Answer :

To determine which expression is greater, we need to evaluate each one separately.

First, let's evaluate the expression [tex][-5+(-3)] \times 7[/tex].

  1. Start by simplifying the expression inside the brackets:
    [tex]-5 + (-3) = -5 - 3 = -8[/tex].

  2. Now, multiply the result by 7:
    [tex]-8 \times 7 = -56[/tex].

So, the value of the expression [tex][-5 + (-3)] \times 7[/tex] is [tex]-56[/tex].

Next, let's evaluate the expression [tex][-7+(-3)] \times 5[/tex].

  1. Simplify the expression inside the brackets:
    [tex]-7 + (-3) = -7 - 3 = -10[/tex].

  2. Now, multiply the result by 5:
    [tex]-10 \times 5 = -50[/tex].

So, the value of the expression [tex][-7 + (-3)] \times 5[/tex] is [tex]-50[/tex].

Now, compare the two results:

  • [tex]-56[/tex] and [tex]-50[/tex].

Since [tex]-50[/tex] is greater than [tex]-56[/tex] (because in negative numbers, the number closer to zero is greater), [tex][-7 + (-3)] \times 5[/tex] is the greater expression.