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musickatia [10]
3 years ago
9

If the absolute value of a number is added to the original number will the sum always equal 0

Mathematics
1 answer:
lbvjy [14]3 years ago
8 0
Not necessarily. the absolute value of a number is that number's distance from 0 on a number line. if your taking the absolute value of a negative value, what you stated would be true. however, what if you took the absolute value of a positive number? hope that answers your question.
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2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}

Solution:

Given expression is 2\frac{3}{4}+3 \frac{5}{8}.

To simplify the expression 2\frac{3}{4}+3 \frac{5}{8}.

Let us first convert the mixed fraction into improper fraction.

2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}

            =\frac{8+ 3}{4}+ \frac{24+5}{8}

            =\frac{11}{4}+ \frac{29}{8}

Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

            =\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}

            =\frac{22}{8}+ \frac{29}{8}

            =\frac{51}{8}

Now, divide 51 by 8 and again write it in the mixed fraction.

             =6\frac{3}{8}

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Hence, the simplified answer is 6\frac{3}{8}.

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