Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Let's do one together: Multiply 0.4 × 0.7. Multiply like whole numbers. What is 4 × 7? (4 × 7 = 28) How many decimal places are in 0.4 and 0.7 together? (1 + 1 = 2 places) Put the point 2 places from the right in 28. What do you get? (0.28)

   My first step is ___ , because the problem asks for ___ .

   Show your work
2. 2

   Warm restartWhat is 3.2 + 4.5?

   1. A7.5
   2. B7.7
   3. C8.7
   4. D77
3. 3

   Warm restartWhat is 14.6 + 3.85?

   1. A17.45
   2. B18.35
   3. C18.45
   4. D18.55
4. 4

   Warm restartWhat is 20.3 − 7.48?

   1. A12.18
   2. B12.82
   3. C12.92
   4. D13.82

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it through3.5 × $6.80 = ?

   1. A$2.38
   2. B$21.80
   3. C$23.80
   4. D$238.00

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughRound to estimate: about how much should the deli meat cost?

   1. Aabout $2.80
   2. Babout $14
   3. Cabout $28
   4. Dabout $280

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughA student answered $238.00. What went wrong?

   1. AThey added instead of multiplying
   2. BThey rounded too early
   3. CThey used the wrong price
   4. DThey put the decimal point in the wrong place

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelHow did estimating by rounding help you sort the products? How do you decide where to place the decimal in the exact product?

   I estimated ___ x ___ by rounding to ___ x ___ = ___, which told me the product is ___ than 20.

Use the words

Fill each blank with a word from the bank.

• The answer to a multiplication problem is the ___.
• The dot that separates whole numbers from parts of a whole is the ___.
• Finding an answer that is close but not exact, to check if a product is reasonable, is to ___.
• The value a digit has based on its position is its ___.

Explain the thinking

1. 9

   Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

   The mistake: A common mistake in Multiply Decimals is counting decimal places from only one factor instead of adding the decimal places from BOTH factors.
2. 10

   Say moreWhen you multiplied 4.5 × 12.60, how did you decide where to put the decimal point in the product?

   I counted ___ decimal places in the factors.
3. 11

   Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

   If ___ changed to ___ , then ___ .

   Show your work

Last check

These two come from Lesson 2.11. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: What is 4.6 × 2.3?

   1. A1.058
   2. B10.48
   3. C10.58
   4. D105.8

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 2.11Quick check — you've got this: What is 32.6 − 14.85?

   1. A17.25
   2. B17.75
   3. C17.85
   4. D18.75
3. 14

   From Lesson 2.11Did she beat her personal record of 7.5 minutes?

   1. ANo, because 7.43 > 7.5
   2. BYes, because 7.43 < 7.5
   3. CNo, because 7.43 and 7.5 are equal
   4. DYou cannot compare them

Be honest — this tells your teacher what to do next