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Solve Problems with Decimals (Using Models)
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 We’ll add, subtract, multiply and divide decimals using models.
 We will also learn how to use estimation to decide if our answer is reasonable.
 And that this knowledge can help us feed our pets, go hiking and even grow crystals!

Discussion Questions
 Before VideoGive the value of each digit in 5.39.ANSWER
5 wholes, 3 tenths, and 9 hundredths
Every 10 hundredths can be regrouped as 1 tenth. So, 56 hundredths is 5 tenths and 6 hundredths.
Every 10 tenths can be regrouped as 1 whole. So, 48 tenths is 4 wholes and 8 tenths.
If I divide 63 wholes equally among 9 groups, each group has 7 wholes. 63 ÷ 9 = 7.
I can round 58 to 60, and 32 to 30. 60 × 30 is 1,800, which is close to 1,856. This is how I know my answer makes sense.
 After VideoIf you are calculating 3.64 – 2.14, which number should you represent using the fraction square model? What is the second step? ANSWER
The greater number, 3.64. Then, take away blocks that represent 2.14 in total.
I don’t have enough tenths to subtract 8 tenths, so I need to regroup 1 of the wholes as 10 tenths. Then, I have 2 wholes and 14 tenths. Now I can subtract 8 tenths from 14 tenths. The answer is what remains, 2 wholes and 6 tenths, or 2.6.
1.4 means 1 whole and 4 tenths. I need to multiply each number by 6, which is the same as skip counting sixes. 6 × 1 = 6. 6 × 4 tenths = 24 tenths. 24 tenths is the same as 2 wholes and 4 tenths, so altogether I have 8 wholes and 4 tenths, or 8.4.
No, Mimi needs to do some regrouping, starting with the smallest place, the hundredths place. 28 hundredths can be regrouped as 2 tenths and 8 hundredths. So, now there are 8 wholes, 12 + 2 = 14 tenths, and 8 hundredths. Next, regroup some of the tenths. 10 tenths can be regrouped as 1 whole, so the final answer is 9 wholes, 4 tenths, and 8 hundredths, or 9.48.
I can round 3.8 to 4 and 5.1 to 5. Multiply: 4 × 5 = 20. 20 is close to 19.38, so the answer makes sense.

Vocabulary
 Place value DEFINE
Tells us the value of a digit based on its position in a number.
 Decimals DEFINE
Numbers that allow us to show parts of a whole.
 Ones place DEFINE
Shows the number of wholes.
 Tenths place DEFINE
Shows the number of parts out of 10.
 Hundredths place DEFINE
To the right of the tenths place, and shows us the number of parts out of 100.
 Models DEFINE
Visual tools that help us to represent numbers.
 Regroup DEFINE
When we have 10 of one place value, we can regroup to create 1 of the place value on its left.
 Place value DEFINE

Reading Material

Practice Word Problems

Practice Number Problems

Lesson Plan

Teacher Guide