Number System

Exercise 1.3 Part 1

Question 1: Write the following in decimal form and say what kind of decimal expansion each has:

class nine math number system ex 1.3_1

Answer: Decimal expression of the given question is equal to 0.36
This is terminating number.

class nine math number system ex 1.3_2

Answer:

class nine math number system ex 1.3_39

Thus, it is non-terminating repeating number


class nine math number system ex 1.3_3

Answer:

class nine math number system ex 1.3_4

class nine math number system ex 1.3_40

Hence, it is terminating number

class nine math number system ex 1.3_5

Answer:

class nine math number system ex 1.3_41

Hence, it is non-terminating repeating number


class nine math number system ex 1.3_6

Answer:

class nine math number system ex 1.3_42

Hence, it is non-terminating repeating number

class nine math number system ex 1.3_7

Asnwer:

class nine math number system ex 1.3_43

Hence, it is terminating number

Question 2: You know that class nine math number system ex 1.3_8. Can you predict what the decimal expansions of class nine math number system ex 1.3_9 are, without actually doing the long division? If so, how? [Hint : Study the remainders while finding the value of 1/ 7 carefully.]

Answer:

class nine math number system ex 1.3_10

Similarly,

class nine math number system ex 1.3_11

In similar way,

class nine math number system ex 1.3_12

In similar way,

class nine math number system ex 1.3_13

In similar way,

class nine math number system ex 1.3_14



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