Question 1

In the number 48.93,which digit is estimated?

Accepted Answer

The digit that is estimated is the tenths place digit 3, which is an approximation. The other digits are certain.

Question 2

The distance between the two hydrogen atoms in a molecule of water is 0.000000000172 m.Express this distance in scientific notation.

Accepted Answer

The answer of The distance between the two hydrogen atoms...

Question 3

Determine the answer for the equation below with correct number of significant figures: 3.215 × 13.2 ÷ 0.218 = ________

Accepted Answer

The answer should be rounded to 3 significant figures, since 0.218 has only 3 significant figures.

Question 4

There are exactly 2.54 centimeters in 1 inch.When using this conversion factor,how many significant figures are you limited to?

Accepted Answer

The conversion factor 2.54 centimeters per inch is defined exactly, so it has an infinite number of significant figures.

Question 5

The correct number of significant figures in the number  is:

Accepted Answer

The answer of The correct number of significant figures in...

Question 6

The correct number of significant figures in the number 1.250100 is:

Accepted Answer

The number 1.250100 has 7 significant figures. All non-zero digits are significant, and zeros between non-zero digits or after the decimal point are also significant.

Question 7

The correct scientific notation for the number 500.0 is:

Accepted Answer

The correct scientific notation for the number 500.0 involves placing the decimal point after the first digit, resulting in 5.000. The exponent is determined by counting the number of places the decimal point must be moved to get to the original number, which is one place to the left. Therefore, the answer is 5.000 × 10^1, or option C.

Question 8

Determine the answer for the equation below with correct number of significant figures: 1.2 × 1.79 = ________

Accepted Answer

The number with the least significant figures is 1.2, which has 2 significant figures. Therefore, the answer should also have 2 significant figures. The product is 2.148, which rounds to 2.1.

Question 9

The correct scientific notation for the number 0.00050210 is:

Accepted Answer

The correct scientific notation for 0.00050210 is 5.0210 × 10^-4, as the decimal point is moved 4 places to the right to get 5.0210.

Question 10

Suppose a thermometer has marks at every one degree increment and the mercury level on the thermometer is exactly between the 25 and 26 degree Celsius marks.We should properly report the temperature measurement as:

Accepted Answer

Since the mercury level is exactly halfway between the 25 and 26 degree Celsius marks, we can report the measurement as 25.5°C, which represents the midpoint between the two whole degree marks. Choice A is not precise enough to accurately reflect the measurement, while choices B, D, and E are too precise given the marks on the thermometer.

Question 11

The correct number of significant figures in the number 865,000 is:

Accepted Answer

The number of significant figures in "865,000" is ambiguous without further context because it's unclear whether the zeros are significant or merely placeholders.

Question 12

How many significant digits should be reported in the answer to the following calculation? (4.3 - 3.7)× 12.3 =

Accepted Answer

The calculation (4.3 - 3.7) = 0.6 has only one significant digit to the right of the decimal, and when multiplied by 12.3 (which has three significant digits), the number of significant digits in the final answer is determined by the least number of significant digits in any of the numbers used in the calculation, which is 1.

Question 13

The correct decimal representation of 1.201 × 10^-7 is:

Accepted Answer

To convert the given number to decimal form, we need to move the decimal point to the left by 7 places, since the exponent is negative. This gives us:

1.201 × 10^-7 = 0.0000001201

Therefore, the correct decimal representation is option C, 0.0000001201.

Question 14

The wavelength of blue light is 0.00000045 m.Express this wavelength in scientific notation.

Accepted Answer

In scientific notation, we express the wavelength as a number between 1 and 10 multiplied by a power of 10. To do this, we move the decimal point to the left until we have a number between 1 and 10. In this case, we move it 7 places to the left, giving us 4.5. The power of 10 is the number of places we moved the decimal point, but with a negative sign since we moved it to the left. Therefore, the answer is 4.5 × 10^-7, which is choice C.

Question 15

The correct number of significant figures in the number 0.002320 is:

Accepted Answer

The number 0.002320 has four significant figures, as all digits are significant, except for any leading zeros.

Question 16

Which of the following statements is NOT part of the rules for determining significant figures?

Accepted Answer

Non-zero digits at the end of a number are always considered significant, which contradicts the statement in option A.

