Solve the given expression |43+(-73)|+|-20|

Chris Cruz

Chris Cruz

Answered question

2021-12-06

Solve the given expression |43+(-73)|+|-20|

Answer & Explanation

Kindlein6h

Kindlein6h

Beginner2021-12-07Added 27 answers

Concept:
If grouping symbols such as absolute value bars are present, simplify expressions within those first.
Absolute value of |a| of a is always positive.
Add or subtract in order from left to right.
To add two numbers with the same sign, add their absolute values and attach their common sign. To add two numbers with the same sign, add their absolute values and attach their common sign.
To add two numbers with different signs, subtract the smaller absolute value from the larger absolute value and attach the sign of the number with the larger absolute value.
Given:
|43 + (-73)| + |-20|
Calculations:
|43 + (-73)| + |-20|
According to order of operations, need to solve 43 + (-73)
For that, find the absolute values of given numbers.
Hence using the rule of absolute values,
|43|=43 and |-73|=73
According to rule of addition of real numbers, subtract the smaller absolute value from the larger absolute value.
73-43
By simplifying,
73-43 = 30
Next, attach the sign of the number with the larger absolute value, so attach the sign of 73 which is negative.
43+ (-73) = -30
Thus, |43 + (-73) | =|-30|
According to the absolute value
|-30|=30
Similarly,
|-20| = 20
Therefore, expression becomes
30 + 20
Therefore, find the absolute values of given numbers.
Hence using the rule of absolute values,
|30| = 30 and |20| = 20
According to rule of addition of real numbers, add their absolute value.
30 + 20 = 50
Next, attach their common sign which is positive.
Thus 30+ 20=50
Conclusion:
|43 + (-73)| + |-20| = 50

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