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Do you know about standard forms? Play this the ultimate standard form math quiz to review and test your mathematics knowledge. Standard forms in mathematics are the simplest form of writing that anyone can easily read and write. For example, the standard form of 0.008 is 8 × 10-3. In the quiz below, you have to write the standard forms in some questions and ordinary forms in a few questions. Do you think you can do so? Take this quiz and check how sharp your memory is.
Questions and Answers
1.
485000384 can be written as
A.
4.85000384
B.
4.85 x 10⁸
C.
485 x 10⁸
D.
4.85 x 10^{7}
Correct Answer B. 4.85 x 10⁸
Explanation The given number, 485000384, can be written in scientific notation as 4.85 x 10⁸. This is because in scientific notation, a number is expressed as a product of a decimal number between 1 and 10 (in this case, 4.85) and a power of 10 (in this case, 10⁸). The power of 10 represents the number of places the decimal point needs to be moved to the right to obtain the original number. Therefore, 485000384 can be written as 4.85 x 10⁸.
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2.
48493 can be written as
A.
11148493 x 10⁴
B.
4.84 x 10⁴
C.
4.85 x 10⁴
D.
1148493 x 10⁴
Correct Answer C. 4.85 x 10⁴
Explanation The given number, 48493, can be written as 4.85 x 10⁴. This is because when we move the decimal point four places to the left, we get 4.8493. Since the decimal point is after the 5, the number becomes 4.85. Multiplying this by 10⁴ gives us 48500, which is the same as 4.85 x 10⁴.
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3.
74956399 can be written as
A.
7.49 x 10⁷
B.
7.50 x 10⁷
C.
7495 x 10⁷
D.
7.050 x 10⁷
Correct Answer B. 7.50 x 10⁷
Explanation The given number, 74956399, can be written in scientific notation as 7.50 x 10⁷. This is because we move the decimal point 7 places to the left to get 7.50, and then multiply it by 10⁷ to account for the decimal point's new position.
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4.
0.0004853 can be written as
A.
4.85 x 10‾⁴
B.
4.85 x 10⁴
C.
4853 x 10⁴
D.
485 x 10‾⁴
Correct Answer A. 4.85 x 10‾⁴
Explanation The given number, 0.0004853, can be written in scientific notation as 4.85 x 10⁻⁴. This is because the decimal point is moved 4 places to the right, resulting in a positive exponent of -4.
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5.
0.73672 can be written as
A.
0.736 x 10‾¹
B.
7.37 x 10¹
C.
7.37 x 10‾¹
D.
All of the above
Correct Answer C. 7.37 x 10‾¹
Explanation The correct answer is "7.37 x 10‾¹". This is because when we write a number in scientific notation, we express it as a decimal number between 1 and 10 multiplied by a power of 10. In this case, 0.73672 can be expressed as 7.37 multiplied by 10‾¹ (10 raised to the power of 1).
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6.
0.00000004004584 can be written as
A.
40046 x 10‾⁸
B.
0.40 x 10⁸
C.
4.00 x 10‾⁸
D.
0.4000 x 10⁸
Correct Answer C. 4.00 x 10‾⁸
Explanation The given number, 0.00000004004584, can be written as 4.00 x 10⁻⁸. This is because when we move the decimal point 8 places to the right, we get 0.00000004. Since this number is less than 1, we can express it in scientific notation by multiplying it by 10 raised to the power of -8. Therefore, the correct answer is 4.00 x 10⁻⁸.
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7.
Write 7.43 x 10⁴ in the ordinary form.
Correct Answer 74300, 74 300, 74, 300
Explanation The given number, 7.43 x 10⁴, is written in scientific notation. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10, and a power of 10. To convert it to ordinary form, we multiply the decimal number by the power of 10. In this case, the decimal number is 7.43 and the power of 10 is 10⁴. Multiplying them gives us 74300, which is the ordinary form of 7.43 x 10⁴. The other options, 74 300 and 74, 300, are incorrect as they do not accurately represent the given number.
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8.
Write 8.45 x 10‾² in the ordinary form.
Correct Answer 0.0845
Explanation The given number, 8.45 x 10², is in scientific notation form. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10, and a power of 10. To convert it to ordinary form, we move the decimal point two places to the left since the power of 10 is positive. Therefore, the ordinary form of 8.45 x 10² is 0.0845.
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9.
Write 5.68 x 10‾⁹ in the ordinary form.
Correct Answer 0.00000000568
Explanation The given number, 5.68 x 10⁹, is written in scientific notation. To convert it to ordinary form, we move the decimal point 9 places to the right because the exponent is positive. This gives us the number 0.00000000568.
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10.
Write 6.30 x 10⁵ in the ordinary form.
Correct Answer 630000, 630 000, 630, 000
Explanation The given number, 6.30 x 10⁵, is written in scientific notation. In scientific notation, a number is expressed as the product of a coefficient and a power of 10. In this case, the coefficient is 6.30 and the power of 10 is ⁵. To convert this number to ordinary form, we simply multiply the coefficient by 10 raised to the power of ⁵. Therefore, the ordinary form of 6.30 x 10⁵ is 630000, 630 000, or 630, 000.
Explanation The correct answer is 4.22 x 10^12. This is the ordinary form of the given number, which is written in scientific notation. In scientific notation, a number is expressed as a decimal number between 1 and 10 multiplied by a power of 10. In this case, 4.22 is the decimal number and 10^12 represents the power of 10. This means that the number is equal to 4.22 multiplied by 10 raised to the power of 12, which is equivalent to 4,220,000,000,000.
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12.
Write 8.89 x 10‾²¹ in the ordinary form.
Correct Answer 0.00000000000000000000889
Explanation The given number, 8.89 x 10^21, can be written in the ordinary form as 8,890,000,000,000,000,000,000. This is because when a number is written in scientific notation, the exponent tells us how many places to move the decimal point to the right. In this case, the exponent of 21 means that we need to move the decimal point 21 places to the right, resulting in a very large number.
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