Page 121 - Start Up Mathematics_6
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EXERCISE 6.1
1. Write the opposites of the following:
(a) Earning of ` 5,000 (b) 250 km east of Delhi (c) Late by 25 minutes
(d) 200 m above sea level (e) Decrease of 10 (f) 20°C below freezing point
2. Represent the following as integers with appropriate signs:
(a) A deposit of ` 26,500
(b) A profit of ` 3,000
(c) Withdrawal of ` 5,000
(d) A kite flying at the height of 100 m
(e) A whale moving at the depth of 3,000 m below the sea level
(f) 10 m down in the basement of a shopping mall
3. Represent the following numbers on a number line:
(a) +4 (b) +6 (c) 0 (d) –7
4. In each of the following pairs, which integer is to the left of the other on the number line?
(a) –13, –26 (b) –9, 18 (c) –29, –13 (d) –100, –67
5. Write three negative integers just greater than –9.
6. Write three negative integers just less than –12.
7. Write all the integers between the given pairs of integers in decreasing order:
(a) –3 and –10 (b) –6 and –13 (c) –8 and 0 (d) –89 and –98
8. Fill in the blanks with appropriate symbol ‘>’ or ‘<’.
(a) –9 ____ –19 (b) –7 ____ –12 (c) 0 ____ –10 (d) –2 ____ 1
9. Write the following integers in increasing order:
(a) 0, –9, –5, –11 (b) 121, –98, –76, –123 (c) –287, –827, –728, –278
10. Write the following integers in decreasing order:
(a) –99, –990, –777, –567 (b) +876, –706, –901, 0 (c) –167, –237, –953, 1
11. Evaluate: (a) |–13| (b) |+27| (c) |13 – 15| (d) |–11 – 7|
12. Answer the following:
(a) Which number is reached if we move 4 steps to the left of 0?
(b) Which number is reached if we move 7 steps to the right of –11?
(c) In which direction should one move to reach –67 from –80?
(d) In which direction should one move to reach 0 from –23?
13. For the following statements, write True or False. Write the false statement correctly.
(a) –270 is greater than –170.
(b) 0 is a positive integer.
(c) –5 is to the right of –1 on the number line.
(d) All negative integers are smaller than a natural number.
(e) The absolute value of an integer is always smaller than the integer.
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