(−5.2)+(−3.8)–{(−1.2)–[(−0.5)–(−0.7)]}=?
(−5.2)+(−3.8)–{(−1.2)–[(−0.5)–(−0.7)]}
Just use your BEDMAS rules, but we only have to worry about brackets, which are worked from the most inside to the outer.
(−5.2)+(−3.8)–{(−1.2)–[(−0.5)–(−0.7)]}
= (−5.2)+(−3.8)–{(−1.2)–[−0.5 + 0.7]}
= (−5.2)+(−3.8)–{(−1.2)– 0.2}
= -5.2 - 3.8 - {-1.4}
= -5.2 - 3.8 +1.4
= -7.6
or you can just google it:
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To solve this expression step-by-step, let's start by simplifying the innermost parentheses first.
1. Simplify: (−0.5)–(−0.7)
This is equivalent to adding a positive 0.7 to a negative 0.5.
(−0.5) + (0.7) = 0.2
Now we can substitute the value of [−0.5 – (−0.7)] in the original expression.
2. Substitute: (−1.2) – [0.2]
This is equivalent to subtracting 0.2 from −1.2.
(−1.2) – (0.2) = −1.4
Now let's continue simplifying the expression by substituting the value of [(−1.2) – (0.2)] in the original expression.
3. Substitute: (−5.2) + (−3.8) – (−1.4)
To add two negative numbers, you can add their absolute values and then put a negative sign in front of the result.
(−5.2) + (−3.8) = −9
Now let's continue simplifying the expression by substituting the value of [(−5.2) + (−3.8) – (−1.4)].
4. Substitute: −9 – (−1.4)
To subtract a negative number, you can change the subtraction sign to addition and then change the sign of the number being subtracted.
−9 – (−1.4) = −9 + 1.4
Now let's perform the addition.
5. Add: −9 + 1.4
This is equivalent to subtracting the absolute value of 1.4 from −9.
−9 + 1.4 = −7.6
Therefore, the value of (−5.2) + (−3.8) – {(−1.2) – [(−0.5) – (−0.7)]} is −7.6.
To solve the given expression, let's break it down step by step:
Step 1: Calculate the innermost parentheses first.
- Within the square brackets, subtract -0.7 from -0.5: (-0.5) - (-0.7) = -0.5 + 0.7 = 0.2.
- The expression now simplifies to (-1.2) - (0.2).
Step 2: Continue with the next set of parentheses.
- Subtract 0.2 from -1.2: -1.2 - 0.2 = -1.4.
- The expression now becomes (-5.2) + (-3.8) - (-1.4).
Step 3: Deal with the remaining subtraction.
- Change the subtraction of -1.4 to addition by changing the sign: (-5.2) + (-3.8) + 1.4.
Step 4: Add the numbers together.
- Add -5.2 and -3.8: (-5.2) + (-3.8) = -9.0.
- Add -9.0 and 1.4: (-9.0) + 1.4 = -7.6.
Therefore, (-5.2) + (-3.8) - {(-1.2) - [(-0.5) - (-0.7)]} = -7.6.