Lesson 3: Division Review

Wrapping Up

Conclusion

You have now reviewed and practiced the algorithms for adding, subtracting, multiplying, and dividing whole numbers and decimal numbers. These basic operations form the foundation for much of the math we do. You will continue to use these skills as you work through the rest of the units in this level. Keep your Interactive Notebook handy for reference if you need review of the algorithm steps.

Questions to Discuss

  • The number is 5,610. Decide if the number is divisible by 2, 3, 4, 5, 6, 9, 10, and/or 12. (5,610 is divisible by 2 because it is even, by 3 because the digits add to 12 which is divisible by 3, by 5 because it ends in a 0, by 6 because it is divisible by both 2 and 3, and by 10 because it ends in a 0.)
  • In the problem 56.7 ÷ 0.45, how many times should the decimal points be moved before using long division? (2 times, the divisor is 0.45 and the decimal should move 2 times to the right to make it 45; the decimal should move two times to the right in the dividend to keep the problem equivalent)
  • Heather has 145 books and can fit 10 books in each book basket. How many baskets will she need to hold all the books? Explain how the remainder was interpreted. (15 baskets, 145 ÷ 10 = 14 r. 5, Heather needs to have all the books in baskets, so the remainder requires another basket for the final answer)

Things to Review

  • Review the divisibility rules for 2, 3, 4, 5, 6, 9, 10, and 12
  • Review the algorithm for long division of whole numbers
  • Review the algorithm for long division of decimal numbers, including the first step (moving the decimals) when a decimal appears in the divisor
  • Review the four ways a remainder can be interpreted in a division word problem

Learning Gates

Take the Learning Gates quiz for this lesson.