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Which expression is equivalent to 
-9-(-4(1)/(3)) ?
Choose 1 answer:
(A) 
-9+4(1)/(3)
(B) 
-4(1)/(3)-(-9)
(C) 
-4(1)/(3)+(-9)
(D) 
9-(-4(1)/(3))

Which expression is equivalent to \newline9(413)-9-(-4\frac{1}{3}) ?\newlineChoose 11 answer:\newline(A) 9+413-9+4\frac{1}{3}\newline(B) 413(9)-4\frac{1}{3}-(-9)\newline(C) 413+(9)-4\frac{1}{3}+(-9)\newline(D) 9(413)9-(-4\frac{1}{3})

Full solution

Q. Which expression is equivalent to \newline9(413)-9-(-4\frac{1}{3}) ?\newlineChoose 11 answer:\newline(A) 9+413-9+4\frac{1}{3}\newline(B) 413(9)-4\frac{1}{3}-(-9)\newline(C) 413+(9)-4\frac{1}{3}+(-9)\newline(D) 9(413)9-(-4\frac{1}{3})
  1. Understand the problem: Understand the problem.\newlineWe need to find an expression equivalent to 9(4(13))-9-(-4(\frac{1}{3})). This involves simplifying the expression by removing the parentheses and combining like terms.
  2. Apply distributive property: Apply the distributive property to remove the parentheses.\newline9(413)-9 - (-4\frac{1}{3}) can be simplified by distributing the negative sign inside the parentheses, which is the same as multiplying by 1-1.\newline9(413)=9+413-9 - (-4\frac{1}{3}) = -9 + 4\frac{1}{3}
  3. Identify equivalent expression: Identify the equivalent expression.\newlineLooking at the options given, we can see that the expression we have obtained, 9+4(13)-9 + 4\left(\frac{1}{3}\right), matches option (A).
  4. Verify other options: Verify that the other options are not equivalent.\newline(B) 4(13)(9)-4\left(\frac{1}{3}\right)-(-9) simplifies to 4(13)+9-4\left(\frac{1}{3}\right)+9, which is not the same as our expression.\newline(C) 4(13)+(9)-4\left(\frac{1}{3}\right)+(-9) is the same as 4(13)9-4\left(\frac{1}{3}\right)-9, which is also not the same as our expression.\newline(D) 9(4(13))9-(-4\left(\frac{1}{3}\right)) simplifies to 9+4(13)9+4\left(\frac{1}{3}\right), which is not the same as our expression.

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