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Answer :
To determine which expression has the same value as [tex]\(-97.4 - 5.2\)[/tex], we compare each of the given expressions to see if any of them equals the original expression:
1. Original Expression:
[tex]\(-97.4 - 5.2\)[/tex]
When we calculate this, we get [tex]\(-102.6\)[/tex].
2. Compare with Each Option:
a) Option 1: [tex]\(-5.2 - (-97.4)\)[/tex]
This simplifies to:
[tex]\(-5.2 + 97.4 = 92.2\)[/tex]
b) Option 2: [tex]\(-97.4 + (-5.2)\)[/tex]
This simplifies to:
[tex]\(-97.4 - 5.2 = -102.6\)[/tex]
c) Option 3: [tex]\(-97.4 - (-5.2)\)[/tex]
This simplifies to:
[tex]\(-97.4 + 5.2 = -92.2\)[/tex]
d) Option 4: [tex]\(97.4 + (-5.2)\)[/tex]
This simplifies to:
[tex]\(97.4 - 5.2 = 92.2\)[/tex]
3. Conclusion:
Out of these options, the expression [tex]\(-97.4 + (-5.2)\)[/tex] matches the value of the original expression, [tex]\(-102.6\)[/tex]. Therefore, the correct option is [tex]\(-97.4 + (-5.2)\)[/tex].
1. Original Expression:
[tex]\(-97.4 - 5.2\)[/tex]
When we calculate this, we get [tex]\(-102.6\)[/tex].
2. Compare with Each Option:
a) Option 1: [tex]\(-5.2 - (-97.4)\)[/tex]
This simplifies to:
[tex]\(-5.2 + 97.4 = 92.2\)[/tex]
b) Option 2: [tex]\(-97.4 + (-5.2)\)[/tex]
This simplifies to:
[tex]\(-97.4 - 5.2 = -102.6\)[/tex]
c) Option 3: [tex]\(-97.4 - (-5.2)\)[/tex]
This simplifies to:
[tex]\(-97.4 + 5.2 = -92.2\)[/tex]
d) Option 4: [tex]\(97.4 + (-5.2)\)[/tex]
This simplifies to:
[tex]\(97.4 - 5.2 = 92.2\)[/tex]
3. Conclusion:
Out of these options, the expression [tex]\(-97.4 + (-5.2)\)[/tex] matches the value of the original expression, [tex]\(-102.6\)[/tex]. Therefore, the correct option is [tex]\(-97.4 + (-5.2)\)[/tex].
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