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Unit 2 Study Guide
1.
Write in expanded notation
2. Write in written notation
3,452.34
2,604.26
3,000 + 400 + 50 + 2 + .3 + .04
Two thousand, six hundred four and twenty
six hundredths
3. Write in standard notation
Forty-thousand, three hundred fifty-six, and
nine hundredths
40,356.09
4. Put a:
6 in the millions place
3 in the thousands place
2 in the tenths place
9 in the ten-thousands place
4 in the hundredths place
8 in the tens place
Zeros everywhere else
6,093,080.24
5.
Order the following numbers from
smallest to largest.
23,456
23,546
22,610
24,432
7.
22,610
23,456
23,546
24,432
Order the following numbers from
smallest to largest.
129.05
127.5
129.35
126.6
126.6
127.5
129.05
129.35
6.
Order the following numbers from
smallest to largest.
32.61
31.45
31.4
32.05
31.4
31.45
32.05
32.61
8. Compare the following numbers using
> , <, or =
1,234,683
<
1,324,892
58, 908
>
58, 890
3,709,697
<
3, 709,942
Page 2
Unit 2 Study Guide
9.
Compare the following numbers using
> , < , or =
2.456
<
2.50
76. 23 > 74.230
123.6 = 123.600
11. Write the following numbers in exponential
notation.
23,000,000 =
23 x 106 or 2.3 x 𝟏𝟎𝟕
4,300 =
43 x 102
9,100,000 =
91 x 105 or 9.1 x 𝟏𝟎𝟔
13. Solve.
10. Write the following numbers in standard
notation.
15 104 = 150,000
4.5X 103 = 4,500
8.36 X 105 = 836,000
12. The number is 345,207.
Write the number that is:
100 more
345,307
1,000 more
346,207
100 less
345,107
10 less
345,197
14. Circle the number that is the base. Underline
the number that is the exponent.
300 X 400 =
120,000
50 X 600 =
30,000
800 X 40 =
32,000
84
100 X 1,000 = 100,000
15. Round to the nearest hundred.
16. Round to the nearest thousand.
4,682
4,700
49,708
50,000
23,908
23,900
6,890
7,000
8,696
8,700
82,403
82,000
Page 3
Unit 2 Study Guide
17. Round to the nearest tenth.
18. Round to the nearest hundredth.
34.36
34.4
7.408
7.41
2.456
2.5
46.071
46.07
17.067
17.1
123.366
123.37
19. Round to the nearest whole number.
23.47
23
6.328
6
146.9
147
21. Write a magnitude estimate for the following
numbers.
2.467
2
123.52
100
0.735
20. Write a magnitude estimate for the following
numbers.
1,689
2,000
430,567
400,000
98,203
100,000
22. Solve. Show your work.
346.23
+ 247.98
594.21
350
+250
600
1
23. Solve. Show your work.
708.91
- 49.23
659.68
24. Solve. Show your work.
700
- 50
650
34
X 27
918
30 x 30 =900
Page 4
Unit 2 Study Guide
25. Solve. Show your work.
26. Solve. Show your work.
5.23
X .7
3.661
5 x 1 =6
27. Use a factor rainbow to find all the factors of 32.
2.45
X .23
0.5635
2x0=0
28. Name the first five prime numbers.
2, 3, 5, 7, 11
1 2, 4, 8, 16, 32
29. Is 23 a prime number or a composite number?
Explain how you know.
Prime. Its only factors are 1 and 23.
31. Use a factor tree to find the prime factorization
for 48.
30. Is 21 a prime number or a composite number?
Explain how you know.
Composite. It has factors other than 1 and itself.
(3 and 7)
32. Write the prime factorization for 48 using
exponential notation.
48
2
x
24 x 3 = 48
24
2 x 12
2 x 6
2 x3
2x2x2x2x3
Page 5
Unit 2 Study Guide
33.
Solve.
34. Circle all that apply.
3042 is divisible by:
62 = 36
2
24 = 16
49 =
35.
3
4
5
6
9
7
Solve.
36. Compare the digit 7 in both numbers. Describe
the difference demonstrating your understanding of
place value.
24 + r = 30
r = 6
2,746 ----- 3,697
42 - p = 21
6m = 24
p = 21
m= 4
37. Compare the digit 3 in both numbers. Describe
the difference demonstrating your understanding of
place value.
4,563
The 7 in 2,746 is 100 times larger than
the 7 in 3,697.
38. Solve this problem modeling the distributive
property of multiplication.
52
X 8
---------- 6,738
The 3 in 4,563 is 1/10 of the value of the
3 in 6,738.
(50 X 8) + (2 x 8) =
400
+ 16
= 416
Page 6
Unit 2 – Study Guide
Fill in the blanks and solve the problem.
While on vacation, Tasha picked out souvenirs for her friends back home. She picked
out a hat for $8.26, a t-shirt for $12.79, and a sweatshirt for $17.35. How much more did
Tasha spend on the sweatshirt than on the hat?
a. What numbers are needed to solve the problem? $8.26 and $17.35
b. Describe what you want to find. The difference between the cost of the hat and
the cost of the sweatshirt.
c. Open sentence: $17.35 - $8.26 = m
d. Solution: 9.09
e. Answer: $9.09
(unit)
John had a total of 92 baseball cards. He gave 25 to his brother and 12 to his friend.
How many baseball cards does John have left?
a. What numbers are needed to solve the problem? 92, 25, and 12
b. Describe what you want to find. How many cards John has left.
c. Open sentence: 92 – (25+12) = p or 92 – 25 - 12 = p
d. Solution: 55
e. Answer:
55 baseball cards
(unit)