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Simplify the following expression:

[tex]\[
(-2,45) \cdot 7
\][/tex]

Sagot :

Sure, let's solve the given problem step-by-step.

We need to multiply [tex]\(-2.45\)[/tex] by [tex]\(7\)[/tex].

[tex]\[ -2.45 \times 7 \][/tex]

When we multiply a negative number by a positive number, the result is negative. So, we can already determine the result will be negative.

Next, let's focus on the absolute values. We need to find the product of [tex]\(2.45\)[/tex] and [tex]\(7\)[/tex]. Doing such computation, we arrive at a detailed precise result:

[tex]\[ 2.45 \times 7 = 17.15 \][/tex]

Now, considering the sign, since [tex]\(-2.45\)[/tex] is negative and we are multiplying by a positive number, the final result should be:

[tex]\[ -17.15 \][/tex]

Thus,

[tex]\[ (-2.45) \cdot (7) = -17.150000000000002 \][/tex]

Hence, the result of [tex]\((-2.45) \cdot (7)\)[/tex] is:

[tex]\[ \boxed{-17.150000000000002} \][/tex]