Exploring Whole Numbers

1. True / False (1 pts)

Counting numbers include zero.

✓ Answer

False

2. True / False (1 pts)

The successor of any whole number can be found by adding one.

✓ Answer

True

3. True / False (1 pts)

The sum of any two whole numbers is always a whole number.

✓ Answer

True

4. True / False (1 pts)

Whole numbers are commutative under subtraction.

✓ Answer

False

5. True / False (1 pts)

Addition of whole numbers is associative.

✓ Answer

True

6. True / False (1 pts)

Multiplication is distributive over addition for whole numbers.

✓ Answer

True

7. True / False (1 pts)

Zero is the multiplicative identity for whole numbers.

✓ Answer

False

8. True / False (1 pts)

Any whole number multiplied by zero results in zero.

✓ Answer

True

9. True / False (1 pts)

The series of natural numbers starts from zero.

✓ Answer

False

10. True / False (1 pts)

Negative numbers are also part of whole numbers.

✓ Answer

False

11. Multiple Choice (2 pts)

How many whole numbers are smaller than 8?

✓ Answer

A. 7

12. Multiple Choice (2 pts)

The additive identity of whole numbers is:

✓ Answer

B. 0

13. Multiple Choice (2 pts)

What is the successor of the smallest whole number?

✓ Answer

A. 1

14. Multiple Choice (2 pts)

Find the successor of 8,06,998.

✓ Answer

C. 8,06,999

15. Multiple Choice (2 pts)

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

✓ Answer

A. Commutative

16. Multiple Choice (2 pts)

Which is not a natural number?

✓ Answer

B. 0

17. Multiple Choice (2 pts)

Which of the following is true: 13 - 8 = 8 - 13?

✓ Answer

B. False

18. Multiple Choice (2 pts)

What property is used here: 64 × 12 + 64 × 14?

✓ Answer

A. Distributive

19. Multiple Choice (2 pts)

Identify the property: 102 × 6 = 6 × 102

✓ Answer

A. Commutative

20. Multiple Choice (2 pts)

Find the sum of predecessors of 84,636 and 90,025.

✓ Answer

B. 1,74,661

21. Fill in the Blank (2 pts)

The _____ identity of whole numbers is 1.

✓ Answer

multiplicative

22. Fill in the Blank (2 pts)

The _____ property states that a + b = b + a.

✓ Answer

commutative

23. Fill in the Blank (2 pts)

The property a × (b + c) = a × b + a × c is called the _____ property.

✓ Answer

distributive

24. Fill in the Blank (2 pts)

Zero is the _____ identity for addition of whole numbers.

✓ Answer

additive

25. Fill in the Blank (2 pts)

Whole numbers include all of the natural numbers and _____

✓ Answer

zero

26. Fill in the Blank (2 pts)

The successor of a number is found by adding _____ to it.

✓ Answer

one

27. Fill in the Blank (2 pts)

A _____ number has no successor in whole numbers.

✓ Answer

greatest

28. Fill in the Blank (2 pts)

Whole numbers are not _____ under subtraction.

✓ Answer

closed

29. Fill in the Blank (2 pts)

The _____ of zero is undefined.

✓ Answer

division

30. Fill in the Blank (2 pts)

The set of whole numbers is _____ and infinite.

✓ Answer

ordered

31. Word Problem (5 pts)

A train travels at 60 km/h for 2.5 hours. How far does it travel? Show your working.

✎ Worked Solution

Step 1: Distance = Speed × Time

Step 2: Distance = 60 × 2.5

Answer: 150 km

32. Word Problem (5 pts)

Calculate the sum: 703 + 768 + 297 + 322 by grouping them.

✎ Worked Solution

Step 1: (703 + 297) + (768 + 322)

Step 2: 1000 + 1090

Answer: 2090

33. Word Problem (5 pts)

What is the product of 102 and 6 using distributive property?

✎ Worked Solution

Step 1: 102 × 6 = (100 + 2) × 6

Step 2: (100 × 6) + (2 × 6)

Answer: 600 + 12 = 612

34. Word Problem (5 pts)

If 13 is added to a number and the result is 30, what is the number?

✎ Worked Solution

Step 1: Let the number be x.

Step 2: x + 13 = 30

Step 3: x = 30 - 13

Answer: x = 17

35. Word Problem (5 pts)

Eva buys 15 notebooks, each costing $3. Find the total amount spent.

✎ Worked Solution

Step 1: Total cost = Number of notebooks × Cost per notebook

Step 2: Total cost = 15 × 3

Answer: $45

36. Word Problem (5 pts)

Find the product of the greatest 3-digit number and the greatest 2-digit number.

✎ Worked Solution

Step 1: Greatest 3-digit number = 999

Step 2: Greatest 2-digit number = 99

Step 3: Product = 999 × 99

Answer: 98901

37. Word Problem (5 pts)

If Amal earns $30 per day, calculate his earnings for 7 days.

✎ Worked Solution

Step 1: Earnings per day = $30

Step 2: Total earnings = 7 × 30

Answer: $210

38. Word Problem (5 pts)

A rectangle has sides of length 8 and 6. Find the area.

✎ Worked Solution

Step 1: Area = Length × Width

Step 2: Area = 8 × 6

Answer: 48 square units

39. Word Problem (5 pts)

Find the total cost: 15 litres of milk at $30 per litre in a week.

✎ Worked Solution

Step 1: Daily cost = 15 × 30

Step 2: Weekly cost = Daily cost × 7

Answer: $3150

40. Word Problem (5 pts)

Raman spends $150 daily on travel. Calculate his total expense for 30 days.

✎ Worked Solution

Step 1: Daily expense = $150

Step 2: Monthly expense = Daily expense × 30

Answer: $4500