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Published on: 21/09/2019
Integers
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Questions + Answers key
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1.
Following is the account of a shopkeeper which shows profit and loss from the sale of certain items. Using proper sign in the above account, fill up the blanks.
| Name of items | Profit | Loss | Representation with proper sign |
| Mustard oil Rice Black pepper Wheat Groundnut oil |
Rs.150 Rs.225 Rs.200 |
|
________ ________ ________ ________ ________ |
2.
Write all the integers between the given pair (write them in the increasing order).
- 8 and - 15
3.
Find the value of -2-|-2|+2+|3|.
4.
Write the following numbers (integers) in decreasing order with using inequality sign' >' .
-99,98,-97,97,4,1,90
5.
Write the following numbers (integers) in decreasing order with using inequality sign' >' .
8, 6, -136, 32, -80,120,1
6.
Write the following numbers (integers) in decreasing order with using inequality sign' >' .
9,8,4,-3,-2,1,10
7.
By using '+' or '-' sign indicate the following.
A gain of Rs 15000
8.
By using '+' or '-' sign indicate the following
15°Cbelow the freezing point
9.
Write the following numbers with appropriate signs.
(a) 100 m below sea level
(b) 25°C above 0°C temperature
(c) 15°C below 0°C temperature
(d) Any five numbers less than 0
10.
Write the preceding number of the following.
| Number | Successor |
|---|---|
| 10 | |
| 8 | |
| 5 | |
| 3 | |
| 0 |
1.
| Name of items | Profit | Loss | Representation with proper sign |
| Mustard oil Rice Black pepper Wheat Groundnut oil |
Rs.150 Rs.225 Rs.200 |
|
+Rs.150 -Rs.250 +Rs.225 +Rs.200 -Rs.330 |
2.
Increasing order of these interger is -14 < -13 < - 12 < - 11 < - 10 < - 9, because we are moving to the right from -15 to -8.
3.
1
4.
98 > 97 > 90 > 4 > 1 > - 97 > - 99
5.
120 > 32 > 8 > 6 > 1 > - 80> - 136
6.
10> 9 > 8 > 4> 1 > -2>-3
7.
+ Rs 15000
8.
-15°C
9.
(a) We can write 100 m below sea level as -100 m, because below sea level represents '-' sign and above sea level represents '+' sign.
(b) We can write 25°C above 0°C temperature as + 25°C, because temperature above 0°C is denoted by '+' sign and temperature below 0°C is denoted by '-' sign.
(c) We can write 15°C below 0°C temperature as -15°C, because temperature above 0°C is denoted by '+' sign and temperature below 0°C is denoted by '-' sign.
(d) Every negative integer is less than zero and every positive integer is greater than zero.
\(\therefore\) Numbers less than 0 are -1, - 2, - 3, - 4, - 5...
10.
We know that, one less than given number gives a predecessor. So, the preceding numbers of the given numbers are given as below:
| Number | Successor |
|---|---|
| 10 | 10 - 1 = 9 |
| 8 | 8 - 1 = 7 |
| 5 | 5 - 1 = 4 |
| 3 | 3 - 1 = 2 |
| 0 | 0 - 1 = -1 |
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