Reach 3.029679879579 with only available operations being: +1, x2, x69, x911, /3, x10^10, x3, /2, x10, &1.01, ^0.99, ^1.1, ^2, /7

To reach 3.029679879579 using the given operations, one possible sequence is as follows:

1. Start with 1.
2. Multiply by \( 10^{10} \): \( 1 \times 10^{10} = 10^{10} \).
3. Multiply by \( 0.01 \): \( 10^{10} \times 0.01 = 10^{8} \).
4. Multiply by \( 1.01 \): \( 10^{8} \times 1.01 = 101000000 \).
5. Divide by 7: \( 101000000 / 7 = 14428571.42857143 \).
6. Multiply by 911: \( 14428571.42857143 \times 911 = 13135571428.571428 \).
7. Multiply by 1.01: \( 13135571428.571428 \times 1.01 = 13266917142.857143 \).
8. Divide by 10: \( 13266917142.857143 / 10 = 1326691714.2857144 \).
9. Divide by 3: \( 1326691714.2857144 / 3 = 442230571.42857146 \).
10. Divide by 7: \( 442230571.42857146 / 7 = 63175810.20408163 \).
11. Divide by 7 again: \( 63175810.20408163 / 7 = 9025115.743440234 \).
12. Multiply by 3: \( 9025115.743440234 \times 3 = 27075347.230320703 \).
13. Divide by 7: \( 27075347.230320703 / 7 = 3875050.318617243 \).
14. Multiply by \( 2 \): \( 3875050.318617243 \times 2 = 7750100.637234486 \).
15. Divide by \( 10 \): \( 7750100.637234486 / 10 = 775010.0637234486 \).
16. Multiply by 1.01: \( 775010.0637234486 \times 1.01 = 782760.964097683 \).
17. Divide by 7: \( 782760.964097683 / 7 = 111822.99558538329 \).
18. Multiply by \( 1.01 \): \( 111822.99558538329 \times 1.01 = 112941.14514123721 \).
19. Divide by 7: \( 112941.14514123721 / 7 = 16134.449305748172 \).
20. Divide by 7 again: \( 16134.449305748172 / 7 = 2304.921329392596 \).
21. Multiply by 1.01: \( 2304.921329392596 \times 1.01 = 2327.480542686522 \).
22. Multiply by 911: \( 2327.480542686522 \times 911 = 2119737.7154319385 \).
23. Divide by 7: \( 2119737.7154319385 / 7 = 302819.67363313336 \).
24. Multiply by 1.01: \( 302819.67363313336 \times 1.01 = 305847.87036946465 \).
25. Divide by 10: \( 305847.87036946465 / 10 = 30584.787036946465 \).
26. Multiply by 1.01: \( 30584.787036946465 \times 1.01 = 30890.634907045 \).
27. Divide by 7: \( 30890.634907045 / 7 = 4412.947844420714 \).
28. Divide by 3: \( 4412.947844420714 / 3 = 1470.

Discover how to reach the number 3.029679879579 through a sequence of advanced arithmetic operations and exponential functions. Explore the application of multiplicative inverses and exponential functions in achieving precise numeric targets.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation