Name: _______________________________________________ Number:______
Number and
Operations in
Base Ten
Key
Name: _KEY___________________________________________ Number:______
Number and Operations in Base Ten
Algebraic
Thinking
HW
1.1
Multiplying and Dividing by Powers of Ten
8 x (6 + 3) = 72
9 x (5 – 3) ÷ 2 = 9
12 ÷ (13 - 7) = 2
3 x (2 + 4) – (9 - 3) = 12
Write the numbers in the table: 24,438.
Thousands
Hundreds
Tens
Ones
2
4
Hundreds
4
3
Ones
Tens
Ones
8
Complete each sentence.
In the number 24,438, the number 4 in the thousands place is 10 times as
much as the 4 in the hundreds place.
In the number 24,438, the number 4 in the hundreds place is 1/10 the
value of the 4 in the thousands place.
Problem Solving
Andrea wrote the number 897,747. How does the value of the 7 in the
thousands place compare to the value of 7 in the hundreds place?
The 7 in the thousands place is 1/10 the value of the 7 in the hundreds
place.
Lauren wrote the number 922,221. How does the value of the 2 in the
tens place compare to the value of 2 in the hundreds place?
The 2 in the tens place is 10 times as much as the 2 in the hundreds place.
Name: _KEY___________________________________________ Number:______
HW
1.2
Problem Solving
Number and Operations in Base Ten
Algebraic
Thinking
Multiplying and Dividing by Powers of Ten
(12 x 4) ÷ 2 + 7 = 31
[10 + (11 - 5)] x 2 = 32
63 ÷ (9 - 2) = 9
10 x (2 + 7) = 90
Multiply or divide.
93 x 103
103 = 10 x 10 x 10 = 1000
93 x 1000 = 93,000
3.5 ÷ 102
102 = 10 x 10 = 100
3.5 ÷ 100 = 0.035
9 ÷ 103
103 = 10 x 10 x 10 = 1000
9 ÷ 1000 = 0.009
74 x 102
102 = 10 x 10 = 100
74 x 100 = 7,400
13 x 102 = 1300
34 ÷ 103 = 0.034
5.21 x 104 = 52,100
5.8 ÷ 102 = 0.058
Breanna multiplied 94 by a power of ten. She got 94,000. By what power
of ten did Breanna multiply 94?
103
David multiplied 73 by a power of ten. He got 7,300. By what power of ten
did David multiply 73?
102
Name: _KEY___________________________________________ Number:______
Algebraic
Thinking
HW
2.1
Using Place Value to Read and Write Decimals
(15 - 7) x 2 - 9 = 7
[13 - (9 + 1)] x 6 = 18
72 ÷ (12 - 4) = 9
5 x (15 - 4) = 55
Problem Solving
Number and Operations in Base Ten
Write the number name and the expanded form for each decimal.
28.345
Number name: twenty-eight and three hundred forty-five thousandths.
Expanded form: (2 x 10) + (8 x 1) + (3 x ) + (4 x ) + (5 x
).
42.91
Number name: forty-two and ninety-one hundredths.
Expanded form: (4 x 10) + (2 x 1) + (9 x ) + (1 x ).
0.528
Number name: five hundred twenty-eight thousandths.
Expanded form: (5 x ) + (2 x ) + (8 x
).
7.2
Number name: seven and two tenths.
Expanded form: (7 x 1) + (2 x ).
Elena’s grandma’s house is 2,321.879 miles away. What is this decimal in
expanded form?
(2 x 1000) + (3 x 100) + (2 x 10) + (1 x 1) + (8 x
) + (7 x
) + (9 x
).
Name: _KEY___________________________________________ Number:______
HW
2.2
Algebraic
Thinking
Using Place Value to Read and Write Decimals
(4 x 3) + (6 x 6) = 48
(8 - 2) x 5 = 30
8 x (96 ÷ 12) = 64
56 ÷ (4 x 2) = 7
Write each decimal.
