To determine: The value of the expression 1812+(−634).

Question

To determine:  The value of the expression 1812+(−634).

Jeffrey Parrish · Accepted Answer

Rule used:
Rules for addition of real numbers:
Rule 1:
If the two numbers have the same sign, add their absolute values and give the sum of the sign of the original numbers.
Rule 2:
If the two numbers have opposite signs, subtract the absolute values and give the sign of the number with the larger absolute value.
Calculation:
The given expression is

18 \frac{1}{2} + (- 6 \frac{3}{4})

.
In the given expression

18 \frac{1}{2} + (- 6 \frac{3}{4})

the positive number has the greater absolute value.
Hence, by the above rule, the sign of the answer will be positive.
Subtract the smaller absolute value

6 \frac{3}{4}

from the larger absolute value

18 \frac{1}{2}

.

| 18 \frac{1}{2} | + | - 6 \frac{3}{4} | = \frac{37}{2} - \frac{27}{4}

= \frac{74 - 27}{4}

= \frac{47}{4}

= 11 \frac{3}{4}

Place the positive sign as the positive number has the greater absolute value.
Therefore, the value of

18 \frac{1}{2} + (- 6 \frac{3}{4}) i s 11 \frac{3}{4}

.

To determine: The value of the expression 18\frac{1}{2}+(-6\frac{3}{4}).

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