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Given [tex]\(5.05 \times (-14.6)\)[/tex], find the product.

A. 651.11
B. 7.38
C. -9.55
D. -73.73

Sagot :

To find the product of the numbers [tex]\( 5.05 \)[/tex] and [tex]\( -14.6 \)[/tex], we multiply them together:

1. We start by noting the signs of the numbers. The first number, 5.05, is positive. The second number, -14.6, is negative. The product of a positive number and a negative number is negative.

2. We then multiply the absolute values of the numbers:
[tex]\[ 5.05 \times 14.6 \][/tex]

3. After calculating the multiplication, we obtain:
[tex]\[ 5.05 \times 14.6 = 73.73 \][/tex]

4. Since we determined that the product of a positive number and a negative number is negative, we apply the negative sign to our result:
[tex]\[ 73.73 \rightarrow -73.73 \][/tex]

Thus, the product of [tex]\( 5.05 \)[/tex] and [tex]\( -14.6 \)[/tex] is [tex]\( -73.73 \)[/tex].

Therefore, the correct answer is:
[tex]\[ -73.73 \][/tex]