High School

1. Is the sentence true or false?

a. Is 5 x 5 x 5 = 5 x 3?

b. Is 49 divided by 7 equal to 7?

c. Input rule output: 3 x 7 -> 23

Answer :

Let's analyze each part of the question one by one.


  1. Is [tex]5 \times 5 \times 5 = 5 \times 3[/tex] true or false?


    • Left side: [tex]5 \times 5 \times 5 = 125[/tex] because [tex]5 \times 5 = 25[/tex] and then [tex]25 \times 5 = 125[/tex].

    • Right side: [tex]5 \times 3 = 15[/tex].

    • Since [tex]125 \neq 15[/tex], the statement is false.



  2. Is 49 divided by 7 equal to 7?


    • When we divide 49 by 7, we get [tex]\frac{49}{7} = 7[/tex].

    • Since 49 divided by 7 does indeed equal 7, this statement is true.



  3. Input rule output: [tex]3 \times 7 \rightarrow 23[/tex]


    • Multiplying 3 by 7 gives [tex]3 \times 7 = 21[/tex], not 23.

    • Therefore, the output does not match the expected result from the input rule if it's based strictly on multiplication.

    • This statement is false if we interpret the rule strictly as multiplication without any additional operations.