Question 1

A balance has an accuracy of ±0.01 grams. A beaker weighed 15 grams when weighed on this balance. Using the correct number of significant figures, the weight of the beaker should be recorded as ________.

Accepted Answer

The balance has an accuracy of ±0.01 grams, which means it can measure to the hundredths place. Therefore, the weight should be recorded with two decimal places to reflect this precision, making 15.00 g the correct way to record the weight.

Question 2

Which of the following numbers contains 3 significant figures?

Accepted Answer

C) 8.90 contains 3 significant figures. The zeros after the decimal point are significant, indicating precision.

Question 3

What is the correct number of significant figures in the answer for the following sum?
8.650 + 19.6 + 44.05 + 88

Accepted Answer

The sum should be rounded to the least number of decimal places in the original numbers, which is one decimal place (from 19.6).

Question 4

The calculator answer obtained from multiplying 21.08 1.9634 is 41.388472. The answer to the correct number of significant figures is ________.

Accepted Answer

The answer of The calculator answer obtained from multiplying 21.08...

Question 5

The correct answer obtained from subtracting 1.2 from 123.96 contains ________.

Accepted Answer

Subtracting 1.2 from 123.96 gives 122.76, which contains 4 significant figures.

Question 6

Do the following calculation. How many significant figures are justified for the answer?
5.02 + 6.119 + 0.04117

Accepted Answer

The answer is 11.18017. The least number of significant figures in the numbers being added is 3, so the answer should be reported with 3 significant figures.

Question 7

The correct answer for the calculation Where 126 and 135 are counted numbers and 1.364 and 0.8951 are measured numbers is ________.

Accepted Answer

The answer of The correct answer for the calculation Where 126...

Question 8

Do the following calculation and express the answer using the correct scientific notation.

Accepted Answer

The answer of Do the following calculation and express the...

Question 9

Perform the following addition and express the answer to the correct number of significant figures.
12.47 g + 1.026 g + 135.8 g

Accepted Answer

In addition, the result should have the same number of decimal places as the measurement with the least number of decimal places. Here, 12.47 g has two decimal places, 1.026 g has three, and 135.8 g has one. Therefore, the result should be rounded to one decimal place, making 149.3 g the correct answer.

Question 10

The numerical value for (5.6 x 10⁴) ÷ (7.89 x 10²) is equal to, with the proper number of significant figures:

Accepted Answer

The correct answer is obtained by dividing the two numbers, which gives a result of 71 when rounded to the correct number of significant figures. The notation used in the question indicates scientific notation, and after performing the division and adjusting for significant figures, the result simplifies to 71.

Question 11

Carry out the following calculations. Express your answer to the proper number of significant figures.

Accepted Answer

The answer of Carry out the following calculations. Express your...

Question 12

Which of the following statements is true?

Accepted Answer

The answer of Which of the following statements is true?

...

Question 13

A rubber band is found to weigh 0.0978 g. What is the total mass of 106 such identical rubber bands?

Accepted Answer

The answer of A rubber band is found to weigh...

Question 14

Perform the following mathematical operations. Express your answer to the proper number of significant figures.
(93.789 - 5.40) x 18.057 =

Accepted Answer

The calculation (93.789 - 5.40) x 18.057 = 1596.2393 should be rounded to 1596 to match the least number of decimal places in the original numbers, which is 2 (from 5.40).

Question 15

A student cut 1200 pieces of copper wire, each wire weighed 1.769 grams. Calculate the total mass of the pieces of copper to the correct number of significant figures.

Accepted Answer

The answer of A student cut 1200 pieces of copper...

Question 16

A penny weighs 1.575 g. What is the total mass of 150 pennies?

Accepted Answer

The answer of A penny weighs 1.575 g. What is...

Question 17

Water and vitamin C were added to a beaker. Calculate the mass of the beaker and its contents, and choose the answer with the appropriate number of significant figures.
146.20 g beaker + 23.1 g water + 0.34 g vitamin C =

Accepted Answer

The least precise measurement is 23.1 g of water, which has two decimal places. Therefore, the final answer should be rounded to the tenths place, making 169.6 g the correct choice with the appropriate number of significant figures.

Question 18

What mathematical operation is represented by the exponential notation of 10 - ⁴?

Accepted Answer

The exponential notation 10^-4 (which is what "10 - ⁴" seems to be attempting to represent) means 1 divided by 10 raised to the power of 4, which is equivalent to 1/10 x 1/10 x 1/10 x 1/10.

Question 19

The number 3009.1 expressed in scientific notation to the correct number of significant figures becomes ________.

Accepted Answer

The number 3009.1 has five significant figures. In scientific notation, it is expressed as 3.0091 x 10^3, maintaining all five significant figures.

Question 20

The number 0.00309 expressed in scientific notation to the correct number of significant figures becomes ________.

Accepted Answer

The correct scientific notation for 0.00309 is 3.09 x 10^-3, which maintains the original number of significant figures (three) and correctly positions the decimal point.

Quiz 2: Numbers From Measurements

A balance has an accuracy of ±0.01 grams. A beaker weighed 15 grams when weighed on this balance. Using the correct number of significant figures, the weight of the beaker should be recorded as ________.

Which of the following numbers contains 3 significant figures?

What is the correct number of significant figures in the answer for the following sum? 8.650 + 19.6 + 44.05 + 88

The calculator answer obtained from multiplying 21.08 1.9634 is 41.388472. The answer to the correct number of significant figures is ________.

The correct answer obtained from subtracting 1.2 from 123.96 contains ________.

Do the following calculation. How many significant figures are justified for the answer? 5.02 + 6.119 + 0.04117

The correct answer for the calculation Where 126 and 135 are counted numbers and 1.364 and 0.8951 are measured numbers is ________.

Do the following calculation and express the answer using the correct scientific notation.

Perform the following addition and express the answer to the correct number of significant figures. 12.47 g + 1.026 g + 135.8 g

The numerical value for (5.6 x 104) ÷ (7.89 x 102) is equal to, with the proper number of significant figures: