Complete the additions using tokens: i) (-3) + (-2) ii) (+5) + (-7)

Mathematics
Complete the additions using tokens: i) (-3) + (-2) ii) (+5) + (-7)

ScanSolve AI Answer

i)

Step 1: Start with (3)+(2)(-3) + (-2).

Represent 3-3 using 3 negative tokens:
- \quad - \quad -

Step 2: Add 2-2 using 2 negative tokens:
- \quad -

Step 3: Combine all tokens:
- \quad - \quad - \quad - \quad -

Step 4: Simplify: 5 negative tokens =5= -5.
5\boxed{-5}

ii)

Step 1: Start with (+5)+(7)(+5) + (-7).

Represent +5+5 using 5 positive tokens:
++++++ \quad + \quad + \quad + \quad +

Step 2: Add 7-7 using 7 negative tokens:
- \quad - \quad - \quad - \quad - \quad - \quad -

Step 3: Combine all tokens:
++++++ \quad + \quad + \quad + \quad + \quad - \quad - \quad - \quad - \quad - \quad - \quad -

Step 4: Pair each positive token with a negative token (5 zero pairs):
Remove 5(+)5(+) and 5()5(-), leaving:
- \quad -

Step 5: Simplify: 2 negative tokens =2= -2.
2\boxed{-2}

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