Questions: Question 4 2 pts 3 Details In the order of operations problem that follows, the calculation 7 * 5 would take priority over 5+4. 7 * 5 + 4 - 6^9 / 3 Rewrite the problem so that none of the numbers or operation signs change, but 5+4 would take priority. (Hint: Using math symbols, how would you communicate to another person or a calculator that 5+4 should come first?) Use * to represent multiplication, ^ to indicate an exponent, and / to represent division. Submit Question

Question 4
2 pts
3
Details

In the order of operations problem that follows, the calculation 7 * 5 would take priority over 5+4.

7 * 5 + 4 - 6^9 / 3

Rewrite the problem so that none of the numbers or operation signs change, but 5+4 would take priority. (Hint: Using math symbols, how would you communicate to another person or a calculator that 5+4 should come first?)

Use * to represent multiplication, ^ to indicate an exponent, and / to represent division.
Submit Question

Transcript text: Question 4 2 pts 3 Details In the order of operations problem that follows, the calculation $7 \cdot 5$ would take priority over $5+4$. \[ 7 \cdot 5+4-6^{9} \div 3 \] Rewrite the problem so that none of the numbers or operation signs change, but $5+4$ would take priority. (Hint: Using math symbols, how would you communicate to another person or a calculator that $5+4$ should come first?) Use * to represent multiplication, ^ to indicate an exponent, and / to represent division. $\square$ Submit Question

Solution

Solution Steps

To ensure that the addition operation $5 + 4$ takes priority over the multiplication $7 \cdot 5$, we can use parentheses to group the addition operation. This will override the default order of operations, which prioritizes multiplication and division over addition and subtraction.

Step 1: Rewrite the Expression with Parentheses

To prioritize the addition $5 + 4$ over the multiplication $7 \cdot 5$, we rewrite the expression by adding parentheses around $5 + 4$. The modified expression becomes: \[ 7 \cdot (5 + 4) - \frac{6^9}{3} \]

Step 2: Simplify the Expression Inside the Parentheses

Calculate the value inside the parentheses: \[ 5 + 4 = 9 \]

Step 3: Perform the Multiplication

Multiply the result from Step 2 by 7: \[ 7 \cdot 9 = 63 \]

Step 4: Calculate the Exponent and Division

Calculate the exponent and then divide by 3: \[ 6^9 = 10077696 \] \[ \frac{10077696}{3} = 3359232 \]

Step 5: Perform the Subtraction

Subtract the result from Step 4 from the result in Step 3: \[ 63 - 3359232 = -3359169 \]