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What is the sign of
48(2)/(9)+(-39(8)/(9)) ?
Choose 1 answer:
(A) Positive
(B) Negative
(C) Neither positive nor negative-the sum is zero.

What is the sign of $48 \frac{2}{9}+\left(-39 \frac{8}{9}\right) ?$ $\newline$ Choose $1$ answer: $\newline$ (A) Positive $\newline$ (B) Negative $\newline$ (C) Neither positive nor negative-the sum is zero.

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Write an equation from words

Full solution

Q. What is the sign of

48 \frac{2}{9}+\left(-39 \frac{8}{9}\right) ?

\newline

Choose

1

answer:

\newline

(A) Positive

\newline

(B) Negative

\newline

(C) Neither positive nor negative-the sum is zero.

Calculate first term: Calculate the first term of the sum. $\newline$ The first term is $48$ multiplied by $2$ , then divided by $9$ . This can be calculated as follows: $\newline$ $48 \times 2 = 96$ $\newline$ Now, divide by $9$ : $\newline$ $96 / 9 = 10$ with a remainder of $6$ , or $10 \frac{6}{9}$ which simplifies to $10 \frac{2}{3}$ . $\newline$ Since both $48$ and $2$ are positive, the result is positive.
Calculate second term: Calculate the second term of the sum. $\newline$ The second term is $-39$ multiplied by $8$ , then divided by $9$ . This can be calculated as follows: $\newline$ $-39 \times 8 = -312$ $\newline$ Now, divide by $9$ : $\newline$ $-312 / 9 = -34$ with a remainder of $-6$ , or $-34 \frac{6}{9}$ which simplifies to $-34 \frac{2}{3}$ . $\newline$ Since $-39$ is negative and $8$ is positive, the result is negative.
Add terms: Add the two terms together. $\newline$ Now we add the results from Step $1$ and Step $2$ : $\newline$ $10 \frac{2}{3} + (-34 \frac{2}{3})$ $\newline$ Since the fractions are the same, we can add the whole numbers directly: $\newline$ $10 + (-34) = -24$ $\newline$ The fraction parts cancel each other out because they are equal and opposite in sign.
Determine sign: Determine the sign of the sum. $\newline$ The sum of $10\frac{2}{3}$ and $-34\frac{2}{3}$ is $-24$ , which is a negative number.

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