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Find the value of 2.5├Ч4+3.68├╖4тИТ8.46├Ч2+7.365├Ч4+2.8├Ч3тИТ1.675├Ч2.
27.98
28.96
28.51
27.21
28.51
Calculate each multiplication and division block separately: (10 + 0.92 - 16.92 + 29.46 + 8.4 - 3.35). Add positive terms (10 + 0.92 + 29.46 + 8.4 = 48.78) and subtract negative terms (16.92 + 3.35 = 20.27).
Expression: 2.5 ├Ч 4 + 3.68 ├╖ 4 - 8.46 ├Ч 2 + 7.365 ├Ч 4 + 2.8 ├Ч 3 - 1.675 ├Ч 2
2.5├Ч4+43.68тАЛтИТ8.46├Ч2+7.365├Ч4+2.8├Ч3тИТ1.675├Ч2
Calculate each multiplication and division block separately: (10 + 0.92 - 16.92 + 29.46 + 8.4 - 3.35). Add positive terms (10 + 0.92 + 29.46 + 8.4 = 48.78) and subtract negative terms (16.92 + 3.35 = 20.27).
Students often lose track of order of operations (BODMAS), specifically miscalculating the decimal placement in products like 7.365 ├Ч 4 or forgetting to pair the subtraction with the correct term.
Evaluate individual segments
Perform multiplications and divisions first: 2.5├Ч4=10, 3.68├╖4=0.92, 8.46├Ч2=16.92, 7.365├Ч4=29.46, 2.8├Ч3=8.4, and 1.675├Ч2=3.35.
10+0.92тИТ16.92+29.46+8.4тИТ3.35
Sum of positive terms
Combine all positive results: 10+0.92+29.46+8.4=48.78.
48.78
Sum of negative terms
Combine all negative results: 16.92+3.35=20.27.
20.27
Final calculation
Subtract the sum of negative terms from the sum of positive terms: 48.78тИТ20.27=28.51.
28.51
C is correct because the result of the arithmetic expression is 28.51.
Always approach long expression problems by grouping terms into 'addition' and 'subtraction' buckets after initial multiplication/division steps to prevent sign errors.