I need help with 1-3 and 5. please explain your answer in detail. Thank you!

4.3 Check Yourself By now you should be able to explain the multiplication and division algorithms to some one else who does not understand the processes. You should know the pros and cons of the standard algorithms and student-invented algorithms, and provide a cogent argument defending your view of what is important for children to learn about the procedures for carrying out arithmetic procedures. You should also be able to do problems like those assigned and to meet the following objectives: 1. Explain each step of the addition (0.g., for 378 + 49) and subtraction algorithms (eg.. for 378 - 49) and show how renaming is used 2. Explain each step of whole number multiplication (e.g. 375 x 213) using partial products, 3. Explain division of whole numbers (eg, 764 +46) using a series of algorithms that leads to the standard algorithm. 4. Recognize the role of place value in the algorithms 5. Discuss the role of both nonstandard and standard algorithms