Download Practice 1.2

Practice 1.2
1 Copy the array of numbers. Circle all the prime numbers.
1
2
3
4
5
6
7
8
9
10
11
12
131415161718
192021222324
252627282930
Express each number as a product of its prime factors.
2 6
3 15
4 36
5 78
6 184
7 360
8 24
9 49
10 81
11 144
12 245
13 510
14 250
15 1,089
16 4,725
17 900
18 27,000
Solve.
19 Describe the steps for finding the prime factors of 42.
20 400 written as a product of its prime factors is 2 3 2 3 2 3 2 3 5 3 5.
Write 800 as a product of its prime factors.
21 Given that 320 written as a product of its prime factors is 2 3 2 3 2 3 2 3 2 3 2 3 5,
write 3,200 as a product of its prime factors.
22 2,700 written as a product of its prime factors is 2 3 2 3 3 3 3 3 3 3 5 3 5.
Write 270 as a product of its prime factors.
23 It is given that 4,800 can be expressed in terms of its prime factors as
2 3 2 3 2 3 2 3 2 3 2 3 3 3 5 3 5.
a) Write 1,200 as a product of its prime factors.
b) Now, write 120 as a product of its prime factors.
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Chapter 1 Positive Numbers and the Number Line
Practice 2.1
Write a positive or negative number to represent each situation.
1 438°C above zero
2 164°F below zero
3 8,327 feet below sea level
4 12,316 feet above sea level
5 A loss of 20 yards
6 A credit of $3,401
Copy and complete each number line by filling in the missing numbers.
7 8 ?
?
?
?
?
?
26
?
230
?
22
227
Write the opposite of each number.
9 8
10 25
11 21
12 229
13 24
14 2106
Draw a horizontal number line to represent each set of numbers.
15 Even negative numbers from 210 to 224.
16 The opposites of the whole numbers from 35 to 45.
Draw a vertical number line to represent each set of numbers.
17 Odd numbers between 291 and 2103.
18 Even numbers greater than 26 but less than 12.
Use the number line to compare each pair of numbers using . or ,.
212 211 210 29
28
27
26
25
24
23
22
21
0
1
19 29 ? 22
20 210 ? 24
21 25 ? 4
22 2 ? 26
23 25 ? 212
24 210 ? 3
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Chapter 2 Negative Numbers and the Number Line
2
3
4
5
Copy and complete each inequality using . or ,.
25 227 ? 23
26 245 ? 15
27 25 ? 225
28 19
29 14 ? 216
30 281 ?
? 215
280
Order the numbers in each set from least to greatest.
31 3, 7, 22, 29, 0, 25
32 210, 8, 34, 213, 10, 217
Order the numbers in each set from greatest to least.
33 214, 43, 220, 257, 19, 31
34 98, 2101, 276, 125, 292, 113
Answer the questions.
35 Name two numbers that are each 2 units away from 27. Give the opposites
of these two numbers.
36 Is the opposite of a number always negative? Explain.
37 Write an inequality using . or , for the following statement: 222°C is colder
than 24°C.
38 Your friend says that the statement 0 , 215 is correct. Explain why the
statement is incorrect.
39 The elevation of the deepest part of the Pacific Ocean is 236,200 feet.
The elevation of the deepest part of the Indian Ocean is 224,442 feet.
Write an inequality to compare the elevations. In which of the two
oceans is the deepest part farther from sea level?
40 The temperature at which a substance boils is called its boiling point.
The boiling points of two elements are shown in the table.
Element
Boiling Point (°C)
Oxygen
2183
Nitrogen
2196
Write an inequality to compare the two boiling points. Which element has the
greater boiling point?
Write a statement to describe each inequality.
41 245 feet . 280 feet
42 2436°F , 2271°F
Lesson 2.1 Negative Numbers
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Practice 2.2
Use the number line to find the absolute value of each of the following numbers.
212 211 210 29
28
27
26
1 |211 |
25
24
23
22
21
0
1
2 | 4 |
2
3
4
5
3 |26 |
Write the absolute value of each number.
4 | 35 |
5 |246 |
6 |277 |
Copy and complete each inequality using . or , .
7 |226 | ? | 30 |
8 |292 | ? |2114 |
9 | 511| ? |2500 |
10 |2707 | ? |2628 |
Answer the questions.
11 Two numbers have an absolute value of 16. Which of the two numbers is
greater than 12?
12 Jesse graphed a point to represent the absolute value of a
number on a number line. If the original number is less than 210, describe all
the possible values for the point Jesse graphed on the number line. Explain
your thinking.
13 The table shows a monthly bank account statement for the period from
March to July.
Month
March
April
May
June
July
Balance
2$450
2$180
$200
$10
2$240
a) For which months is the account overdrawn?
b) How much was the bank owed in March?
c)
d) In which month was the account overdrawn by the least amount?
e) How much was the bank owed in total?
In which month was the account overdrawn by the greatest amount?
Lesson 2.2 Absolute Value
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14 The table shows some locations with their elevations.
Location
Elevation (ft)
Salton City
Desert Shores
Laguna Salada
Bombay Beach
2124.7
2200.1
232.8
2226.4
a) Which location is the closest to sea level?
b) Which locations are within 200 feet of sea level?
c)
d) Write the locations in order from the location that is farthest from sea level to the location that is closest to sea level.
How much farther from sea level is Desert Shores than Salton City?
15 The table shows the average surface temperature of some planets.
Planet
Average Surface Temperature (°C)
Earth
Saturn
Uranus
Mars
14
2108
2218
253
a) Which planet has the highest average surface temperature?
b) Which planet has the lowest average surface temperature?
c)
d) Order the temperatures from lowest to highest.
On Earth, the boiling temperature of water at sea level is 100°C.
Which planet has an average surface temperature that is closest
to this temperature?
1 You can interpret a negative sign in front of a number as meaning “the
opposite of.” So, 23 means the opposite of 3.
a) What number is 2(23) the opposite of?
b) What number is 2(23) equal to?
2 On a certain day, the maximum recorded temperature was 15°C and the minimum
recorded temperature was 28°C. How many degrees Celsius was the difference
between the recorded maximum and recorded minimum temperatures?
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Chapter 2 Negative Numbers and the Number Line