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\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Practice Time 10B

1. Complete the following table:

+ –6 –4 –2 0 2 4 6

6 12

4

2

0 –6

–2

–4 –4

–6

From the above table:

(a) Write all the pairs of integers whose sum is zero.
(b) Is (–4) + (–2) = (–6)
2. Simplify the following:
(a) |5| + |–5| + 4 (b) 7 + |5| – 7 (c) 27 – |–10| + 6

3. Find the absolute value of:
(a) |–12 + (–15)| (b) |25 – (−45 + 15)| (c) |(–3) + (–4) + (–5)|
4. Find the sum of the following:

(a) –71, –302, 36 (b) 147, –254, –136 (c) –379, –546
5. Simplify the following:
(a) (30) + (–23) + (–63) + (+55) (b) (27) + (–6) + (–56) + (–4) (c) (–12) + 19 + (–16) + (–35)
6. Add the following integers by using the number line.

(a) 4 + (–6) (b) 8 + (–8) (c) (–7) + 2
7. If we are at 8 on the number line, in which direction should we move to reach the following integers:
(a) –5 (b) 11 (c) 0

8. Find the additive inverse of the following:
(a) 17 (b) (–357) (c) 0
9. State whether the following statements are True (T) or False (F).
(a) The sum of two negative integers is always negative.

(b) The sum of a negative integer and a positive integer is always negative.
(c) The sum of an integer and its negative is zero.
(d) The sum of three different integers can never be zero.

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