Download Math 105: Test, Ch 1, 2, 3 Name Write the number 23,560,136 in

Math 105: Test, Ch 1, 2, 3
1.
Name ________________________________
Write the number 23,560,136 in words. Choose the correct answer from below.
a. Twenty-three million, one hundred thirty-six million, five hundred sixty
b. Twenty-three billion, five hundred sixty thousand, one hundred thirty-six
c. Twenty-three billion, five hundred sixty million, one hundred thirty-six
d. Twenty-three million, five hundred sixty thousand, one hundred thirty-six
Answer: __________
2. Write the number in standard form: Eight million, eight hundred ninety ____________________
3. Complete the table by estimating the given number to the given place value.
Tens
Hundreds
Thousands
52,836 _______
_______
_______
4. Multiply: 1841 x 42 = _____________________
5. Divide: 592,994 = _________ R ______ (Fill in the whole number part and the remainder part. If there is
961
no remainder, place “0” in the second box.)
6. A vacant lot in the shape of a rectangle has a length of
140 feet and a width of 40 feet.
a. What is the perimeter of the lot? _______ ft
b. What is the area of the lot?
_______ sq ft
40 ft
.
|
|
|
|
|
|
|
|
140 ft
7. Write using exponential notation: 5 x 4 x 4 x 6 x 6 x 6 = ___________
8. Simplify: 1 + 6 ÷ 3 = ____________
13
9. Simplify: 5(8 – 5) + 3 = ____________
32 – 3
__
_
10. Simplify: √36 ÷ √9 + 42 x 7 – 11 = __________
11. Simplify:
0 = __________ (Use N if the quotient is undefined)
18
12. Simplify: 5 = __________ (Use N if the quotient is undefined)
0
13. A bag contains 50 red or blue marbles. If 47 marbles are blue, a) What fraction of the marbles are blue? _______
b) How many marbles are red? _______ c) What fraction of the marbles are red? _______
14. Identify 34 as prime or composite: ___ Prime
___ Composite
15. Find the prime factorization of 684. Write any repeated factors using exponents. __________________
(over)
16. Write the given fraction in simplest form: 10 = ___
25
17. Multiply: Write the answer in simplest form:
18. Multiply: 1 1 x 22 1
5
2
5 x 2 = _____
28 35
= ____________
19. Divide: Write the answer in simplest form:
3 ÷ 11 =
13 39
_____
20. Divide: 16 4 ÷ 4 2 = ____________
5
3
21. Find the least common multiple (LCM) for the following pair of numbers: 11 and 55
__________
22. Add and simplify: 7 + 2 = _____
18 18
23. Add and simplify: 7 + 21 = _____
55 77
24. Subtract and simplify:
25. Add:
5 4
5
3
26. Subtract:
7 _ 2 = _____
10 15
3
4
3
3
8
1
3
4
27. Insert < or > to form a true statement.
28. Evaluate the given expression: 1
4
3
3 ___ 13
2
8
=
______
29. Use the order of operations to simplify the expression: 2
3
2
÷ 2 _ 1
3
9
= _____
30. Translate to an expression. Then simplify the expression: Find 72 decreased by 4. ______________ = _____
Math 105: Test, Ch 1, 2, 3
1.
Answers
Write the number 23,560,136 in words. Choose the correct answer from below.
a. Twenty-three million, one hundred thirty-six million, five hundred sixty
b. Twenty-three billion, five hundred sixty thousand, one hundred thirty-six
c. Twenty-three billion, five hundred sixty million, one hundred thirty-six
d. Twenty-three million, five hundred sixty thousand, one hundred thirty-six
2. Write the number in standard form: Eight million, eight hundred ninety
Answer: d
8,000,890
3. Complete the table by estimating the given number to the given place value.
Tens
Hundreds
Thousands
52,836 52,840
52,800
53,000
4. Multiply: 1841 x 42 = 77,322
5. Divide: 592,994 =
961
617 R 57
(Fill in the whole number part and the remainder part. If there is
no remainder, place “0” in the second box.)
6. A vacant lot in the shape of a rectangle has a length of
140 feet and a width of 40 feet.
a. What is the perimeter of the lot?
360 ft
b. What is the area of the lot?
5600 sq ft
40 ft
.
|
|
|
|
|
|
|
|
7. Write using exponential notation: 5 x 4 x 4 x 6 x 6 x 6 = 5 x 42 x 63
8. Simplify: 1 + 6 ÷ 3 = 3
13
9. Simplify: 5(8 – 5) + 3 = 3
32 – 3
__
_
10. Simplify: √36 ÷ √9 + 42 x 7 – 11 = 103
11. Simplify:
0 =
18
12. Simplify: 5 =
0
0
N
(Use N if the quotient is undefined)
(Use N if the quotient is undefined)
13. A bag contains 50 red or blue marbles. If 47 marbles are blue, a) What fraction of the marbles are blue? 47/50
b) How many marbles are red? 3 c) What fraction of the marbles are red? 3/50
14. Identify 34 as prime or composite: ___ Prime
_x__ Composite
15. Find the prime factorization of 684. Write any repeated factors using exponents.
22 x 32 x 19
16. Write the given fraction in simplest form: 10 =
25
17. Multiply: Write the answer in simplest form:
18. Multiply: 1 1 x 22 1
5
2
2
5
5 x 2 =
28 35
1
98
= 27
19. Divide: Write the answer in simplest form:
3 ÷ 11 =
13 39
9
11
20. Divide: 16 4 ÷ 4 2 = 3 3
5
3
5
21. Find the least common multiple (LCM) for the following pair of numbers: 11 and 55
22. Add and simplify: 7 + 2 =
18 18
1
2
23. Add and simplify: 7 + 21 =
55 77
2
5
24. Subtract and simplify:
25. Add:
17
30
5 4
5
3
9
26. Subtract:
7 _ 2 =
10 15
55
3
4
11
20
3
3
8
2
3
4
5
8
1
27. Insert < or > to form a true statement.
28. Evaluate the given expression: 1
4
3
3
2
=
<
13
8
1
64
29. Use the order of operations to simplify the expression: 2
3
2
÷ 2 _ 1
3
9
= 4
5
30. Translate to an expression. Then simplify the expression: Find 72 decreased by 4.
72 – 4 = 68