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CBSE Class 6  >  Class 6 Notes  >   All Subjects (Old NCERT)  >  RS Aggarwal Solutions: Number System (Exercise 1E)

RS Aggarwal Solutions: Number System (Exercise 1E)

Q.1. Estimate each of the following products by rounding off each number to the nearest ten.
Q.1. 38 × 63.
Ans. (38 × 63)

38 estimated to the nearest ten = 40

63 estimated to the nearest ten = 60
∴ 40 × 60 = 2400

Q.2. 54 × 47.
Ans. (54 × 47)
54 estimated to the nearest ten = 50
47 estimated to the nearest ten = 50
∴ 50 × 50 = 2500

Q.3. 28 × 63.
Ans. (28 × 63)
28 estimated to the nearest ten = 30
63 estimated to the nearest ten = 60
∴ 30 × 60 = 1800

Q.4. 42 × 75.
Ans. (42 × 75)
42 estimated to the nearest ten = 40
75 estimated to the nearest ten = 80
∴ 40 × 80 = 3200

Q.5. 64 × 58.
Ans. (64 × 58)
64 estimated to the nearest ten = 60
58 estimated to the nearest ten = 60
∴ 60 × 60 = 3600

Q.6. 15 × 34.
Ans. (15 × 34)
15 estimated to the nearest ten = 20
34 estimated to the nearest ten = 30
∴ 20 × 30 = 600

Estimate each of the following products by rounding off each number to the nearest hundred :
Q.7. 376 × 123.
Ans. (376 × 123)
376 estimated to the nearest hundred = 400
123 estimated to the nearest hundred = 100
∴ 400 × 100 = 40000

Q.8. 264 × 147.
Ans. (264 × 147)
264 estimated to the nearest hundred = 300
147 estimated to the nearest hundred = 100
∴ 300 × 100 = 30000

Q. 9. 423 × 158.
Ans. (423 × 158)
423 estimated to the nearest hundred = 400
158 estimated to the nearest hundred = 200
∴ 400 × 200 = 80000

Q.10. 509 × 179.
Ans. (509 × 179)
509 estimated to the nearest hundred = 500
179 estimated to the nearest hundred = 200
∴ 500 × 200 = 100000

Q.11. 392 × 138.
Ans. (392 × 138)
392 estimated to the nearest hundred = 400
138 estimated to the nearest hundred = 100
∴ 400 × 100 = 40000

Q.12. 271 × 339.
Ans. (271 × 339)
271 estimated to the nearest hundred = 300
339 estimated to the nearest hundred = 300
∴ 300 × 300 = 90000

Estimate each of the following products by rounding off the first number upwards and the second number downwards :
Q.13. 183 × 154.
Ans. (183 × 154)
183 is rounded off upwards = 200
154 is rounded off downwards = 100
∴ 200 × 100 = 20000

Q.14. 267 × 146.
Ans. (267 × 146)
267 is rounded off upwards = 300
146 is rounded off downwards = 100
∴ 300 × 100 = 30000

Q.15. 359 × 76.
Ans. (359 × 76)
359 is rounded off upwards = 400
76 is rounded off downwards = 70
∴ 400 × 70 = 28000

Q.16. 472 × 158.
Ans. (472 × 158)
472 is rounded off upwards = 500
158 is rounded off downwards = 100
∴ 500 × 100 = 50000

Q.17. 680 × 164.
Ans. (680 × 164)
680 is rounded off upwards = 700
164 is rounded off downwards = 100
∴ 700 × 100 = 70000

Q.18. 255 × 350.
Ans. (255 × 350)

255 is rounded off upwards = 300
350 is rounded off downwards = 300
∴ 300 × 300 = 90000

Estimate each of the following products by rounding off the first number downwards and the second number upwards :
Q.19. 356 × 278.
Ans. (356 × 278)
356 is rounded off downwards = 300
278 is rounded off upwards = 300
∴ 300 × 300 = 90000

Q.20. 472 × 76.
Ans. (472 × 76)
472 is rounded off downwards = 400
76 is rounded off upwards = 80
∴ 400 × 80 = 32000

Q.21. 578 × 369.
Ans. (578 × 369)
578 is rounded off downwards = 500
369 is rounded off upwards = 400
∴ 500 × 400 = 200000

The document RS Aggarwal Solutions: Number System (Exercise 1E) is a part of the Class 6 Course Class 6 All Subjects (Old NCERT).
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FAQs on RS Aggarwal Solutions: Number System (Exercise 1E)

1. How do I identify whole numbers and natural numbers in number system exercises?
Ans. Natural numbers start from 1 and go upward (1, 2, 3...), while whole numbers include 0 along with all natural numbers. In CBSE Class 6 number system problems, whole numbers form a larger set. Students can refer to flashcards and mind maps on EduRev to visualise this relationship clearly and avoid mixing these fundamental categories during practice.
2. What's the difference between integers and whole numbers when solving RS Aggarwal Exercise 1E?
Ans. Integers include negative numbers, zero, and positive numbers (...-2, -1, 0, 1, 2...), whereas whole numbers only include zero and positive numbers. This distinction is crucial in number system classification. Understanding this difference prevents common mistakes when ordering numbers or identifying number types on worksheets and exam questions.
3. Why do we need to understand place value and face value separately in number system?
Ans. Face value is the digit's actual worth (always the same), while place value depends on its position in a number. For example, in 352, the face value of 5 is 5, but its place value is 50. Grasping this concept is essential for understanding expanded form and comparing numbers effectively in Class 6 mathematics.
4. How do I arrange numbers in ascending and descending order correctly during number system practice?
Ans. Compare numbers digit-by-digit from left to right, starting with the highest place value. For ascending order, place smaller numbers first; for descending, place larger numbers first. Using number line visualisations and flashcards helps reinforce ordering skills. This technique applies to both whole numbers and integers in Exercise 1E.
5. What are even and odd numbers, and how do I classify them quickly in CBSE exercises?
Ans. Even numbers are divisible by 2 with no remainder (2, 4, 6, 8...), while odd numbers leave a remainder of 1 when divided by 2 (1, 3, 5, 7...). The quickest method is checking the last digit-if it's 0, 2, 4, 6, or 8, the number is even. This classification skill is fundamental for number system problem-solving and pattern recognition in Class 6 mathematics.
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