Let's solve each part of
Question 1 step by step, using the rules of
integers (positive and negative numbers).
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Rules to Remember:
- Adding a negative number is like subtracting:
$ a + (-b) = a - b $
- Subtracting a negative number is like adding:
$ a - (-b) = a + b $
- Subtracting a positive number is straightforward subtraction.
- When adding two numbers with different signs, subtract their absolute values and keep the sign of the larger absolute value.
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Now, let's go through each problem:
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(i) $-5 + (-6)$
= $-5 - 6$
= $-11$
✔ So: $-5 \boxed{-} 6 = \boxed{-11}$
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(ii) $7 - (+5)$
= $7 - 5$
= $2$
✔ So: $7 \boxed{-} 5 = \boxed{2}$
---
(iii) $4 - (-4)$
= $4 + 4$
= $8$
✔ So: $4 \boxed{+} 4 = \boxed{8}$
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(iv) $-4 - (-8)$
= $-4 + 8$
= $4$
✔ So: $-4 \boxed{+} 8 = \boxed{4}$
---
(v) $-3 - (+5)$
= $-3 - 5$
= $-8$
✔ So: $-3 \boxed{-} 5 = \boxed{-8}$
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(vi) $-5 + (+4)$
= $-5 + 4$
= $-1$
✔ So: $-5 \boxed{+} 4 = \boxed{-1}$
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(vii) $5 + (+10)$
= $5 + 10$
= $15$
✔ So: $5 \boxed{+} 10 = \boxed{15}$
---
(viii) $8 + (-4)$
= $8 - 4$
= $4$
✔ So: $8 \boxed{-} 4 = \boxed{4}$
---
(ix) $-6 + (+5)$
= $-6 + 5$
= $-1$
✔ So: $-6 \boxed{+} 5 = \boxed{-1}$
---
(x) $6 + (-10)$
= $6 - 10$
= $-4$
✔ So: $6 \boxed{-} 10 = \boxed{-4}$
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✔ Final Answers:
| Question | Operation | Result |
|--------|----------|--------|
| (i) | $-5 - 6$ | $-11$ |
| (ii) | $7 - 5$ | $2$ |
| (iii) | $4 + 4$ | $8$ |
| (iv) | $-4 + 8$ | $4$ |
| (v) | $-3 - 5$ | $-8$ |
| (vi) | $-5 + 4$ | $-1$ |
| (vii) | $5 + 10$ | $15$ |
| (viii) | $8 - 4$ | $4$ |
| (ix) | $-6 + 5$ | $-1$ |
| (x) | $6 - 10$ | $-4$ |
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✔ Completed Worksheet:
(i) $-5 + (-6) = -5 \boxed{-} 6 = \boxed{-11}$
(ii) $7 - (+5) = 7 \boxed{-} 5 = \boxed{2}$
(iii) $4 - (-4) = 4 \boxed{+} 4 = \boxed{8}$
(iv) $-4 - (-8) = -4 \boxed{+} 8 = \boxed{4}$
(v) $-3 - (+5) = -3 \boxed{-} 5 = \boxed{-8}$
(vi) $-5 + (+4) = -5 \boxed{+} 4 = \boxed{-1}$
(vii) $5 + (+10) = 5 \boxed{+} 10 = \boxed{15}$
(viii) $8 + (-4) = 8 \boxed{-} 4 = \boxed{4}$
(ix) $-6 + (+5) = -6 \boxed{+} 5 = \boxed{-1}$
(x) $6 + (-10) = 6 \boxed{-} 10 = \boxed{-4}$
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Let me know if you'd like this explained in a video or with number lines!
Parent Tip: Review the logic above to help your child master the concept of 6th grade integers worksheet.