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Evaluate the expression.

0.1+0.2÷(0.7-0.9)

Evaluate the expression.\newline0.1+0.2÷(0.70.9) 0.1+0.2 \div(0.7-0.9)

Full solution

Q. Evaluate the expression.\newline0.1+0.2÷(0.70.9) 0.1+0.2 \div(0.7-0.9)
  1. Identify Order of Operations: Identify the order of operations to solve the expression.\newlineAccording to the order of operations (PEMDAS/BODMAS), we must first calculate the expression inside the parentheses, then perform division, and finally addition.
  2. Calculate Inside Parentheses: Calculate the expression inside the parentheses 0.70.90.7 - 0.9. 0.70.9=0.2-0.7 - 0.9 = -0.2
  3. Perform Division: Perform the division with the result from the previous step. 0.2÷(0.2)=10.2 \div (-0.2) = -1
  4. Add Result to 00.11: Add the result of the division to 0.10.1. \newline0.1+(1)=0.11=0.90.1 + (-1) = 0.1 - 1 = -0.9

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