Reteaching

Name
TOPIC
1
Set A pages 9–14
Use a place-value chart to write 200,301,400.
Expanded form:
200,000,000 + 300,000 + 1,000 + 400
Word form: two hundred million, three
hundred one thousand, four hundred
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ds p nes per
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mill
thou
Remember that periods
can help you read large
numbers.
Reteaching
Write each number in expanded
form and word form.
1. 27,549
2. 6,792,065
2 0 0, 3 0 1, 4 0 0
Set B pages 15–20
Relate the values of the 4s in the number 441.
s
dred
hun
tens
s
one
4
4
1
The first 4 is in the hundreds place. Its value
is 400.
The second 4 is in the tens place. Its value
is 40. The value of the 4 in the hundreds
place is 10 times the value of the 4 in the
tens place.
Remember that when two digits next to each
other in a number are the same, the one
on the left is 10 times greater than the one on
the right, and the one on the right is
one-tenth the value of the one on the left.
In 1 and 2, name the values of the given digits.
1. the 8s in 5,188
2. the 7s in 7,740,000
3. In 687,332,195, how is the value of the
three in the ten thousands place related
to the value of the 3 in the hundred
thousands place?
Set C pages 21–26
Use place value to compare 45,423 and
44,897. Start comparing from the left. Look
for the first digit that is different.
45,423 44,897
5+4
So, 45,423 7 44,897.
Remember that you can use place value to
compare numbers using symbols.
Write 6 or 7 in the
1. 735,291,000
○.
○ 735,291,001
Order the numbers from greatest to least.
2. 622,981 614,762 621,046
Topic 1 Reteaching
77
Set D pages 27–32
Remember to look at the number to the right
of the rounding place. Then change the digits
to the right of the rounding place to zeros.
Round 764,802 to the nearest hundred
thousand.
hundred thousands place
764,802
800,000
Round each number to the place of the
underlined digit.
The digit to the right of the
rounding place is 6.
Since 6 7 5, round by adding
1 to the digit in the hundred
thousands place.
So, 764,802 rounds to 800,000.
1. 166,742
2. 76,532
3. 5,861
4. 432,041
5. 132,505
6. 257,931
Set E pages 33–38
Ann says that 785 is greater than 758, and
758 is greater than 685. So, 785 is greater
than 685. Write and explain whether her
reasoning is correct.
Drawing a picture is often helpful in writing
explanations. For this problem, a number
line can be included in the explanation.
650
675
700
725
750
775
800
Because 785 7 758, and 758 7 685, then
685 will be to the left of 758 and 785 on the
number line. So, 785 7 685. Therefore, Ann's
reasoning is correct.
Remember that a good explanation should
be correct, simple, complete, and easy to
understand. It is sometimes helpful to use
words that indicate order like first, then, next,
and finally.
Write to explain.
1. A number is multiplied by 2. Then that
product is multiplied by 5. Write to
explain how you know what digit is in the
ones place of the final product.
2. Explain how to round 750,890,002 to the
nearest million.
Use digital tools to
solve these and other
Reteaching problems.
78
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Name
TOPIC
1
Set F pages 39–44
Write 4 dollars, 8 dimes, and 2 pennies with
a dollar sign and a decimal point.
rs
Dolla
s)
e
n
o
(
s
Dime
s)
h
t
n
e
t
(
.
4
ies
Penn hs)
dt
undre
(h
8
2
Read: four dollars and eighty-two cents
Remember that a dime is one
tenth of a dollar, and a penny
is one hundredth of a dollar.
Reteaching
Continued
Write each amount with a
dollar sign and a decimal point.
1. 3 dollars + 4 pennies
2. 1 dollar + 5 dimes + 6 pennies
Write: $4.82
3. 9 dollars + 6 dimes
4. 4 dimes + 9 pennies
Set G pages 45–50
Write the decimal shown in expanded form,
standard form, and word form.
s
one
2
.
ths
hs
dred
tent
h un
0
1
Expanded form: 2 + 0.01
Standard form: 2.01
Word form: Two and one hundredth
Remember to use the word and for the
decimal point.
Write the following in word form
and expanded form.
1. 12.13
2. 11.1
3. What is the value of the 9 in 1.09?
Set H pages 51–56
1 as a decimal.
Write 100
1
100 is one hundredth, or 0.01.
1
100 = 0.01
Remember that you can read the decimal and
write what you say when writing a decimal
as a fraction. You can also read fractions that
have 10 or 100 as a denominator to help you
write the equivalent decimal form.
Write each fraction as a decimal.
8
1. 10
94
2. 100
Write each decimal as a fraction.
3. 0.4
4. 0.53
Topic 1 Reteaching
79
Set I pages 57–62
Show 7.7 on a number line. Divide the
distance from 7 to 8 into 10 equal lengths.
Label the tick marks, and draw a point at 7.7.
Remember that distances between tick
marks are equal.
J
KL
M N
O
5.40 5.45 5.50 5.55 5.60 5.65 5.70
7.0 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8.0
Name the decimal at each point.
7 of 10 parts or 0.7
2. M
1. K
3. O
Name the point for each decimal.
4. 5.6
5. 5.5
6. 5.42
Set J pages 63–68
Order 0.2, 0.7, and 0.1 from least to greatest.
0.2
0.7
0.1
Use the tenths place to order. The least
number is 0.1. The greatest number is 0.7. The
order from least to greatest is 0.1, 0.2, 0.7.
Remember to check if you are ordering from
least to greatest or greatest to least.
Order the numbers from least to greatest. You
can use concrete objects like place-value
blocks or visual models like hundredths grids
to help.
1. 0.6, 0.3, 0.7
2. 0.99, 0.09, 0.9
Set K pages 69–74
A biking trail is being planned for a town.
Where should the 2-mile marker be placed?
0
0.5
1.0
1. Look at the walking path below. Will
begins at the starting point and walks
0.6 mile. Where on the path would Will
end his walk?
2.0
What do I know?
The biking trail must be at
least 2 miles long. The 0.5-mile
mark is located on the drawing.
What am I asked
to find?
Where would the 2-mile mark
be located on the drawing?
0
Think: 1.0 is double 0.5, and 1.0 is half of 2.0.
Measure the distance from 0 to 0.5. Double
this distance. Mark 1.0. Now double this
distance and mark 2.0.
80
Remember that you can use a ruler to measure
the distance between each mark.
0.3
2. Kate has marked a distance of 0.5 ft on a
wall. Where would she mark a distance of
3 ft on the wall? How did you determine
the location?
0
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0.5