Soru

Zorluk: KolaySimplification and BODMAS Rule
What is the result when the mathematical expression 45[12+(8÷2×3)]45 - [12 + (8 \div 2 \times 3)] is simplified strictly adhering to the standard BODMAS order of operations?

Cevap: 21

Cevap

21
Following the BODMAS rule, operations inside the innermost parentheses are solved first from left to right: 8÷2=48 \div 2 = 4, then 4×3=124 \times 3 = 12. Next, addition inside the square brackets gives 12+12=2412 + 12 = 24. Finally, subtracting 24 from 45 yields 21.

Adım Adım Çözüm

1
Evaluate division inside the parentheses
8 ÷ 2 = 4
Division and multiplication have equal priority and are evaluated from left to right inside parentheses.
2
Evaluate multiplication inside the parentheses
4 × 3 = 12
Completing the operations within the parentheses.
3
Add the values inside the square brackets
12 + 12 = 24
Evaluating the bracketed addition.
4
Subtract from the outer term
45 - 24 = 21
Performing final subtraction outside the brackets.

Anahtar Kavram

BODMAS Rule (Order of Operations)
Tahmini Süre:45s
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