Master the Order of Operations

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Questions and Answers

When should you do exponents or powers in a calculation?

  • After addition and subtraction
  • Before multiplication and division (correct)
  • Before addition and subtraction
  • After multiplication and division

What is the correct order of operations according to BODMAS?

  • Brackets, exponents, division, multiplication, addition, subtraction
  • Brackets, exponents, multiplication, division, addition, subtraction (correct)
  • Addition, subtraction, multiplication, division, brackets, exponents
  • Exponents, brackets, multiplication, division, addition, subtraction

What is the difference between 4(32) and (43)2?

  • There is no difference
  • 4(32) is equal to 128 and (43)2 is equal to 12
  • 4(32) is equal to 128 and (43)2 is equal to 1849
  • 4(32) is equal to 36 and (43)2 is equal to 1849 (correct)

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Study Notes

Exponents and Order of Operations

  • Exponents or powers should be calculated before multiplication and division in a calculation.
  • The correct order of operations according to BODMAS is:
    • Brackets (or parentheses)
    • Orders (or exponents)
    • Division
    • Multiplication
    • Addition
    • Subtraction
  • The difference between 4(32) and (43)2 is the order in which the operations are performed:
    • 4(32) = 4 × 32 (evaluate the expression inside the brackets first)
    • (43)2 = 43 × 43 (evaluate the exponentiation first, then the result is multiplied by itself)

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