Question 17

The correct decimal representation of 6.453 × 10³ is:

Accepted Answer

6.453 × 10^3 means moving the decimal point three places to the right, resulting in 6,453.

Question 18

When the value 4.449 is rounded to two significant figures,the number should be reported as:

Accepted Answer

When rounding to two significant figures, the last significant figure is rounded to the nearest whole number. In this case, the last significant figure is 4, which is rounded to 4. Therefore, the number should be reported as 4.4.

Question 19

The correct number of significant figures in the number 0.027090 is:

Accepted Answer

The first non-zero digit is in the thousandths place, meaning there are 5 significant figures. Any zeros after the last non-zero digit are significant if there is a decimal point, so the zeros after the 9 are significant. Therefore, the correct number of significant figures is 5.

Question 20

The correct number of significant figures in the number 4.0 × 10^-2 is:

Accepted Answer

The number 4.0 × 10^-2 has two significant figures because the "4.0" indicates precision to the tenths place, and the exponent in scientific notation does not affect the count of significant figures.

Quiz 2: Measurement and Problem Solving

In the number 48.93,which digit is estimated?

The distance between the two hydrogen atoms in a molecule of water is 0.000000000172 m.Express this distance in scientific notation.

Determine the answer for the equation below with correct number of significant figures: 3.215 × 13.2 ÷ 0.218 = ________

There are exactly 2.54 centimeters in 1 inch.When using this conversion factor,how many significant figures are you limited to?

The correct number of significant figures in the number is:

The correct number of significant figures in the number 1.250100 is:

The correct scientific notation for the number 500.0 is:

Determine the answer for the equation below with correct number of significant figures: 1.2 × 1.79 = ________

The correct scientific notation for the number 0.00050210 is:

Suppose a thermometer has marks at every one degree increment and the mercury level on the thermometer is exactly between the 25 and 26 degree Celsius marks.We should properly report the temperature measurement as:

The correct number of significant figures in the number 865,000 is:

How many significant digits should be reported in the answer to the following calculation? (4.3 - 3.7) × 12.3 =

The correct decimal representation of 1.201 × 10^-7 is:

The wavelength of blue light is 0.00000045 m.Express this wavelength in scientific notation.

The correct number of significant figures in the number 0.002320 is:

Which of the following statements is NOT part of the rules for determining significant figures?

The correct decimal representation of 6.453 × 10³ is:

When the value 4.449 is rounded to two significant figures,the number should be reported as:

The correct number of significant figures in the number 0.027090 is:

The correct number of significant figures in the number 4.0 × 10^-2 is:

Quiz 2: Measurement and Problem Solving

In the number 48.93,which digit is estimated?

The distance between the two hydrogen atoms in a molecule of water is 0.000000000172 m.Express this distance in scientific notation.

Determine the answer for the equation below with correct number of significant figures: 3.215 × 13.2 ÷ 0.218 = ________

There are exactly 2.54 centimeters in 1 inch.When using this conversion factor,how many significant figures are you limited to?

The correct number of significant figures in the number is:

The correct number of significant figures in the number 1.250100 is:

The correct scientific notation for the number 500.0 is:

Determine the answer for the equation below with correct number of significant figures: 1.2 × 1.79 = ________

The correct scientific notation for the number 0.00050210 is:

Suppose a thermometer has marks at every one degree increment and the mercury level on the thermometer is exactly between the 25 and 26 degree Celsius marks.We should properly report the temperature measurement as:

The correct number of significant figures in the number 865,000 is:

How many significant digits should be reported in the answer to the following calculation? (4.3 - 3.7) × 12.3 =

The correct decimal representation of 1.201 × 10-7 is:

The wavelength of blue light is 0.00000045 m.Express this wavelength in scientific notation.

The correct number of significant figures in the number 0.002320 is:

Which of the following statements is NOT part of the rules for determining significant figures?

The correct decimal representation of 6.453 × 103 is:

When the value 4.449 is rounded to two significant figures,the number should be reported as:

The correct number of significant figures in the number 0.027090 is:

The correct number of significant figures in the number 4.0 × 10-2 is:

The correct decimal representation of 1.201 × 10^-7 is:

The correct decimal representation of 6.453 × 10³ is:

The correct number of significant figures in the number 4.0 × 10^-2 is: