To simplify: The expression 14-|-20|.

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To simplify:  The expression 14-|-20|.

Marlene Broomfield · Accepted Answer

Approach:&amp;nbsp;The distance a number is from 0 on the number line is its absolute value.The absolute value for a is |a| = a.&amp;nbsp;The absolute value for -a is |-a| = a.&amp;nbsp;Replace the second number in the following statement with the additive inverse of the number, i.e., to write the expression in terms of addition. -x = +(-x).&amp;nbsp;To add two integers with the different signs, follow the steps below: -&amp;nbsp;(i) The specified integers&#039; absolute values should be written down.(ii) Decide which absolute value is larger.(iii) Subtract the smaller absolute value from the larger absolute value.&amp;nbsp;(iv) Use the sign of the number with larger absolute value as the sign of the sum.&amp;nbsp;Calculation:&amp;nbsp;The absolute value |-20| = 20.&amp;nbsp;The given expression can therefore be rewritten as 14 — 20.The additive inverse of the second number —20 = +(—20).&amp;nbsp;Hence, the given expression can be rewritten as 14 + (—20).&amp;nbsp;Performing addition 14 + (—20).&amp;nbsp;(i) Summarizing the given integers in absolute value.|14| = 14,|-20| = 20&amp;nbsp;(ii) The larger absolute value is 20.&amp;nbsp;(iii) Subtracting the smaller absolute value from the larger absolute value.&amp;nbsp;20-14 =6&amp;nbsp;(iv) Since the sign of the number with larger absolute value is negative, hence the sum is also negative.&amp;nbsp;14 + (—20) = -6.&amp;nbsp;Thus, 14-|-20|=-6

To simplify: The expression 14-|-20|.

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