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Assertion: Every integer is a rational number.
Reason: An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.
(a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
(b) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
(c) assertion is true but the reason is false.
(d) both assertion and reason are false.
Using number line, find:
3 × (-5)
You have ₹500 in your saving account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?
| Cheque No. | Date | Transactions description | Payment | Deposit |
|---|---|---|---|---|
| 384102 | 4/9 | Jal Board | ₹ 120 | ₹ 200 |
| 275146 | 12/9 | Deposit | — | ₹ 150 |
| 384103 | 22/9 | LIC India | ₹ 240 | ₹ 150 |
| 801351 | 29/9 | Deposit | — | ₹ 150 |
Using number line, find:
8 × (-2)
Assertion: The integers on the number line forms an infinite sequence.
Reason: A list of numbers following a definite rule which goes on forever is called an infinite sequence.
(a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
(b) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
(c) assertion is true but the reason is false.
(d) both assertion and reason are false.
The given table shows the freezing points in °F of different gases at sea level. Convert each of these into °C to the nearest integral value using the relation:
C = 5/9 (F − 32)
| Gas | Freezing point at sea level (°F) | Freezing point at sea level (°C) |
|---|---|---|
| Hydrogen | -435 | |
| Krypton | -251 | |
| Oxygen | -369 |
Solve the following:
[32 + 2 × 17 + (-6)] ÷ 15
The sum of two integers is 116. If one of them is -79, find the other integers.
Solve the following: (-8) × (-5) + (-6)
Solve the following:
(-5) × [(-6) + 5]
Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date on 3 days after tomorrow?
Starting from (-7) × 4, find (-7) × (-3)
Solve the following:
(-10) × [(-13) + (-10)]
If a = -35, b = 10 cm and c = -5, verify that:
(i) a + (b + c) = (a + b) + c
(ii) a × (b + c) = a × b + a × c
Solve the following:
[(-6) × (-3)] + (-4)
Solve the following:
(-15) × 8 + (-15) × 4
Write five pair of integers (m, n ) such that m ÷ n = -3. One of such pair is (-6, 2).
Write down a pair of integers whose
(i) sum is -5
(ii) difference is -7
(iii) difference is -1
(iv) sum is 0