09/05/17, exponent and sci notation sg
TRANSCRIPT
TEST NAME:Exponent and Sci Notation SGTEST ID:1855125GRADE:08 - Eighth Grade
SUBJECT:MathematicsTEST CATEGORY:School Assessment
Exponent and Sci Notation SG Page 1 of 12
09/05/17, Exponent and Sci Notation SG
Student:
Class:
Date:
1. Which model BEST represents 625?
A.
B.
C.
Exponent and Sci Notation SG Page 2 of 12
D.
2. What is the square root of 0.16?
A. 0.0256B. 0.04C. 0.256D. 0.4
3. Which is equivalent to (6.12 × 10 )(0.0000012)?
A. 7.344
B. 7.344 × 10
C. 7.344 × 10
D. 7.344 × 10
4. Which exponent can be substituted for the letter x to make the equation true?
4 = 64
5. Which expression is equivalent to 6 ÷ 6 ?
A. 6
B. 6
C. 1
D. 1
7
1
2
13
x
8 4
4
2
4
2
Exponent and Sci Notation SG Page 3 of 12
6. A virus has a diameter of about 2.0 × 10 mm. A bacteria has a diameterof about 2.0 × 10 mm. How does the size of the bacteria compare tothe size of the virus?
A. The bacteria is about 10 times smaller.
B. The bacteria is about 10 times larger.
C. The bacteria is about 100 times smaller.
D. The bacteria is about 100 times larger.
7. A ship weighs 1.2×104 tons when it is empty. The ship’s cargo, fuel, and crew weigh a total of4.6×103 tons. What is the total weight of the ship with the cargo, fuel, and crew on board?
A. 5.8 × 10 4 tonsB. 5.8 × 10 7 tonsC. 1.66 × 10 4 tonsD. 1.246 × 10 4 tons
8. (4 ) x(7 ) =
A. ( − 28 ) B. ( − 28 ) C. ( 4 7 ) 6D. ( 4 7 )
9. What is the value of (1.48 × 10 ) ÷ (2 × 10 )?
A. 0.74
B. 0.074
C. 0.0074
D. 0.00074
10. If 8 =64, which statement is true?
A. 8 = 64B. 64 = 8C. 81 = 8 2D. 64 2 = 8
–8
–6
2 3 3 2
6
5
5
–8 –6
2
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11. What is 2.035×10 in standard form?
A. 0.002035B. 0.0002035C. 2,035D. 2,035,000
12.Which is equivalent to ?
A. 81
B. 27
C. 9
D. 1
13. What is the simplified form of the expression below?
14. Which expression is equivalent to (2 • 2 ) ?
A. 2 B. 2 C. 4 D. 4
15. Which expression is equivalent to 5 x 5 ?
A. 25
B. 5
C. 5
D. 25
−3
6 2 2
16
24
16
64
–2 5
–10
–10
3
3
Exponent and Sci Notation SG Page 5 of 12
16. What is the value of 2 ÷ 2 ?
A.
B.
C.
17.What is the value of the expression
A.
B.
C. 4
D. 16
18. (2 ) (3 ) =
A. ( 2 3 ) 6B. ( 2 3 ) 9C. ( − 6 ) 6D. ( − 6 ) 9
19. What is the value of
A.
B.
C.
D.
3 5
3 3 3 3
Exponent and Sci Notation SG Page 6 of 12
20. Which number is equivalent to (1 ) (2) (4) ?
A. 4B. 8C. 16D. 96
21. Which expression is equivalent to 2 ·2 ·2 ?
A. 2 18B. 2 150C. 6 18D. 6 150
22. Which set of numbers is ordered from least to greatest?
A. 5.3 × 10 ; 2.3 × 10 ; 275,000
B. 2.3 × 10 ; 275,000; 5.3 × 10
C. 275,000; 2.3 × 10 ; 5.3 × 10
D. 275,000; 5.3 × 10 ; 2.3 × 10
23. The area of the United States of America is approximately square
kilometers. The area of Delaware is approximately square
kilometers.
About how many times larger is the area of the United States than thearea of Delaware?
24. In 2005, about 3.1 billion books were sold in the United States. How isthe number of books sold written in scientific notation?
