Math Problem Statement

a) -3 + (- 8). b) -9 +12. c) -17 + (- 40) + (- 18). d) 20 + 30 + ( -10).

Solution

Let's solve these expressions step by step:

a) 3+(8)-3 + (-8): 3+(8)=38=11-3 + (-8) = -3 - 8 = -11

b) 9+12-9 + 12: 9+12=129=3-9 + 12 = 12 - 9 = 3

c) 17+(40)+(18)-17 + (-40) + (-18): 17+(40)=1740=57-17 + (-40) = -17 - 40 = -57 57+(18)=5718=75-57 + (-18) = -57 - 18 = -75

d) 20+30+(10)20 + 30 + (-10): 20+30=5020 + 30 = 50 50+(10)=5010=4050 + (-10) = 50 - 10 = 40

Final Answers:

a) 11-11
b) 33
c) 75-75
d) 4040

Would you like more details on any part of the solution?

Here are some related questions to explore further:

  1. What is the result of 15+(5)-15 + (-5)?
  2. How does the addition of negative numbers affect the final sum?
  3. What is the sum of 20+30+(15)-20 + 30 + (-15)?
  4. How would you solve 25+25+(50)-25 + 25 + (-50)?
  5. What is the significance of zero in addition when combining positive and negative numbers?

Tip: When adding a negative number, it's the same as subtracting the corresponding positive value.

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Math Problem Analysis

Mathematical Concepts

Addition of Negative Numbers
Integer Arithmetic

Formulas

a + (-b) = a - b
Addition of negative and positive integers

Theorems

Commutative Property of Addition
Associative Property of Addition

Suitable Grade Level

Grades 6-8