How do you make this this true?
26 = 5 + 3 squared - 6 x 7
22 = 5 + 3 squared - 6 x 7
406 = 5 + 3 squared - 6 x 7
26 = 5+(3^2-6)*7
play around with the others a while. There aren't that many places to put the parens.
To determine if the given equations are true, we need to follow the order of operations (PEMDAS/BODMAS). This is the step-by-step breakdown for each equation:
1. 26 = 5 + 3² - 6 * 7
- Start with exponentiation: 3² = 3 * 3 = 9
- Then, work on multiplication and division from left to right: 6 * 7 = 42
- Finally, perform addition and subtraction from left to right: 5 + 9 - 42 = 14 - 42 = -28
- Therefore, 26 is not equal to -28.
2. 22 = 5 + 3² - 6 * 7
- Start with exponentiation: 3² = 3 * 3 = 9
- Then, work on multiplication and division from left to right: 6 * 7 = 42
- Finally, perform addition and subtraction from left to right: 5 + 9 - 42 = 14 - 42 = -28
- Therefore, 22 is not equal to -28.
3. 406 = 5 + 3² - 6 * 7
- Start with exponentiation: 3² = 3 * 3 = 9
- Then, work on multiplication and division from left to right: 6 * 7 = 42
- Finally, perform addition and subtraction from left to right: 5 + 9 - 42 = 14 - 42 = -28
- Therefore, 406 is not equal to -28.
Based on these calculations, none of the given equations are true.
To determine if a given equation is true, we need to solve it by following the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the equations one by one:
1. 26 = 5 + 3 squared - 6 x 7
To solve this equation, we need to calculate the value of each term following the order of operations.
- First, let's square 3: 3 squared = 3^2 = 9.
- Next, let's perform the multiplication: 6 x 7 = 42.
- Now, we can add and subtract from left to right: 5 + 9 - 42 = -28.
Therefore, the equation is not true since 26 does not equal -28.
2. 22 = 5 + 3 squared - 6 x 7
Using the same process:
- 3 squared = 3^2 = 9.
- 6 x 7 = 42.
- 5 + 9 - 42 = -28.
Again, the equation is not true as 22 does not equal -28.
3. 406 = 5 + 3 squared - 6 x 7
- 3 squared = 3^2 = 9.
- 6 x 7 = 42.
- 5 + 9 - 42 = -28.
Yet again, the equation is not true since 406 does not equal -28.
In conclusion, none of the given equations are true.