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.

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

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Q. What is the sign of

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

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Choose

1

answer:

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(A) Positive

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(B) Negative

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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.