Scientific Notation Quiz! Trivia Questions Test

1. Express

4.09 x 10 to the power of 4

in standard notation.

0.0000409

0.000409

4,090,000

40,900

The answer 40,900 is in standard notation because it is written in a simplified form without any unnecessary zeros. In standard notation, numbers are written with digits ranging from 1 to 9 followed by zeros, if necessary. In this case, the number 40,900 does not have any unnecessary zeros after it, so it is in standard notation.

Explanation

The answer 40,900 is in standard notation because it is written in a simplified form without any unnecessary zeros. In standard notation, numbers are written with digits ranging from 1 to 9 followed by zeros, if necessary. In this case, the number 40,900 does not have any unnecessary zeros after it, so it is in standard notation.

2. Express

6.97 space x space 10 to the power of negative 5 end exponent

in standard form.

697,000

0.0000697

0.00000697

69,700,000

The given answer, 0.0000697, is in standard form because it is written in decimal notation and the decimal point is placed after the first non-zero digit. In this case, the first non-zero digit is 6, so the decimal point is placed after it.

Explanation

The given answer, 0.0000697, is in standard form because it is written in decimal notation and the decimal point is placed after the first non-zero digit. In this case, the first non-zero digit is 6, so the decimal point is placed after it.

3. Express 58,640 in scientific notation.

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Explanation

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4. Arrange the following numbers in order from least to greatest.

4.09 space x space 10 cubed

,

3.1 x 10 to the power of 4

,

4.5 x 10 cubed

,

3.04 x 10 to the power of 4

, , ,

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Explanation

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5. Express 0.0057 in scientific notation.

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Explanation

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6. Which of the following shows the product represented in scientific notation? (5.6 x 10⁴)(4.3 x 10⁷)

24.08 x 1011

2.408 x 1010

2.408 x 1012

2.408 x 1011

The product of (5.6 x 10^4) and (4.3 x 10^7) is equal to 24.08 x 10^11. However, none of the answer choices match this value. Therefore, the correct answer is not available.

Explanation

The product of (5.6 x 10^4) and (4.3 x 10^7) is equal to 24.08 x 10^11. However, none of the answer choices match this value. Therefore, the correct answer is not available.

7. Which of the following represents the product in scientific notation?(3.1 x 10^-7)(5.8 x 10^-6)

17.98 x 1013

17.98 x 10-13

1.798 x 10-12

1.798 x 10-14

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents. In this case, (3.1 x 10-7)(5.8 x 10-6) equals 17.98 x 10-13. However, in scientific notation, the coefficient should be between 1 and 10. Therefore, 17.98 x 10-13 can be written as 1.798 x 10-12, which is the correct answer.

Explanation

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents. In this case, (3.1 x 10-7)(5.8 x 10-6) equals 17.98 x 10-13. However, in scientific notation, the coefficient should be between 1 and 10. Therefore, 17.98 x 10-13 can be written as 1.798 x 10-12, which is the correct answer.

8. Which of the following represents the quotient in scientific notation? 2 x 10⁷ 8 x 10⁴

.25 x 103

.25 x 10-3

2.5 x 102

2.5 x 104

The given answer, 2.5 x 102, represents the quotient in scientific notation. In scientific notation, a number is written as a product of a decimal number between 1 and 10 and a power of 10. In this case, 2.5 is the decimal number between 1 and 10, and 102 is the power of 10. Therefore, 2.5 x 102 is the correct representation of the quotient in scientific notation.

Explanation

The given answer, 2.5 x 102, represents the quotient in scientific notation. In scientific notation, a number is written as a product of a decimal number between 1 and 10 and a power of 10. In this case, 2.5 is the decimal number between 1 and 10, and 102 is the power of 10. Therefore, 2.5 x 102 is the correct representation of the quotient in scientific notation.