A. 3.1 × 10
B. 3.1 × 10
C. 3.1 × 10
D. 3.1 × 10
2 4 3 2
3 5 10
4 5
5 4
5 4
4 5
6
7
8
9
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25. The speed of sound at a certain temperature is approximately
feet per second. A snail moves at approximately feet per
second. Which expression shows how many times faster the snail willhave to travel to move at the speed of sound?
A.
B.
C.
D.
26. The speed of light is about 3.0 x 10 meters per second. The speed ofsound at sea level is about 3.0 x 10 meters per second. About howmany times faster is the speed of light than sound?
A. 1,000
B. 6,000
C. 1,000,000
D. 3,000,000
27. What is 3.024 × 10 written in standard form?
A. 30,240
B. 3,024
C. 0.00003024
D. 0.0003024
8
2
4–
–
–
Exponent and Sci Notation SG Page 8 of 12
28. The population of the United States is approximately 3×10 people. The population ofGermany is approximately 8×10 people. Which statement about the populations of thesecountries is true?
A. The population of Germany is almost 3 times the population of the United States.B. The population of Germany is almost 4 times the population of the United States.C. The population of the United States is almost 3 times the population of Germany.D. The population of the United States is almost 4 times the population of Germany.
29. Mercury is about 3.6 × 10 miles from the Sun. Venus is about 6.7 × 10miles from the Sun. About how many times farther is Venus from the Sunthan Mercury?
A. 1.5
B. 2
C. 2.5
D. 3
30. The number of fish in Lake Bass is about 1.2 × 10 . The number of fish inLake Simon is about 6 × 10 . How much larger is the number of fish inLake Bass than the number of fish in Lake Simon?
A. 2 times larger
B. 20 times larger
C. 200 times larger
31. A small paper clip weighs about 0.0005 kilogram. What is 0.0005 written in scientificnotation?
A. 5 × 10 − 4B. 5 × 10 − 3C. 5 × 10 3D. 5 × 10 4
8
7
7 7
6
3
Exponent and Sci Notation SG Page 9 of 12
32. Accordingto the 2010 national census, the total population of the UnitedStates was approximately people. The total population of a town
was approximately people. The population of the United States
was how many times greater than the population of the town?
A. 3
B. 300
C. 3,000
D. 30,000
33. The mass of Earth’s moon is approximately kilograms. The mass
of Venus is approximately kilograms. The mass of Venus is about
how many times greater than the mass of Earth’s moon?
A. 0.014
B. 0.71
C. 71
D. 140
34. The average distance of Mercury from the Sun is about
kilometers (km). The average distance of Jupiter from the Sun is about13 times the distance of Mercury from the Sun. What is theapproximate average distance of Jupiter from the Sun, in km?
A.
B.
C.
D.
35. The circumference of Earth is approximately 2.49×104 miles. If Philip traveled around thecircumference of Earth 20 times, what would be the approximate number of miles hetraveled?
A. 4.98 × 10 4B. 4.98 × 10 5C. 4.98 × 10 8D. 4.98 × 10 20
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36. The volume of the sun is approximately How
is this number expressed in scientific notation, to six significant digits?
A.
B.
C.
D.
37. Which number is equivalent to 3.2×10 ?
A. 0.0032B. 0.032C. 320D. 3200
38. Neptune has an average distance from the Sun of 2.794×109 miles. Earth has an averagedistance from the Sun of 9.296×107 miles. Which of the following is closest to the number oftimes Neptune is farther from the Sun than Earth is from the Sun?
A. 0.003B. 0.03C. 30D. 300
39. What is the value of ?
A. 0.02
B. 0.2
C. 2
D. 200
40. Which is scientific notation for 12,300,000,000?
A. 1.23 × 10 8B. 1.23 × 10 9C. 1.23 × 10 10D. 1.23 × 10 11
−2
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41. The fuel consumption of an airline in the year 2010 was 11.5 billiongallons and decreased by 1 billion gallons the next year. What was thefuel consumption, in gallons, in the year 2011? Write your answer inscientific notation.
42. Which number below correctly represents 0.0005682 using scientific notation?
A. 5.682 × 1 0 4B. 5.682 × 1 0 3C. 5.682 × 10 − 3D. 5.682 × 10 − 4
43.What is the value of ?
A. 7 × 10
B. 7 × 10
C. 7 × 10
D. 7 × 10
10
9
6
5
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