BODMAS & Simplification: Order of Operations: 20 flashcards
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1. What does BODMAS stand for?
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Brackets, Orders, Division/Multiplication, Addition/Subtraction
2. In BODMAS, which operations are done first: brackets or multiplication?
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Brackets are done before multiplication.
3. What is the formula to count consecutive integers from a to b inclusive?
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$b - a + 1$
4. How many two-digit natural numbers are there?
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90
5. What does the overline (vinculum) in an expression mean?
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It is a grouping symbol, like parentheses; do the operation under the bar first.
6. Simplify: $10 \times 10 + [400 \div (100 - (\overline{50 - 3 \times 10}))]$
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105
7. In the expression $100 - (\overline{50 - 3 \times 10})$, what is the value inside the bar?
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20
8. What is the first step in simplifying $\frac{1}{13}[7 + 2 \times 5 \times 11 + 2]$?
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Simplify inside the brackets: $2 \times 5 \times 11 = 110$.
9. In BODMAS, if you have both division and multiplication, which do you do first?
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They are done left to right, whichever comes first.
10. What is a common mistake when counting two-digit numbers?
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Subtracting only (99 - 10 = 89) instead of adding 1.
11. Why is the overline sometimes mistaken for a minus sign?
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It looks like a line above numbers, but it is a grouping symbol, not a negative sign.
12. In $10 \times 10 + [400 \div (100 - (\overline{50 - 3 \times 10}))]$, what is the value of $400 \div 80$?
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5
13. What is the final step in simplifying $10 \times 10 + 5$?
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Add: $100 + 5 = 105$.
14. How many days are in a week, and how does that relate to calendar patterns?
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7 days; the pattern of days repeats every 7 days.
15. If a month starts on Monday, what day is the 8th?
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Monday
16. What is the correct simplification of $\frac{1}{13}[7 + 2 \times 5 \times 11 + 2]$?
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$\frac{119}{13}$ (which is not an integer)
17. In BODMAS, what comes after brackets?
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Orders (powers and roots)
18. What is the value of $3 \times 10$ in the expression $\overline{50 - 3 \times 10}$?
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30
19. Why is it important to follow BODMAS in real-life calculations like spreadsheets?
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Because spreadsheet formulas follow the same order; misplacing brackets gives wrong results.
20. What is the count of integers from 5 to 12 inclusive?
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8
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