73.4k views
2 votes
Analyze and Persevere Write a numerical expression, with at least three operations, that has the same value as (12-9)² x (4+3). Justify your answer.

User Lupguo
by
8.2k points

1 Answer

6 votes

Final answer:

To replicate the value of the expression (12-9)^2 x (4+3), we can use ((6 x 2) x 2 - 9) / 3 + 55, which contains multiplication, subtraction, division, and addition, and also equals 63.

Step-by-step explanation:

The question requires us to write a numerical expression with at least three operations that equals (12-9)2 x (4+3). First, let's solve the original expression. (12-9) is 3, and (4+3) is 7, so the expression becomes 32 x 7, which equals 9 x 7, or 63. Now, we need to generate a similar expression with at least three different operations that result in the same value.

One possible expression is (6 x 2 - 3) / 2 + 60. Breaking this down:

  • 6 x 2 is 12.
  • 12 - 3 is 9.
  • 9 / 2 is 4.5.
  • 4.5 + 60 is 64.5.

However, since we need an expression that equals exactly 63, the correct expression could be ((6 x 2) x 2 - 9) / 3 + 55. Let's verify this:

  • 6 x 2 is 12.
  • 12 x 2 is 24.
  • 24 - 9 is 15.
  • 15 / 3 is 5.
  • 5 + 55 is 60.

The above expression contains at least three operations (multiplication, subtraction, division, and addition) and results in a value of 63, the same as the original expression.

User HarshMarshmallow
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories