NCERT Solutions Class 6 Maths Chapter 12 — Integers

Solution:

Step 1: Whole numbers include 0, 1, 2, 3, ...

Step 2: Integers include ..., -3, -2, -1, 0, 1, 2, 3, ...

Step 3: Since all whole numbers are present in the set of integers, the statement 'All whole numbers are integers' is true.

Solution:

Step 1: Point P is at -3.

Step 2: Moving 5 units to the right means adding 5 to the current position.

Step 3: So, R = -3 + 5.

Step 4: -3 + 5 = 2.

Solution:

Step 1: Compare -5 and 2: -5 is to the left of 2, so -5 < 2. (Option A is incorrect)

Step 2: Compare 0 and -3: 0 is to the right of -3, so 0 > -3. (Option B is incorrect)

Step 3: Compare -7 and -4: -7 is to the left of -4, so -7 < -4. (Option C is correct)

Step 4: Compare 1 and 6: 1 is to the left of 6, so 1 < 6. (Option D is incorrect)

Solution:

Step 1: Sea level is taken as the reference point, represented by 0.

Step 2: "Below sea level" implies a position in the negative direction.

Step 3: A depth of 50 meters below sea level is represented as -50.

Solution:

Step 1: Adding a positive integer means moving to the right on the number line.

Step 2: Adding a negative integer (e.g., + (-X)) is equivalent to subtracting its positive counterpart (e.g., - X).

Step 3: Therefore, when adding a negative integer, you always move to the left on the number line.