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3 Whole Numbers Elicit Warm-up We have learned about counting numbers 1, 2, 3, 4... and also their arithmetic operations. We can count the number of students in a class, the number of members in a family and so on. 1. Find the number of students in your class. 2. Count the number of teachers teaching in all the sections of Grade 6 in your school.. 3. What will the result be if all the answers given in a test are wrong? Will it be 1? 4. If you had two chocolates and you gave both to your siblings, how many chocolates will be left with you? 5. Why don't we use zero for counting numbers? Think about it. Learning Objectives In this chapter, you will learn about: • Introduction to whole numbers • Properties of whole numbers • Patterns in whole numbers Did you know that counting numbers only have meaning when refer to speciﬁc objects? We cannot give someone 6 by itself but we can give them 6 oranges, 6 pens or F 6, etc. 34

Chapter Review MUITIPLE CHOICE QUESTIONS 1. How many whole numbers are smaller than 8? a. 7 8 FLUENCY 1-4 5-7 8-10 C. d .   0 2. The additive identity of whole number 1 is: a. 1 b. O C. 2 d. 3 3. is the only number that are simultaneously powers of both 2 and 3. a. 1 b. 0 4. The successor of the smallest whole number is: a. 1 b. 5 C. 2 d. 3 C. 0 d. 2 5. Find the successor of 8,06,998. a. 8,07,000 c. 8,06,999 b. 8,06,998 d. 8,06,997 6. Which of the following property is correct for the given arrangement of numbers? 291x (125 x 8) a. Associative property b. Closure property c. Commutative property d. Distributive property 7. Find the sum of the predecessors of 84,636 and 90,025. a. 1,74,662 c. 1,74,669 b. 1,74,661 d. 1,74,659 8. Find the pair of numbers which can be shown as square numbers. a. 2 × 2, 1 × 2 b. 2 × 2,3 × 3 c. 1x3,4 × 4 9. Which of the following is not a natural number? a. 8 × 6 ÷ 2 b. 3 x 4 - 4 x 3 c. 20 + 24 - 2 d. 2x3,4 × 2 d. 18 + 5 - 5 10. 64 × 12 + 64 × 14 a. 12 x (64 + 14) b. 64x (12 + 14) c. 14 x (64 + 12) d. 12 × (64 + 64) SUBJECTIVE QUESTIONS 1. Write the successor and predecessor of 2997. PROBLEM-SOLVING 1-3 4-6 7-10 2. Which property has been used in the following statements? a. 2+4=4 + 2 b. 5 × 1 = 5 c. 22 + (33 + 14) = 69 3. Find the sum by grouping: 703 + 768 + 297 + 322. 4. Solve the following using the distributive property. a. 102 × 6 b. 98 × 5 c. 32 × 11 d. 36 × 9 e. 105 × 3 5. State true or false. a. 13-8 = 8 - 13 b. 13 × 0 = 1 c. 13 + 8 = 8 + 13 d .   0 - 4 = 7 6. Verify the property×c=ax bxc) = (b x a) x c, taking a = 1, b = 3, c = 2. 7. Take any two whole numbers and prove that their difference is not a whole number. 42

8. Take any two whole numbers and prove that whole numbers are not commutative under division. 9. Find the product of the greatest 3-digit number and the greatest 2-digit number using the most suitable property. 10. (15 - 3) × 20 = ... 15 × 20 - 3 × 20 = Which property has been used here? Give one more example. REASONING 11 12 13-15 11. Amal supplies 15 litres of milk daily, at the rate of & 30 per litre. How much does he earn in a week? 12. Raman incurs a daily travel expense of & 150 going to and from his ofﬁce. How much does he need to spend on his travel in the month of June? 13. Sonu goes to music class four days a week and Manu goes to music class three days a week. Calculate the total number of days they have to attend the class in a year. 14. The teacher asked Raj to think of a whole number which is not a natural number. Raj answered that whole numbers and natural numbers are the same. Would the teacher agree with his answer? Explain. 15. A question was asked in a quiz: Name any negative whole number. Roy, who was participating in the quiz, said that the question was wrong. Why do you think he may have said that? ANALYSIS & CREATING 16 17 18-19 16. Create a table and write examples for all the properties of whole numbers. 17. Create 2 different patterns for the number 36. a. Square number b. Triangle number c. Hexagonal number 18. Raj bought 119 pieces of a fabric for 3,567 each. But later, he returned 19 of them. a. How much amount did he spend on the fabric? b. How much did he pay for 119 pieces of fabric? c. How much did he get in return for 19 pieces of fabric? d. Find any relation between the answers to parts a., b. and c. e. Which property does it represent? 19. Arun spends F 55 on lunch and F40 on dinner everyday. a. Find the amount he spends on both, lunch and dinner, in a week. b. In a week, how much does he spend only on lunch? c. In a week, how much does he spend only on dinner? d. Will the sum of the answers to parts b. and c. be equal to the answer to part a? e. Which property is used here? 43

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