Mathematical Expressions and Calculations

Mathematical Expressions and Calculations

Expression Evaluations

• The multiplication expression:

  • $39 imes 25 imes 49$
  • To evaluate this, follow the order of operations:
  • First, multiply 39 by 25:
    • $39 imes 25 = 975$
  • Next, multiply the result by 49:
    • $975 imes 49 = 47875$

• Result for the multiplication expression:

  • Final evaluation:
  • $39 imes 25 imes 49 = 47875$

Algebraic Expressions

• The algebraic expression given:
  • $4a^2 imes 1b^2$
  • In this expression, apply the properties of exponents:
  • Since $(1b^2)$ can be rewritten as $b^2$ and the coefficient 1 does not affect the multiplication, this simplifies to:
    • $4a^2b^2$
  • Conclusion for the algebraic expression:
  • $4a^2 imes 1b^2 = 4a^2b^2$

Miscellaneous Calculations

• The numerical expression:
  • $62$
  • This simple numerical expression represents the integer sixty-two.
• Another numerical expression:
  • $2$
  • This simple numerical expression represents the integer two.