```Name ANSWERS 6__ Ch.2 (Lessons 1-7) SWYK
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50
Nov__
1. Write each number in standard form.
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2
a) 60 000 000 + 7 000 000 + 400 000 + 3000 + 20 + 2 67 403 022
b) 3 billion 48 million 7 thousand 124 3 048 007 124
2. Write each number in expanded form.
a) 3 086 021 – 3 000 000 + 80 000 + 6 000 + 20 + 1
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2
b) 4 006 180 501 - 4 000 000 000 + 6 000 000 + 100 000 + 80 000 + 500 + 1
3. Use these numbers: 83, 77, 47, 56, 81, 126, 63, 108, 29
Which numbers are:
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8
a) multiples of 7?
77, 56, 126, 63
c) prime numbers?
83, 47, 29
b) multiples of 9?
81, 126, 63, 108
d) composite numbers?
77, 56, 81, 126, 63, 108
4. Find the first 3 common multiples of each set of numbers. (REMEMBER: Once you
find the first common multiple, just double it, and triple it. )
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8
a) 4, 5, and 10
4’s: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
b) 3, 6, and 8
3’s: 3, 6, 9, 12, 15, 18, 21, 24
5’s: 5, 10, 15, 20, 25, 30, 35, 40
6’s: 6, 12, 18, 24
10’s: 10, 20, 30, 40
8’s: 8, 16, 24
First 3 Common Multiples are:
First 3 Common Multiples are:
20, 40, 60
24, 48, 72
Ch.2 SWYK (continued)
Gr. 6A/B
5. List all the factors of each number. Circle the factors that are prime numbers.
Remember: “1” is not a prime number.
a) 24 = 1 x 24
2 X 12
3X8
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4X6
9
b) 64 = 1 X 64
2 X 32
4 X 16
8X8
c) 40 = 1 X 40
2 X 20
4 X 10
5X8
6. Draw a Venn diagram to show the factors and common factors of: 16 and 28.
16 = 1 X 16
2X8
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4X4
28 = 1 X 28
2 X 14
4X7
8
1
7
2
16
14
4
5
28
7. Draw a factor tree for each number.
a)
30
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6
5
5
X
X
b)
48
6
2
X
8
3
4
2
X
X
X
2
6
X 3
X
2
2 X 2 X 3 X 2
11. The warehouse workers packed 75 boxes of dictionaries. Each box held 12 dictionaries.
They also packed 83 boxes of spelling books. Each box held 9 books. How many
books did the workers pack altogether? Show your work. Write a full sentence!
75
83
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X12
X 9
900
150
747
+
747
5
+ 750
1647
900
The workers packed 1 647 books altogether.
12. Each van holds 8 people.
How many vans are needed to take 107 students, 17 teachers, and
12 parent volunteers to the track-and-field meet? Show your work. Write a full sentence.
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107
17
+ 17
8) 136
5
12
-8
136
56
- 56
0
They will need 17 vans to carry the 136 people.
```