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Answer :
To evaluate the expression [tex]\(-116 \div -29\)[/tex], you need to follow these steps:
1. Identify the Numbers: Here, the numbers involved are [tex]\(-116\)[/tex] (the dividend) and [tex]\(-29\)[/tex] (the divisor).
2. Understand the Signs: Notice that both numbers are negative. When you divide two numbers with the same sign (both negative in this case), the result is positive.
3. Perform the Division: Divide the absolute values of the numbers. The absolute value of [tex]\(-116\)[/tex] is [tex]\(116\)[/tex], and the absolute value of [tex]\(-29\)[/tex] is [tex]\(29\)[/tex].
4. Calculate the Result: Divide [tex]\(116\)[/tex] by [tex]\(29\)[/tex]:
[tex]\[
116 \div 29 = 4
\][/tex]
5. Apply the Sign Rule: Since both original numbers were negative, and we determined the result of dividing negative numbers with negative numbers is positive, the final result is positive.
So, [tex]\(-116 \div -29 = 4\)[/tex].
1. Identify the Numbers: Here, the numbers involved are [tex]\(-116\)[/tex] (the dividend) and [tex]\(-29\)[/tex] (the divisor).
2. Understand the Signs: Notice that both numbers are negative. When you divide two numbers with the same sign (both negative in this case), the result is positive.
3. Perform the Division: Divide the absolute values of the numbers. The absolute value of [tex]\(-116\)[/tex] is [tex]\(116\)[/tex], and the absolute value of [tex]\(-29\)[/tex] is [tex]\(29\)[/tex].
4. Calculate the Result: Divide [tex]\(116\)[/tex] by [tex]\(29\)[/tex]:
[tex]\[
116 \div 29 = 4
\][/tex]
5. Apply the Sign Rule: Since both original numbers were negative, and we determined the result of dividing negative numbers with negative numbers is positive, the final result is positive.
So, [tex]\(-116 \div -29 = 4\)[/tex].
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