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Worksheets

Chapter 10 Test Review

Total questions: 78

Worksheet time: 1hrs 18mins

Name
Class
Date
1.

Tell whether the number is written in scientific notation.

1.8 × 1091.8\ \times\ 10^9  

a)

Yes

b)

No

2.

Tell whether the number is written in scientific notation.

10.5 × 101210.5\ \times\ 10^{12}  

a)

Yes

b)

No

3.

Tell whether the number is written in scientific notation.

7.814 × 10367.814\ \times\ 10^{-36}  

a)

Yes

b)

No

4.

Tell whether the number is written in scientific notation.

3.45 × 10143.45\ \times\ 10^{14}  

a)

Yes

b)

No

5.

Tell whether the number is written in scientific notation.

45 × 101745\ \times\ 10^{-17}  

a)

Yes

b)

No

6.

Tell whether the number is written in scientific notation.

0.999 × 10260.999\ \times\ 10^{26}  

a)

Yes

b)

No

7.

Tell whether the number is written in scientific notation.

0.26 × 10250.26\ \times\ 10^{-25}  

a)

Yes

b)

No

8.

Tell whether the number is written in scientific notation.

6 × 106\ \times\ 10^{ }  

a)

Yes

b)

No

9.

Write the number in standard form.

7 × 1077\ \times\ 10^7  

(a)  

10.

Write the number in standard form.

2.7 × 1042.7\ \times\ 10^{-4}  

(a)  

11.

Write the number in standard form.

1.66 × 1091.66\ \times\ 10^9  

(a)  

12.

Write the number in standard form.

8 × 1038\ \times\ 10^{-3}  

(a)  

13.

Write the number in standard form.

4.4 × 1054.4\ \times\ 10^{-5}  

(a)  

14.

Write the number in standard form.

3.85 × 1083.85\ \times\ 10^{-8}  

(a)  

15.

Write the number in standard form.

5.12×1025.12\times10^2  

(a)  

16.

Write the number in standard form.

3×103\times10  

(a)  

17.

Surface temperatures of five stars are shown. Which star has the highest surface temperature?

6.2 ×1036.2\ \times10^3  

3.8×1043.8\times10^4  

1.1×1041.1\times10^4  

7.2×1037.2\times10^3  

2.2×1042.2\times10^4  

a)

6.2 × 1036.2\ \times\ 10^3  

b)

3.8×1043.8\times10^4  

c)

1.1 ×1041.1\ \times10^4  

d)

7.2 ×1037.2\ \times10^3  

18.

Surface temperatures of five stars are shown. Which star has the lowest surface temperature?

6.2 ×1036.2\ \times10^3  

3.8×1043.8\times10^4  

1.1×1041.1\times10^4  

7.2×1037.2\times10^3  

2.2×1042.2\times10^4  

a)

6.2 × 1036.2\ \times\ 10^3  

b)

3.8×1043.8\times10^4  

c)

1.1 ×1041.1\ \times10^4  

d)

7.2 ×1037.2\ \times10^3  

19.

Write the number in scientific notation.

0.00000268

(a)  

20.

Write the number in scientific notation.

50,000

(a)  

21.

Write the number in scientific notation.

0.005

(a)  

22.

Write the number in scientific notation.

25,000,000

(a)  

23.

Write the number in scientific notation.

683

(a)  

24.

Write the number in scientific notation.

0.000506

(a)  

25.

Which number is the lowest?

1.2 × 1081.2\ \times\ 10^8  

1.19 × 1081.19\ \times\ 10^8  

1.12×1081.12\times10^8  

a)

1.2 × 1081.2\ \times\ 10^8  

b)

1.19 × 1081.19\ \times\ 10^8  

c)

1.12 × 1081.12\ \times\ 10^8  

26.

Which number is the highest?

9.9 × 10159.9\ \times\ 10^{-15}  

1.01 × 10141.01\ \times\ 10^{-14}  

7.6×10157.6\times10^{-15}  

a)

9.9 × 10159.9\ \times\ 10^{-15}  

b)

1.01 × 10141.01\ \times\ 10^{-14}  

c)

7.6 × 10157.6\ \times\ 10^{-15}  

27.

Which number is the lowest?

9.9 × 10159.9\ \times\ 10^{-15}  

1.01 × 10141.01\ \times\ 10^{-14}  

7.6×10157.6\times10^{-15}  

a)

9.9 × 10159.9\ \times\ 10^{-15}  

b)

1.01 × 10141.01\ \times\ 10^{-14}  

c)

7.6 × 10157.6\ \times\ 10^{-15}  

28.

Write the number in scientific notation.

0.00000033

(a)  

29.

Write the product using exponents.

666666\cdot6\cdot6\cdot6\cdot6

(a)  

30.

Write the product using exponents.

(2)(2)(2)\left(-2\right)\cdot\left(-2\right)\cdot\left(-2\right)  

(a)  

31.

Write the product using exponents.

23232323\frac{2}{3}\cdot\frac{2}{3}\cdot\frac{2}{3}\cdot\frac{2}{3}  

(a)  

32.

Write the product using exponents.

(1.2)(1.2)(1.2)\left(-1.2\right)\cdot\left(-1.2\right)\cdot\left(-1.2\right)  

(a)  

33.

