\(35.12+65.13\)
\(=420+845\)
\(=1265\)
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\(35\cdot12+65\cdot13\)
\(=35\cdot12+65\left(12+1\right)\)
\(=35\cdot12+65\cdot12+65\)
\(=\left(65+35\right)\cdot12+65\)
\(=100\cdot12+65\)
\(=1200+65\)
\(=1265\)
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