1. Problem: Find the answers to the given arithmetic expressions involving integers.
2. Formula and rules:
- Addition and subtraction of integers: combine numbers considering their signs.
- Multiplication and division of integers: multiply/divide absolute values and apply sign rules (same signs give positive, different signs give negative).
3. Step-by-step solutions:
(40) $40 - 9 + (-1)$
= $40 - 9 - 1$
= $31 - 1$
= $30$
(41) $8 + (-2)$
= $8 - 2$
= $6$
(42) $10 - (+3)$
= $10 - 3$
= $7$
(43) $15 - (-2)$
= $15 + 2$
= $17$
(44) $-6 - (-5)$
= $-6 + 5$
= $-1$
(45) $-10 + 4$
= $-6$
(46) $-20 - (+12)$
= $-20 - 12$
= $-32$
(47) $8 - (-12) + 9$
= $8 + 12 + 9$
= $20 + 9$
= $29$
(48) $-10 + (-2) - (-1)$
= $-10 - 2 + 1$
= $-12 + 1$
= $-11$
(49) $(-9)(-3)$
= $27$
(50) $(-2)(4)$
= $-8$
(51) $-80 / -4$
= $\cancel{-80} / \cancel{-4} = 20$
(52) $44 - 11$
= $33$
(53) $(-1)(-8)$
= $8$
(54) $65 \div (-5)$
= $-13$
(55) $11/9$
= $\frac{11}{9}$ (already simplified)
Final answers:
(40) 30
(41) 6
(42) 7
(43) 17
(44) -1
(45) -6
(46) -32
(47) 29
(48) -11
(49) 27
(50) -8
(51) 20
(52) 33
(53) 8
(54) -13
(55) \frac{11}{9}
Integer Operations F977De
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.