What is the missing number in this simplified exponential expression: 7? ÷ 7 and 5 = 7 and 12,
The missing number in this simplified exponential expression is 7.
To find the missing number in the simplified exponential expression, let's break down the given expression step-by-step.
We have: 7? ÷ 7 and 5 = 7 and 12
First, let's simplify the left side of the equation: 7? ÷ 7 and 5.
Since we have "7 and 5" on the right side of the equation, it's reasonable to assume that "7 and" means "multiply by." So, we can rewrite the left side as: 7? ÷ (7 x 5).
Now, let's simplify further by multiplying 7 and 5: 7? ÷ 35.
To find the missing number, we need to determine what value of '?' would make the expression true. Since the given expression equals 7 and 12, we can set up the equation:
7? ÷ 35 = 7 and 12
To solve for '?', we can multiply both sides of the equation by 35:
7? = (7 and 12) x 35
Calculate the expression in parentheses:
7 and 12 = 7 x 12 = 84
Now, let's substitute the value we obtained back into the equation:
7? = 84 x 35
Divide both sides of the equation by 7 to solve for '?':
7? ÷ 7 = (84 x 35) ÷ 7
The left side simplifies to:
? = 84 x 35 ÷ 7
Now, calculate the right side of the equation:
? = 2940 ÷ 7
Dividing 2940 by 7, we get:
? ≈ 420
Therefore, the missing number in the simplified exponential expression 7? ÷ 7 and 5 = 7 and 12 is approximately 420.
To find the missing number in the simplified exponential expression, we need to first understand the given expression.
The expression is: 7? ÷ 7 and 5 = 7 and 12.
To simplify this expression, we can break it down step by step:
Step 1: Divide 7 by 7. This gives us 1. So the expression becomes: 1? and 5 = 7 and 12.
Step 2: "? and 5" means that some operation is being performed between the missing number and 5.
Step 3: Since "1? and 5" equals 7 and 12, we need to find the operation that makes sense in this context.
One possible operation is addition, as adding 1 to 5 gives us 6. However, 6 is not equal to 7 and 12, so addition is not the correct operation.
Another possibility is multiplication. If we multiply 1 by 5, we get 5. And 5 is indeed equal to 7 and 12.
Therefore, the missing number in the expression is the number that makes multiplication work. In this case, the missing number is 5.
So the correct expression with the missing number filled in is: 7 multiplied by 5, divided by 7 and 5, equals 7 and 12.