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Which best describes the solution to [tex]$4 - 7$[/tex]?

A. Because [tex]-4 + (-7)[/tex] is an equivalent expression, the answer is -11.
B. Because [tex]4 + (-7)[/tex] is an equivalent expression, the answer is -3.
C. Because [tex]^{4+(-7)}[/tex] is an equivalent expression, the answer is -11.
D. Because [tex]{ }^{-4+(-7)}[/tex] is an equivalent expression, the answer is -3.

Sagot :

GinnyAnsweridn
To solve the expression [tex]$4 - 7$[/tex], we first recognize that subtraction can also be expressed as the addition of a negative number. Therefore, we can rewrite the expression using addition:

[tex]\[ 4 - 7 = 4 + (-7) \][/tex]

Next, we add 4 and -7 together. Adding a positive number and a negative number is essentially a matter of combining their absolute values and assigning the sign of the larger absolute value. The absolute value of 4 is 4, and the absolute value of -7 is 7. Since 7 is greater than 4, and -7 has the negative sign, we perform the subtraction:

[tex]\[ |7| - |4| = 7 - 4 = 3 \][/tex]

And then assign the negative sign from -7:

[tex]\[ 4 + (-7) = -3 \][/tex]

Thus, the correct answer is that the expression [tex]$4 - 7$[/tex] simplifies to -3. Therefore, the correct description of the solution is:

[tex]\[ \text{Because } 4 + (-7) \text{ is an equivalent expression, the answer is } -3. \][/tex]
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