Name TOPIC
4
Set A pages 129–132, 133–136
Use the patterns in this table to find Remember you can use
8.56 × 10 and 0.36 × 100. rounding or compatible Reteaching
numbers to estimate.
Move the decimal
Multiply by
point to the right Find each product.
10 1 place
1. 10 × 4.5 2. 10 3 × 3.67
100 2 places
1,000 3 places 3. 100 × 4.5 4. 0.008 × 10 2
8.56 × 10 = 85.6 = 85.6 Estimate each product.
0.36 × 100 = 36.0 = 36
5. 0.38 × 99 6. 8 × 56.7
7. 11 × 4.89 8. 24 × 3.9
Set B pages 137–140, 141–144
Find 3 × 0.15. Remember to estimate by rounding
or using compatible numbers to check
Model the multiplication as repeated the reasonableness of the answer.
addition with place-value blocks.
Find each product. Use place-value blocks
as necessary.
1 1 5
1. 50 × 3.67 2. 5.86 × 5
So, 3 × 0.15 = 0.45.
3. 14 × 9.67 4. 8 × 56.7
5. 11 × 0.06 6. 2.03 × 6
7. 25 × 1.63 8. 5.62 × 75
Topic 4 Reteaching 167
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Set C pages 145–148, 149–152
Find 0.2 × 1.7. Find each product.
Model using hundredths grids. 1. 1.3 × 0.4 2. 5.8 × 5.2
1.7
0.2
3. 8.3 × 10.7 4. 3.4 × 0.7
The product is where the shading overlaps.
So, 0.2 × 1.7 = 0.34.
5. 2.4 × 3.6 6. 9.7 × 11.2
7. 1.5 × 0.6 8. 67.5 × 9.2
Set D pages 153–156
Use properties to find 0.8 × 0.4. Remember if two factors less than one
are multiplied, their product is less than
Rewrite each decimal as a product of a either factor.
whole number and a decimal. Next, use the
Associative and Commutative Properties to Use properties to find each product.
rearrange the factors.
1. 0.6 × 0.3 2. 2.5 × 0.7
0.8 × 0.4 =
= (8 × 0.1) × (4 × 0.1)
= (8 × 4) × (0.1 × 0.1)
= 32 × 0.01 3. 0.04 × 1.9 4. 0.23 × 0.8
= 0.32
So, 0.8 × 0.4 = 0.32.
5. 0.1 × 8.2 6. 5.7 × 3.6
7. 4.2 × 6.5 8. 9.11 × 0.3
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Name TOPIC
4
Set E pages 157–160
The decimal is missing in the product below. Remember that it may be
Use number sense to place the decimal helpful to compare each Reteaching
Continued
point correctly. factor to 1 in order to
determine the relative size of the product.
43.5 × 1.7 = 7395
The decimal point is missing in each
Since 1.7 is greater than 1, 43.5 product. Use number sense to place the
the product will be greater × 1.7
_ decimal point correctly.
than 43.5. Since 43.5 is about 73.95
40 and 1.7 is about 2, the 1. 4 × 0.21 = 84
answer will be about 80.
The decimal point should be
between the 3 and the 9.
2. 4.5 × 6.2 = 279
So, 43.5 × 1.7 = 73.95.
Find the 3. 7 × 21.6 = 1512
product of 4. 6.4 × 3.2 = 2048
each problem! 5. 31.5 × 0.01 = 315
6. 1.4 × 52.3 = 7322
7. 0.12 × 0.9 = 108
8. 12.5 × 163.2 = 2040
Topic 4 Reteaching 169
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Set F pages 161–164
Think about these questions to help you Remember that you can write an equation
model with math. to show how the quantities in a problem are
related.
Mr. Jennings made the stained glass window
below with the dimensions shown. What is
the total area of the window?
Thinking Habits
• How can I use math I know 1.5 ft by 0.75 ft
to help solve this problem? 1.8 ft by 1.25 ft
1.5 ft by 0.5 ft
• How can I use pictures,
objects, or an equation to
represent the problem? 1. What do you need to find first?
• How can I use numbers,
words, and symbols to
solve the problem?
2. Write an equation to model the problem.
Then solve the problem.
Patti went to the bakery. She bought a loaf
of bread for $3.49, 6 muffins that cost $1.25
each, and a bottle of juice for $1.79. She gave
the cashier a $20 bill. How much change
should Patti receive?
3. What do you need to find first?
4. Answer the question. Write equations to
show your work.
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