Number and Operations in Base Ten
Twelve hundredths 0.12
One and ninety-three thousandths 1.093
Eighty-seven and three tenths 87.3
Three hundred and sixty-four hundredths 300.64
(5 x 10) + (3 x 1) + (9 x
) + (2 x
(3 x 1) + (1 x
) + (4 x
) + (8 x
(9 x 100) (4 x 10) + (5 x 1) + (3 x
Problem Solving
(7 x 10) + (6 x 1) + (1 x
) + (5 x
) 53.925
) 3.184
) + (2 x
) 945.32
) 76.1
Joe’s odometer reads 9,468.91 miles on his car. What is this decimal in
expanded form?
(9 x 1000) + (4 x 100) + (6 x 10) + (8 x 1) + (9 x
) + (1 x
).
Name: _KEY___________________________________________ Number:______
Problem Solving
Number and Operations in Base
Ten
Algebraic
Thinking
HW
3.1
Comparing Decimals
11 x (4 + 5) = 99
(6 x 6) ÷ 3 + 15 = 27
(14 ÷ 2) x 5 = 35
[8 + (13 - 5)] ÷ 4 = 4
Compare. Write >, <, or =.
⃝
29.34 ⃝
< 29.57
123.873 ⃝
= 123.873
9.3 ⃝
> 9.1
84.572 ⃝
> 84.571
15.993 > 15.874
⃝
19.459 ⃝
= 19.459
6643.0 ⃝
= 6643.0
8.777 ⃝
> 8.
15.993 ⃝
> 15.874
0.067 < 0.137
Belle and David both opened savings accounts at the same time. So far,
Belle has saved $200.25 and David has saved $200.15. What has saved the
greater amount so far?
Belle has saved the greater amount so far.
Name: _KEY___________________________________________ Number:______
Algebraic
Thinking
HW
3.2
Comparing Decimals
9 x (2 - 1) = 9
(6 x 2) ÷ 1 + 7 = 19
(24 ÷ 8) x 9 = 27
[5 + (2 x 4)] - 3 = 10
Number and Operations in Base Ten
Put the decimals in order from least to greatest.
0.47, 0.5, 0.53, .489, 0.57
0.47, .489, 0.5, 0.53, 0.57
0.36, 0.495, 0.36, 0.947, .24
.24, 0.36, 0.36, 0.495, 0.947
0.548, 0.89, .539, 0.26, 0.397
0.26, 0.397, .539, 0.548, 0.89
.93, 0.502, 0.028, 0.32, 0.834
0.028, 0.32, 0.502, 0.834, .93
0.368, 0.018, 0.193, .072, 1.075
0.018, .072, 0.193, 0.368, 1.075
1.45, 1.5, 1.08, 1.384, 2
1.08, 1.384, 1.45, 1.5, 2
What happens to the value of a number if it is moved one place value to
the right?
Problem Solving
The value decreases.
Ava measured the growth of her plants in her science experiment. Her
first plant was 4.629 cm tall. Her second plant was 4.891 cm tall. Which of
one of her plants grew the tallest?
Ava’s second plant is the tallest.
Name: _KEY___________________________________________ Number:______
HW
4.1
Problem Solving
Number and Operations in Base Ten
Algebraic
Thinking
Rounding Decimals Using Place Value
(9 - 6) x 4 - 2 = 10
[15 - (8 + 2)] x 9 = 45
108 ÷ (15 - 3) = 9
4 x (8 - 2) = 24
Round to the nearest hundredth:
6.934
9.825
6.39
9.83
6.521
1.098
6.52
1.10
2.14
3.56
2.1
3.6
4.1
0.643
4
1
Round to the nearest tenth:
6.55
7.884
6.6
7.9
Round to the nearest whole number:
5.687
2.394
6
2
Jessica has $924.84 saved. What is $924.84 rounded to the nearest tens
place?
$920.00
Adam runs at the average speed of 180.937 miles per hour. What is his
average speed to the nearest hundredth place?
