6. Simplify- (Show steps) a) $$ 1250-(-300)+(-120) $$ b) $$ 81-19+218-412 $$ c) $$ -4235+176-(-3285) $$

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UpStudy AI · Accepted Answer

Let's simplify each expression step by step.

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a) 1250 - (-300) + (-120)
1. Recognize that subtracting a negative number is the same as adding its positive:
  1250 - (-300) becomes 1250 + 300.
2. So the expression is now:
  1250 + 300 + (-120)
3. Add 1250 and 300:
  1250 + 300 = 1550.
4. Now add (-120):
  1550 + (-120) = 1550 - 120 = 1430.
  Final answer for (a): 1430

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b) 81 - 19 + 218 - 412
1. Start from left to right. First calculate 81 - 19:
  81 - 19 = 62.
2. Next add 218:
  62 + 218 = 280.
3. Finally, subtract 412:
  280 - 412 = -132.
  Final answer for (b): -132

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c) -4235 + 176 - (-3285)
1. Notice that subtracting a negative number becomes adding its positive number:
  - (-3285) = +3285.
2. Rewrite the expression:
  -4235 + 176 + 3285.
3. Combine -4235 and 3285 first:
  -4235 + 3285 = -950.
4. Now add 176:
  -950 + 176 = -774.
  Final answer for (c): -774

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Therefore, the simplified answers are:
a) 1430  
b) -132  
c) -774
a) 1430 b) -132 c) -774

6. Simplify- (Show steps) a) \( 1250-(-300)+(-120) \) b) \( 81-19+218-412 \) c) \( -4235+176-(-3285) \)

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