What approximate value should come in the place ofquestion mark (?) in the following question? 53.97 ÷ 90.9989 =9 × ?

1. Break Down the Problem

We need to determine the value of the question mark (?) in the equation:

$53.97 \div 90.9989 = 9 \times ?$

This can be solved by isolating the question mark.

2. Relevant Concepts

To find the value of ?, we can rearrange the equation as follows: $? = \frac{53.97 \div 90.9989}{9}$

3. Analysis and Detail

1. First, compute the division $53.97 \div 90.9989$: $53.97 \div 90.9989 \approx 0.5920 \text{ (rounded to four decimal places)}$

2. Next, divide the result by 9: $? = \frac{0.5920}{9} \approx 0.0658 \text{ (rounded to four decimal places)}$

4. Verify and Summarize

To verify, we can check:

1. Multiply the calculated value of ? by 9.
2. Check that it matches the left side of the equation.

Calculating: $9 \times 0.0658 \approx 0.5922 \text{ (which is indeed very close to } 0.5920)$

Final Answer

The approximate value for the question mark (?) is:

$? \approx 0.0658$