All questions of Integers for Class 6 Exam

Explanation:

Subtraction of Negative Numbers:
When subtracting a negative number from another negative number, we can think of it as adding the absolute value of the second number to the first number.

Calculation:
-4 - (-4) = -4 + 4
= 0
Therefore, 4 - (-4) equals 0.

Final Answer:
Option B) 0

Understanding Decreasing Order
To determine which sequence of numbers is in decreasing order, we need to understand what decreasing order means. A list is in decreasing order if each number is larger than the number that follows it.
Analyzing the Options
Let's examine each option one by one to identify which one is in decreasing order.
Option A: 8, -7, -2, -1
- 8 > -7
- -7 > -2
- -2 > -1
*This sequence is in decreasing order.*
Option B: -7, -2, -1, 8
- -7 < />
*This sequence is not in decreasing order.*
Option C: 8, -1, -2, -7
- 8 > -1
- -1 > -2
- -2 > -7
*This sequence is in decreasing order.*
Option D: 8, -7, -1, -2
- 8 > -7
- -7 < />
*This sequence is not in decreasing order.*
Conclusion
The correct answer is Option C: 8, -1, -2, -7 because all numbers are arranged such that each one is greater than the one that follows it. Thus, this option correctly represents a sequence in decreasing order.

In ascending order, we arrange the numbers from the smallest to the largest.
Thus, the correct order is -3, -2, -1, 0, 1.

The absolute value of an integer is its numerical value without regard to its sign.
Thus, the absolute value of -8 is 8.

Calculation of the expression 4 - (-17):

First, we need to understand that subtracting a negative number is the same as adding a positive number. In this case, the expression 4 - (-17) can be rewritten as 4 + 17.

Solution:
- 4 + 17 = 21

Therefore, the value of the expression 4 - (-17) is 21.

Final Answer:
a) +21

On the number line, 0 lies to the right of all negative integers, so it is greater than all negative integers.