Math Problem Statement
Solution
Let's solve the mathematical expressions in the uploaded image one by one.
C) (8.94 + 9.39) : (7.57 − 1.4 · 2.05)
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Solve the numerator:
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Solve the denominator:
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Final division:
У) 46.08 : (1.5 − 1.116) · 0.4 + 44.8
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Solve the parenthesis:
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Division:
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Multiply:
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Add:
X) 3.5 : 7 + 2.8 : 0.4 − 0.74 : 5
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First term:
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Second term:
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Third term:
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Combine:
Ч) (0.57 : 1.9 · 4.4 − 0.68 : 1.7) : 0.4
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Solve the first division:
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Multiply:
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Solve the second division:
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Subtract:
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Final division:
Щ) 3.36 : 3.2 + (4 − (7 − 6.3) · 4.2) − 1.1
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First division:
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Solve the parenthesis:
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Subtract from 4:
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Add and subtract:
Final Results:
- C)
- У)
- X)
- Ч)
- Щ)
Do you want detailed explanations for any specific step? Here are 5 related questions for practice:
- How would you simplify expressions with multiple parentheses like in example Щ?
- What is the order of operations (PEMDAS/BODMAS) and how does it apply here?
- Can you find other ways to organize calculations to reduce rounding errors?
- How would the answers change if some of the inputs had additional decimals?
- What tools can be used to verify these calculations?
Tip: Always double-check division operations involving decimals, as rounding can introduce small errors!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Operations
Order of Operations (PEMDAS/BODMAS)
Decimals
Formulas
Basic arithmetic operations
Parentheses and multiplication/division rules
Theorems
Order of Operations
Suitable Grade Level
Grades 6-8
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