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Write 451000 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Explanation The given number, 451000, can be expressed in scientific notation as 4.51x10^5. In scientific notation, the number is written as a decimal between 1 and 10 (in this case, 4.51) multiplied by a power of 10 (in this case, 10^5). This notation is used to represent very large or very small numbers in a concise and standardized format.
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2.
Write 4500000 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Explanation The given number 4500000 can be written in scientific notation as 4.5x10^6. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 (in this case, 4.5) and a power of 10 (in this case, 10^6). This notation is commonly used to represent very large or very small numbers in a concise and standardized format.
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3.
Write 0.000456 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Explanation The given number, 0.000456, can be written in scientific notation as 4.56x10^-4. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10, and a power of 10. In this case, the decimal number is 4.56, and the power of 10 is -4. The negative exponent indicates that the number is less than 1.
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4.
Write 0.00715 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Explanation The given number, 0.00715, can be written in scientific notation as 7.15x10^-3. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10, and a power of 10. In this case, the decimal number is 7.15, and the power of 10 is -3, indicating that the decimal point should be moved three places to the left to obtain the original number.
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5.
Write 451000 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Explanation The number 451000 can be expressed in scientific notation as 4.51x10^5. In scientific notation, the number is written as a decimal number between 1 and 10 (in this case, 4.51) multiplied by a power of 10 (in this case, 10^5). The exponent 5 indicates that the decimal point is moved 5 places to the right to obtain the original number.
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6.
Write 4500000 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Explanation The given number, 4500000, can be expressed in scientific notation as 4.5x10^6. In scientific notation, the first part of the number should be between 1 and 10, so we divide 4500000 by 10^6 to get 4.5. The exponent, 6, indicates that we need to move the decimal point 6 places to the right to get the original number. Therefore, the number 4500000 can be written as 4.5x10^6 in scientific notation.
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7.
Rewrite in decimal notation.
A.
4000
B.
400
C.
0.0004
D.
0.00004
E.
4
F.
400
G.
None of these choices.
Correct Answer
A. 4000
Explanation The given question asks to rewrite the number 4000 in decimal notation. The number 4000 is already in decimal notation, so there is no need to rewrite it.
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8.
Rewrite in decimal notation.
A.
400000
B.
4000
C.
0.0004
D.
0.000004
E.
4
F.
400
G.
None of these choices.
Correct Answer
A. 400000
Explanation The given answer is 400000. This is the correct answer because it matches the first number in the list, which is 400000.
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9.
Rewrite in decimal notation.
A.
4000000
B.
40004
C.
0.00004
D.
0.0000004
E.
4
F.
400
G.
None of these choices.
Correct Answer
A. 4000000
Explanation The given answer, 4000000, is already in decimal notation.
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10.
is 2000 times as large as what number?Write your answer in decimal notation.
Correct Answer 200000 200,000
Explanation The given answer, 200000,200,000, is in decimal notation and represents the number that is 2000 times larger than the unknown number.
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11.
is 20 times as large as what number?Write your answer in decimal notation.
Correct Answer 200
Explanation The given answer is 200. This means that the number being referred to is 1/20th of 200. In other words, if we multiply the unknown number by 20, we will get 200. Therefore, the unknown number is 10.
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12.
Correct Answer 3/2 1 1/2 1 1/2
13.
Correct Answer 6/5 1 1/5
14.
Correct Answer 16/81
15.
Correct Answer 81/256
16.
Write 0.000456 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Correct Answer 4.56x10^-4 4.56*10^-4
Explanation The given number, 0.000456, can be expressed in scientific notation as 4.56x10^-4 or 4.56*10^-4. In scientific notation, the number is written as a decimal between 1 and 10, multiplied by a power of 10. In this case, the decimal is 4.56 and the power of 10 is -4, indicating that the decimal needs to be moved 4 places to the right to obtain the original number.
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17.
Write 0.00715 in scientific notation.Example: = 5.6x10^4 No spaces necessary.
Correct Answer 7.15x10^-3 7.15*10^-3
Explanation The given number, 0.00715, can be expressed in scientific notation as 7.15x10^-3 or 7.15*10^-3. In scientific notation, a number is written in the form of a decimal number between 1 and 10 multiplied by a power of 10. In this case, the decimal number is 7.15, and it is multiplied by 10 raised to the power of -3, indicating that the decimal point should be moved three places to the left.
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18.
Mercury is 4,632,000,000 year old.Estimate the age of Mercury by writing it in the form of years, where x and y are single-digit numbers.
A.
B.
None of these choices.
C.
D.
E.
Correct Answer
B. None of these choices.
19.
How many times larger is than
A.
40000
B.
400
C.
4000
D.
4
E.
1/4
F.
1/400
G.
1/4000
H.
1/40000
Correct Answer
H. 1/40000
Explanation The given question asks for the comparison of a number with 40000. The answer 1/40000 indicates that the number is 40000 times smaller than 40000.
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20.
Correct Answer 1/9 1/3^2
21.
Correct Answer 1/8 1/2^3
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