Check out Berkeley mathematician H.H. Wu's homepage.

In particular, see his textbook drafts for Pre-Algebra (pdf) and Introduction to School Algebra (pdf).

For example, see p. 20 and the discussion of decimals as "a class of fractions" in the former text.

Note that the book is intended for teachers of 6th-8th graders and not for students.

The exposition can, at times, be more rigorous than what you might be used to or expect.

At the least, I think this can help clarify some of the instructor's thinking around topics like decimals; after that, it will be up to you how best to adapt the presentation so as to make it useful for your students.

Specific example: See p. 28 in the Pre-Algebra text for a demonstration that $5.8900 = 5.89$.

Check out Berkeley mathematician H.H. Wu's homepage.

In particular, see his textbook drafts for Pre-Algebra (pdf) and Introduction to School Algebra (pdf).

For example, see p. 20 and the discussion of decimals as "a class of fractions" in the former text.

Note that the book is intended for teachers of 6th-8th graders and not for students.

The exposition can, at times, be more rigorous than what you might be used to or expect.

At the least, I think this can help clarify some of the instructor's thinking around topics like decimals; after that, it will be up to you how best to adapt the presentation so as to make it useful for your students.

Specific example: See p. 28 in the Pre-Algebra text; I will paste a screen-shot below.

Check out Berkeley mathematician H.H. Wu's homepage.

In particular, see his textbook drafts for Pre-Algebra (pdf) and Introduction to School Algebra (pdf).

For example, see p. 20 and the discussion of decimals as "a class of fractions" in the former text.

Note that the book is intended for teachers of 6th-8th graders and not for students.

The exposition can, at times, be more rigorous than what you might be used to or expect.

At the least, I think this can help clarify some of the instructor's thinking around topics like decimals; after that, it will be up to you how best to adapt the presentation so as to make it useful for your students.

Check out Berkeley mathematician H.H. Wu's homepage.

In particular, see his textbook drafts for Pre-Algebra (pdf) and Introduction to School Algebra (pdf).

For example, see p. 20 and the discussion of decimals as "a class of fractions" in the former text.

Note that the book is intended for teachers of 6th-8th graders and not for students.

The exposition can, at times, be more rigorous than what you might be used to or expect.

At the least, I think this can help clarify some of the instructor's thinking around topics like decimals; after that, it will be up to you how best to adapt the presentation so as to make it useful for your students.

Specific example: See p. 28 in the Pre-Algebra text for a demonstration that $5.8900 = 5.89$.