1. The problem is to round decimal numbers to the nearest thousandth. 2. The rule for rounding to the nearest thousandth is to look at the digit in the ten-thousandth place (the fourth digit after the decimal point). 3. If this digit is 5 or greater, increase the thousandth digit by 1. 4. If this digit is less than 5, keep the thousandth digit the same and drop all digits after it. 5. Let's apply this to the first number: 6.6368 - The thousandth digit is 6 (third digit after decimal). - The ten-thousandth digit is 8, which is greater than 5. - So, increase 6 by 1 to get 7. - Rounded number: 6.637 6. For the second number: 2.7978 - Thousandth digit: 7 - Ten-thousandth digit: 8 (greater than 5) - Increase 7 by 1 to get 8 - Rounded number: 2.798 7. For the third number: 4.6435 - Thousandth digit: 3 - Ten-thousandth digit: 5 (equal to 5) - Increase 3 by 1 to get 4 - Rounded number: 4.644 8. For the fourth number: 5.6931 - Thousandth digit: 3 - Ten-thousandth digit: 1 (less than 5) - Keep 3 as is - Rounded number: 5.693 9. For the fifth number: 1.9555 - Thousandth digit: 5 - Ten-thousandth digit: 5 (equal to 5) - Increase 5 by 1 to get 6 - Rounded number: 1.956 10. For the sixth number: 6.3721 - Thousandth digit: 2 - Ten-thousandth digit: 1 (less than 5) - Keep 2 as is - Rounded number: 6.372 11. For the seventh number: 2.9856 - Thousandth digit: 5 - Ten-thousandth digit: 6 (greater than 5) - Increase 5 by 1 to get 6 - Rounded number: 2.986 12. For the eighth number: 5.4663 - Thousandth digit: 6 - Ten-thousandth digit: 3 (less than 5) - Keep 6 as is - Rounded number: 5.466 13. For the ninth number: 5.7598 - Thousandth digit: 9 - Ten-thousandth digit: 8 (greater than 5) - Increase 9 by 1 to get 10, which means carry over - So, 9 becomes 0 and increase hundredth digit by 1 - Hundredth digit is 5, increase to 6 - Rounded number: 5.760 14. For the tenth number: 5.8216 - Thousandth digit: 1 - Ten-thousandth digit: 6 (greater than 5) - Increase 1 by 1 to get 2 - Rounded number: 5.822 15. For the second set, apply the same rules: 16. 7.92699 -> 7.927 17. 3.94863 -> 3.949 18. 8.74583 -> 8.746 19. 3.59762 -> 3.598 20. 8.65114 -> 8.651 21. 3.17121 -> 3.171 22. 3.98549 -> 3.985 23. 8.14534 -> 8.145 24. 9.23179 -> 9.232 25. 3.75649 -> 3.756 Final answers: First set: 6.637, 2.798, 4.644, 5.693, 1.956, 6.372, 2.986, 5.466, 5.760, 5.822 Second set: 7.927, 3.949, 8.746, 3.598, 8.651, 3.171, 3.985, 8.145, 9.232, 3.756