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Which expression is equivalent to 1.3(1.9)-1.3-(-1.9) ?\newlineChoose 11 answer:\newline(A) 1.9+1.3-1.9+1.3\newline(B) 1.3+(1.9)-1.3+(-1.9)\newline(C) 1.3+1.9-1.3+1.9\newline(D) 1.3+1.91.3+1.9

Full solution

Q. Which expression is equivalent to 1.3(1.9)-1.3-(-1.9) ?\newlineChoose 11 answer:\newline(A) 1.9+1.3-1.9+1.3\newline(B) 1.3+(1.9)-1.3+(-1.9)\newline(C) 1.3+1.9-1.3+1.9\newline(D) 1.3+1.91.3+1.9
  1. Understand the problem: Understand the problem.\newlineWe need to find an expression that is equivalent to 1.3(1.9)-1.3-(-1.9). This involves understanding the rules of adding and subtracting negative numbers.
  2. Apply the rule: Apply the rule for subtracting a negative number.\newlineSubtracting a negative number is the same as adding its positive counterpart. So, 1.3(1.9)-1.3-(-1.9) is equivalent to 1.3+1.9-1.3+1.9.
  3. Check the answer choices: Check the answer choices.\newlineWe need to find the choice that matches the expression -1.3+1.9").\(\newline(A) \$-1.9+1.3\) is not the same because the order of the numbers is reversed.\(\newline\)(B) \(-1.3+(-1.9)\) is not the same because it suggests adding a negative number, not subtracting it.\(\newline\)(C) \(-1.3+1.9\) is the same as our expression from Step \(2\).\(\newline\)(D) \(1.3+1.9\) is not the same because it does not include the initial negative sign for \(1.3\).
  4. Select the correct answer: Select the correct answer.\(\newline\)The correct answer is (C) \(-1.3+1.9\) because it is equivalent to the original expression \(-1.3-(-1.9)\).