Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

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Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

Unit 3 Worksheet 2 || Rational Numbers as Decimals

1. Express the following rational numbers as decimals by using long division method.

Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

Answers:

Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics
Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics
Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics
Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

2. Without actual division, determine which of the following rational numbers have a terminating decimal representation and which have a non-terminating decimal representation.

Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

Answers:

Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics
Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics
Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

3. Find the decimal representation of the following rational numbers.

Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

Answers:

Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics
Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

4. If the number 1/2+2/3+3/4+4/5 is expressed as a decimal, will It be terminating or non-terminating? terminating? Justify your answer.

Answer 4:

Chapter 3 | Rational Numbers as Decimals | Class-7 DAV Secondary Mathematics

5. Justify the following statements as True or False.

(i) 22/7 can be represented as a terminating decimal.

Answer (i): False (22/7 is non terminating)
(ii) 51/512 can be represented as a terminating decimal.

Answer (ii): True
(iii)19/45 can be represented as a non-terminating repeating decimal.

Answer (iii): True

(iv) 3/17 cannot be represented as a non-terminating repeating decimal.

Answer (iv): False (3/17 is non terminating)

(v) If 3/2 and 7/5 are terminating decimals, then 3/2 + 7/5 is also a terminating decimal.

Answer (v): True
(vi) If 1/4 and 1/5 both have terminating decimal representation, then 1/4*1/5 also has a terminating decimal representation.

Answer (vi): True