Which of the following interchanges of signs would make the given equ...
To make the given equation 64 - 8 x 98 = 55 correct, we need to interchange the signs in the equation in a way that the resulting expression equals 55. Let's analyze each option to see which one satisfies this condition.
Option a) and -b): This option suggests interchanging the plus sign (+) with the minus sign (-). If we do this interchange, the equation becomes 64 - 8 x 98 = 55, which is the same as the original equation. Therefore, this option does not make the equation correct.
Option c) ( and ÷): This option suggests interchanging the multiplication sign (x) with the division sign (÷). If we do this interchange, the equation becomes 64 - 8 ÷ 98 = 55. Now let's calculate the expression:
First, let's divide 8 by 98:
8 ÷ 98 = 0.0816 (rounded to four decimal places)
Now, let's substitute this value back into the equation:
64 - 0.0816 = 55.9184 (rounded to four decimal places)
As we can see, the resulting expression is not equal to 55. Therefore, option c) does not make the equation correct.
Option d) (- and x): This option suggests interchanging the plus sign (+) with the minus sign (-). If we do this interchange, the equation becomes 64 - 8 x 98 = 55, which is the same as the original equation. Therefore, this option does not make the equation correct.
Therefore, the correct answer is option c) ( and ÷).