180.94
Name: _KEY___________________________________________ Number:______
HW
4.2
Problem Solving
Number and Operations in Base Ten
Algebraic
Thinking
Rounding Decimals Using Place Value
(2 x 5) x 9 - 2 = 88
[45 - (4 x 6)] + 7 = 28
132 ÷ (12 - 1) = 12
7 x (3 - 3) = 0
Round to the nearest hundredth:
8.335
6.258
6.34
9.26
5.302
1.742
5.30
1.74
5.283
9.82
5.3
9.8
4.7
3.21
5
3
Round to the nearest tenth:
4.13
9.323
4.1
9.3
Round to the nearest whole number:
9.89
4.25
10
4
Nancy gave $450.32 to her mom to put in her bank account. What is
$450.32 rounded to the nearest hundreds place?
$500.00
Bob goes hiking once a month. This month, Bob hiked 27.395 miles. What
is 27.395 rounded to the nearest hundredths place?
27.40
Name: _KEY___________________________________________ Number:______
HW
5.1
Algebraic
Thinking
Multiplying Whole Numbers
4 x (8 + 1) = 36
8 x (8 – 2) ÷ 2 = 24
36 ÷ (12 - 6) = 6
3 x (4 + 5) – (3 - 1) = 25
Number and Operations in Base Ten
Multiply.
59,008
X
6
354,048
3,521
X
4
14,084
833
X
24
19,992
5,397
X
32
172,704
Complete the sentence.
Problem Solving
The product of 327 and 49 is 16,023.
Each car at the car dealership costs $22,598. If the dealership sells 8 cars,
how much money would the dealership make?
$180,784
Name: _KEY___________________________________________ Number:______
HW
5.2
Algebraic
Thinking
Multiplying Whole Numbers
(9 x 2) + (5 x 3) = 33
(8 - 4) x 7 = 28
2 x (63 ÷ 9) = 14
42 ÷ (3 x 2) = 7
Number and Operations in Base Ten
Multiply.
67,349
X
3
202,047
8,389
X
37
310,393
251
X
54
13,554
4,746
X
8
37,968
Complete the sentence.
Problem Solving
The product of 13,845 and 9 is 124,605.
A box of chocolate has 14 pieces inside. If there are 3,485 boxes of
chocolate, how many pieces of chocolate are there?
48,790
Name: _KEY___________________________________________ Number:______
HW
6.1
Algebraic
Thinking
Dividing Whole Numbers
(6 x 8) + (2 x 4) = 56
(7 - 3) x 7 = 28
6 x (64 ÷ 8) = 48
35 ÷ (5 x 1) = 7
Number and Operations in Base Ten
Divide.
4
26 104
55
24 1,320
62
75 4,650
92
48 4,416
Complete the sentence.
Problem Solving
574 X 31 = 17,794 is the opposite of 17,794 ÷ 574 = 31.
Michael has 5,022 stickers in his collection. He put 27 stickers on each
page of his sticker album. How many pages did he use?
5,022
Name: _KEY___________________________________________ Number:______
HW
6.2
Algebraic
Thinking
Dividing Whole Numbers
(8 x 3) ÷ 4 = 6
13 + (9 - 3) = 19
(25 ÷ 5) + (55 ÷ 5) = 16
(4 x 6) x (9 x 3) = 648
Number and Operations in Base Ten
Divide.
17
89 1,513
9
36 324
82
19 1,558
48
29 1,392
Complete the sentence.
Problem Solving
99 X 54 = 5,346 is the opposite of 5,346 ÷ 99 = 54.
Aiden has 1,978 dinosaurs. He groups them in groups of 86. How many
groups will he have?
1,978
Name: _KEY___________________________________________ Number:______
HW
7.1
Problem Solving
Number and Operations in Base Ten
Algebraic
Thinking
Adding and Subtracting Decimals
(66 ÷ 11) - 4 = 2
8 x (24 ÷ 2) = 96
(10 ÷ 2) x (5 x 1) = 25
7 + (5 x 10) = 57
Add or subtract.
