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Class 10
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Real numbers Worksheets

1.

Choose the correct option: " + " is _______.

1. Binary operation on R
2. Not a binary operation on R
3. A binary operation in Q^c
4. Not a binary operation in E

2.

Transitive property of order of real numbers is that for all a, b,c belong R.

1. a < b É? b < c this imly a < c
2. a < b É? b < c this imply a = c
3. a < b É? b < c this imply aâ?¥c
4. a < bÉ? b < c this imply a > c

3.

For all a,b belong R, this imply

1. a < b
2. a > b
3. a = b
4. 1â??a < 1â??b

4.

Additive property of order of real number is for all a, b, c, d belong to R.

1. a > b É? c > d this imply a + c = b + d
2. a > b É? c > d this imply a + c < b + d
3. a > b É? c > d this imply a + d > b + d
4. a > b É? c > d this imply c > b + d

5.

For all a,b belong R, this imply

1. a < b
2. a = b
3. 1/a < 1â??b
4. 1â??a > 1â??b

6.

Fill in the blanks: x^{-2} is equal to _________.

7.

Prove that 7/20 is terminating decimal.

8.

Prove that is an irrational number.

9.

Prove that is even f or every positive integer n.

10.

Check whether can end with the digit 0 for any natural number n.

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