts)

Which property is demonstrated by the equation 2 + 4 = 4 + 2?

✓ Answer

B. Commutative

17. Multiple Choice (2 pts)

Which property is used in the expression 64 × 12 + 64 × 14?

✓ Answer

A. Distributive

18. Multiple Choice (2 pts)

Which pattern is often observed in whole numbers?

✓ Answer

A. Arithmetic sequence

19. Multiple Choice (2 pts)

Which property allows rearranging numbers in multiplication?

✓ Answer

A. Commutative

20. Multiple Choice (2 pts)

Which operation among whole numbers is not commutative?

✓ Answer

C. Subtraction

21. Fill in the Blank (2 pts)

The set of numbers used for counting is known as _____ .

✓ Answer

whole numbers

22. Fill in the Blank (2 pts)

The number 0 is often referred to as the _____ element in addition.

✓ Answer

identity

23. Fill in the Blank (2 pts)

When 8,06,998 is increased by one, it becomes _____ .

✓ Answer

8,06,999

24. Fill in the Blank (2 pts)

The number that comes immediately after a given whole number is its _____ .

✓ Answer

successor

25. Fill in the Blank (2 pts)

The result of adding two numbers is called their _____ .

✓ Answer

sum

26. Fill in the Blank (2 pts)

In the expression 64 × (12 + 14), the _____ property is applied.

✓ Answer

distributive

27. Fill in the Blank (2 pts)

Every whole number has a _____ which comes immediately before it.

✓ Answer

predecessor

28. Fill in the Blank (2 pts)

Subtraction is not a _____ operation.

✓ Answer

commutative

29. Fill in the Blank (2 pts)

We do not use 0 for _____ since it represents the absence of quantity.

✓ Answer

counting

30. Fill in the Blank (2 pts)

The _____ property allows numbers to be regrouped during addition.

✓ Answer

associative

31. Word Problem (5 pts)

If there are 25 students in a class and each student has 2 pencils, how many pencils are there in total? Show your working.

✎ Worked Solution

Step 1: Multiply the number of students by the number of pencils per student.

Step 2: 25 × 2

Answer: 50 pencils

32. Word Problem (5 pts)

A school has three sections with 4, 5, and 6 teachers respectively. What is the total number of teachers? Show your working.

✎ Worked Solution

Step 1: Add the number of teachers in each section.

Step 2: 4 + 5 + 6

Answer: 15 teachers

33. Word Problem (5 pts)

In a test with 40 questions, if each wrong answer deducts 1 mark, how many marks are deducted when all answers are wrong? Show your working.

✎ Worked Solution

Step 1: Multiply the number of questions by the deduction per question.

Step 2: 40 × 1

Answer: 40 marks deducted

34. Word Problem (5 pts)

If you had 2 chocolates and gave both away, how many chocolates would you have left? Show your working.

✎ Worked Solution

Step 1: Start with the total number of chocolates.

Step 2: Subtract the number given away: 2 - 2

Answer: 0 chocolates

35. Word Problem (5 pts)

Using the distributive property, calculate 102 × 6 by breaking 102 into 100 and 2. Show your working.

✎ Worked Solution

Step 1: Express 102 as 100 + 2

Step 2: Calculate 100 × 6 + 2 × 6

Answer: 600 + 12 = 612

36. Word Problem (5 pts)

A shop sells oranges at 3 units each. How much would 15 oranges cost? Show your working.

✎ Worked Solution

Step 1: Identify the cost per orange.

Step 2: Multiply the cost by the number of oranges: 15 × 3

Answer: 45 units

37. Word Problem (5 pts)

Amal supplies 15 litres of milk daily at a rate of 30 per litre. How much does he earn in a week? Show your working.

✎ Worked Solution

Step 1: Calculate daily earnings: 15 × 30

Step 2: Multiply by 7 for a week: (15 × 30) × 7

Answer: 3150

38. Word Problem (5 pts)

Raman incurs a daily travel expense of 150. How much does he spend in the month of June (30 days)? Show your working.

✎ Worked Solution

Step 1: Multiply the daily expense by 30.

Step 2: 150 × 30

Answer: 4500

39. Word Problem (5 pts)

Sonu attends music class 4 days a week and Manu attends 3 days a week. Calculate the total number of days they attend in a year (assume 52 weeks). Show your working.

✎ Worked Solution

Step 1: Calculate weekly attendance: 4 + 3 = 7 days

Step 2: Multiply by 52: 7 × 52

Answer: 364 days

40. Word Problem (5 pts)

Using the distributive property, compute (15 - 3) × 20 by expanding the expression. Show your working.

✎ Worked Solution

Step 1: Expand the expression to 15×20 - 3×20

Step 2: Compute the values: 300 - 60

Answer: 240