25.89
+ 12.74
38.63
89.26
+ 10.98
100.24
74.12
+ 26.8_
100.92
64.87
- 5.43
59.44
98.31
- 71.34
27.31
42.17
- 16.53
25.64
Lily drove 24.61 miles to get to work and 14.93 miles to get to the store
after work. How many miles did Lily drive total?
24.61 + 14.93 =39.54
Name: _KEY___________________________________________ Number:______
HW
7.2
Problem Solving
Number and Operations in Base Ten
Algebraic
Thinking
Adding and Subtracting Decimals
(9 – 7) + (3 – 1) = 4
6 x (9 – 3) = 36
(29 x 0) + 5 = 5
5 x (30 ÷ 10) = 15
Add or subtract.
75.68
+ 9.71
85.39
98.47
+ 63.74
162.21
83.61
+ 52.87_
136.48
63.50
- 42.19
21.31
31.90
- 4.36
27.54
86.41
- 83.17
3.24
Ethan has $46.92. He bought a toy for $19.38. How much money does he
have left after he bought his toy?
$46.92 - $19.38 = $27.54
Name: _KEY___________________________________________ Number:______
HW
8.1
Algebraic
Thinking
Multiplying Decimals
(15 x 2) ÷ 10 = 3
(12 ÷ 2) x (4 x 6) = 144
[2 + (5 – 3)] x 4 = 16
19 + (1 x 10) = 29
Problem Solving
Number and Operations in Base Ten
Multiply.
X
2.34
X
6
14.04
11.92
X
34
405.28
9.13
X
50
456.50
2.6
0.25
0.65
92.5
0.6
55.5
64.17
X
1.6
102.672
X
Alivia bought 6.3 pounds of apples for $0.60 each pound. How much
money did Alivia spend on apples?
6.3 x 0.60 = 3.78. Alivia spent $3.78 on apples.
Name: _KEY___________________________________________ Number:______
HW
8.2
Algebraic
Thinking
Multiplying Decimals
(8 x 3) ÷ 6 = 4
(36 ÷ 9) x (3 x 2) = 24
[7 + (2 x 2)] x 4 = 44
39 + (6 x 12) = 111
Problem Solving
Number and Operations in Base Ten
Multiply.
5.76
X
8
46.08
19.57
X
28
547.96
8.19
X
68
556.92
5.4
0.3
1.62
89.2
0.15
13.38
74.39
X
1.3
96.707
X
X
Kayla weighs 93.4 pounds. Her mom weighs 1.3 times as much as Kayla
weighs. How many pounds does Kayla’s mom weigh?
93.4 x 1.3 = 121.42. Kayla’s mom weighs 121.42 pounds.
Name: _KEY___________________________________________ Number:______
HW
9.1
Algebraic
Thinking
Dividing Decimals
(9 x 3) + 54 = 81
6 x (36 ÷ 2) = 108
(10 + 2) x (3 x 4) = 144
3 + (8 x 3) = 27
Problem Solving
Number and Operations in Base Ten
Divide.
3.85
5 19.25
8.3
9.4 78.02
899
0.25 224.75
24.1
1.8 43.38
Over a 3 day period, Jessica’s plant grew 2.34 centimeters. What was the
average height Jessica’s plant grew each day?
2.34 ÷ 3 = 0.78.
Name: _KEY___________________________________________ Number:______
HW
9.2
Algebraic
Thinking
Dividing Decimals
(54 - 19) + 96 = 131
8 x (24 ÷ 12) = 16
(9 x 9) + (8 x 7) = 137
16 + (6 x 7) = 58
Problem Solving
Number and Operations in Base Ten
Divide.
2.16
8 17.28
7.2
9.6 69.12
750
0.25 187.50
23.55
1.5 23.55
Trevor drove 629 miles in 8.5 hours. How many miles per hour did he
drive?
629 ÷ 8.5 = 74.