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

Part (i)

Step 1: Model 3-3 using 33 negative tokens and 2-2 using 22 negative tokens.

3=,2=-3 = \bullet\bullet\bullet, \quad -2 = \bullet\bullet

Step 2: Add the tokens by combining them.

+=\bullet\bullet\bullet + \bullet\bullet = \bullet\bullet\bullet\bullet\bullet

Step 3: 55 negative tokens represent 5-5.

(3)+(2)=5(-3) + (-2) = -5

-5

Part (ii)

Step 1: Model 5-5 using 55 negative tokens and 7-7 using 77 negative tokens.

5=,7=-5 = \bullet\bullet\bullet\bullet\bullet, \quad -7 = \bullet\bullet\bullet\bullet\bullet\bullet\bullet

Step 2: Add the tokens by combining them.

+=\bullet\bullet\bullet\bullet\bullet + \bullet\bullet\bullet\bullet\bullet\bullet\bullet = \bullet\bullet\bullet\bullet\bullet\bullet\bullet\bullet\bullet\bullet\bullet\bullet

Step 3: 1212 negative tokens represent 12-12.

(5)+(7)=12(-5) + (-7) = -12

-12

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