Write the product using exponents.

1515xxx\frac{1}{5}\cdot\frac{1}{5}\cdot x\cdot x\cdot x  

(a)  

34.

Write the product using exponents.

1010(n)(n)(n) (n)10\cdot10\cdot\left(-n\right)\cdot\left(-n\right)\cdot\left(-n\right)\cdot\ \left(-n\right)  

(a)  

35.

Write the product using exponents.

(5)(5)(5)(5)yyyyy\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\cdot y\cdot y\cdot y\cdot y\cdot y  

(a)  

36.

Evaluate the expression.

92

(a)  

37.

Evaluate the expression.

(3)4\left(-3\right)^4  

(a)  

38.

Evaluate the expression.

32-3^2  

(a)  

39.

Evaluate the expression.

(14)3\left(\frac{1}{4}\right)^3  

(a)  

40.

Evaluate the expression.

7+(2)327+\left(-2\right)\cdot3^2  

(a)  

41.

Evaluate the expression.

(152542)÷5\left(15^2-5\cdot4^2\right)\div5  

(a)  

42.

Evaluate the expression.

280(3)(5)3280-\left(-3\right)\cdot\left(-5\right)^3  

(a)  

43.

Evaluate the expression.

(2023382)÷16\left(20^2-3^3\cdot8^2\right)\div16  

(a)  

44.

Simplify the expression. Write your answer as a power.

23222^3\cdot2^2  

(a)  

45.

Simplify the expression. Write your answer as a power.

96989^6\cdot9^8  

(a)  

46.

Simplify the expression. Write your answer as a power.

(7)3(7)5\left(-7\right)^3\cdot\left(-7\right)^5  

(a)  

47.

Simplify the expression. Write your answer as a power.

(58)10(58)2\left(\frac{5}{8}\right)^{10}\cdot\left(\frac{5}{8}\right)^2  

(a)  

48.

Simplify the expression. Write your answer as a power.

cc5c\cdot c^5  

(a)  

49.

Simplify the expression. Write your answer as a power.

q4q4q^4\cdot q^4  

(a)  

50.

Simplify the expression. Write your answer as a power.

(32)3\left(3^2\right)^3  

(a)  

51.

Simplify the expression. Write your answer as a power.

(k5)10\left(k^5\right)^{10}  

(a)  

52.

Simplify the expression. Write your answer as a power.

((9.2)3)6\left(\left(9.2\right)^3\right)^6  

(a)  

53.

Simplify the expression.

(4n)2\left(4n\right)^2  

(a)  

54.

Simplify the expression.

(2w)5\left(-2w\right)^5  

(a)  

55.

Simplify the expression.

(13p)4\left(\frac{1}{3}p\right)^4  

(a)  

56.

Simplify the expression.

(ab)18\left(ab\right)^{18}  

(a)  

57.

Simplify the expression. Write your answer as a power.

3836\frac{3^8}{3^6}  

(a)  

58.

Simplify the expression. Write your answer as a power.

1011103\frac{10^{11}}{10^3}  

(a)  

59.

Simplify the expression. Write your answer as a power.

(4)5(4)4\frac{\left(-4\right)^5}{\left(-4\right)^4}  

(a)  

60.

Simplify the expression. Write your answer as a power.

p13p11\frac{p^{13}}{p^{11}}  

(a)  

61.

Simplify the expression. Write your answer as a power.

636764\frac{6^3\cdot6^7}{6^4}  

(a)  

62.

Simplify the expression. Write your answer as a power.

3435332\frac{3^4\cdot3^5}{3\cdot3^2}  

(a)  

63.

Simplify the expression. Write your answer as a power.

m14m10m5m2\frac{m^{14}}{m^{10}}\cdot\frac{m^5}{m^2}  

(a)  

64.

Simplify the expression.

54n452\frac{5^4\cdot n^4}{5^2}  

(a)  

65.

Simplify the expression.

x5z4x2z2\frac{x^5\cdot z^4}{x^2\cdot z^2}  

(a)  

66.

Evaluate the expression.

  343^{-4}  

(a)  

67.

Evaluate the expression.

 320

(a)  

68.

Evaluate the expression.

  x5x^{-5}  

(a)  

69.

Evaluate the expression.

  y0y^0  

(a)  

70.

Evaluate the expression.

  8385\frac{8^3}{8^5}  

(a)  

71.

Evaluate the expression.

  5125125^{-12}\cdot5^{12}  

(a)  

72.

Evaluate the expression.

  61626^{-1}\cdot6^{-2}  

(a)  

73.

Simplify. Write the expression using only positive exponents.

14u47u8\frac{14u^{-4}}{7u^8}  

(a)  

74.

Simplify. Write the expression using only positive exponents.

6a39a6\frac{6a^3}{9a^6}  

(a)  

75.

Simplify. Write the expression using only positive exponents.

y5z3y^5\cdot z^{-3}  

(a)  

76.

Simplify. Write the expression using only positive exponents.

5b3b25b^{-3}b^2  

(a)  

77.

Simplify. Write the expression using only positive exponents.

32a43^{-2}\cdot a^4  

(a)  

78.

Evaluate the expression.

54-5^4  

(a)