Practice: Perform the following calculation to the right number of sig figs:

[(1.7 × 10^{6}) ÷ (2.63 × 10^{5})] + 6.96

Subjects

Sections | |||
---|---|---|---|

Classification of Matter | 18 mins | 0 completed | Learn Summary |

Physical & Chemical Changes | 19 mins | 0 completed | Learn Summary |

Chemical Properties | 9 mins | 0 completed | Learn Summary |

Physical Properties | 7 mins | 0 completed | Learn |

Intensive vs. Extensive Properties | 14 mins | 0 completed | Learn |

Temperature | 12 mins | 0 completed | Learn Summary |

Scientific Notation | 14 mins | 0 completed | Learn |

SI Units | 8 mins | 0 completed | Learn |

Metric Prefixes | 24 mins | 0 completed | Learn Summary |

Significant Figures | 10 mins | 0 completed | Learn Summary |

Significant Figures: Precision in Measurements | 8 mins | 0 completed | Learn |

Significant Figures: In Calculations | 20 mins | 0 completed | Learn |

Conversion Factors | 16 mins | 0 completed | Learn |

Dimensional Analysis | 24 mins | 0 completed | Learn |

Density | 13 mins | 0 completed | Learn Summary |

Density of Geometric Objects | 19 mins | 0 completed | Learn |

Density of Non-Geometric Objects | 10 mins | 0 completed | Learn |

Additional Practice |
---|

The Scientific Method |

Filtration |

Standard Deviation, Mean, Median & Mode |

Accuracy & Precision |

**Significant Figures** are often involved in chemical calculations.

Concept #1: Significant Figure Rules with **Multiplication** and **Division**.

Concept #2: Significant Figure Rules with **Addition** and **Subtraction.**

Practice: Perform the following calculation to the right number of sig figs:

[(1.7 × 10^{6}) ÷ (2.63 × 10^{5})] + 6.96

Practice: Perform the following mathematical operations and express the result to the correct number of significant figures.

(6.404 × 2.91) / (18.7 – 17.1)

Practice: What answer should be reported, with the correct number of significant figures, for the following calculation?

[(42.00 − 40.915) ⋅ (25.739 − 25.729)] / [(11.50⋅1.001) + (0.00710 ⋅ 700.)]

0 of 6 completed

Concept #1: Significant Figures Calculations Concept 1

Concept #2: Significant Figures Calculations Concept 2

Concept #3: Significant Figures Calculations Concept 3

Practice #1: Significant Figures Calculations Practice 1

Practice #2: Significant Figures Calculations Practice 2

Practice #3: Significant Figures Calculations Practice 3

At 4.000°C water’s density is 1.000 g/cm 3. For the range of temperatures associated with “room temperature” the density of pure water is:
Density (g/cm 3) = (-0.00030 (g/°C • cm 3) x Temperature (°C) + 1.0042 (g/cm 3)
Based on this thermometer reading, how many significant figures should you report for the calculated density?
a) One b) Two c) Three d) Four e) Five

Give the correct number of significant figures for the following computation:
a) 1
b) 2
c) 3
d) 4
e) 5

Perform the following calculation to the right number of sig figs:
a) 1
b) 2
c) 3
d) 4

What answer should be reported, with the correct number of significant figures, for the following calculation?
(965.43 × 3.911) + 9413.4136
A) 13189
B) 13189.2
C) 1.32 × 104
D) 1.3 × 104
E) 1.319 × 104

Calculate the following to the correct number of significant figures.
a) 2
b) 1.5
c) 1.51
d) 1.510
e) 1.5103

Give the answer with correct significant figures.
4.56 / (7.49 + 5.493 - 5.345)

What is the value for y, rounded correctly and to the proper number of significant figures when x = 0.320 in the following equation?
y = 7.3562 x - 0.14
a. 2.2
b. 2.214
c. 2.2140
d. 2.21
e. 2.2138

Solve and give the correct number of significant figures to the problem below.5.80 x 10 –1 – 3.4 x 10 –2 =A) 5.5 x 10 –2B) 2.4 x 10 2C) 5.46 x 10 –1D) 2.4 x 10 –3E) 5.5 x 10 –1

What is the correctly reported mass of water based on this data? (A) 1.2980 g(B) 1.298 g(C) 1.30 g(D) 1.3 g

Calculate to the correct number of significant figures. a. 89.3 X 77.0 X 0.08

Calculate to the correct number of significant figures. b. (5.01 X 105) ÷ (7.8 X 102)

Calculate to the correct number of significant figures. c. 4.005 X 74 X 0.007

Calculate to the correct number of significant figures. d. 453 ÷ 2.031

Calculate to the correct number of significant figures. a. 43.7 - 2.341

Calculate to the correct number of significant figures.b. 17.6 + 2.838 + 2.3 + 110.77

Calculate to the correct number of significant figures.c. 19.6 + 58.33 - 4.974

Calculate to the correct number of significant figures.d. 5.99 - 5.572

Calculate to the correct number of significant figures. a. [( 1.7 X 106) ÷ (2.63 X 105)] + 7.33

Calculate to the correct number of significant figures. b. (568.99 - 232.1) ÷ 5.3

Calculate to the correct number of significant figures.d. (3.14 X 2.4367) - 2.34

Calculate to the correct number of significant figures. c. (9443 + 45 - 9.9) X 8.1 X 106

Do each calculation without using your calculator and give the answers to the correct number of significant figures. 1.76 X 10- 3 / 8.0 X 102

Do each calculation without using your calculator and give the answers to the correct number of significant figures. b. 1.87 x 10- 2 + 2 x 10- 4 - 3.0 x 10-3

Do each calculation without using your calculator and give the answers to the correct number of significant figures.[(1.36 X 105)(0.000322)/ 0.082](129.2)

(a) How many significant figures should be reported for the volume of the metal bar shown below? [5ection 1.5]

Carry out the following operations, and express the answers with the appropriate number of significant figures.(a) 12.0550 + 9.05

Carry out the following operations, and express the answers with the appropriate number of significant figures.(b) 257.2 - 19.789

Carry out the following operations, and express the answers with the appropriate number of significant figures.(e) (6.21 x 103) (0.1050)

Carry out the following operations, and express the answers with the appropriate number of significant figures.(d) 0.0577/ 0.753

Carry out the following operations, and express the answer with the appropriate number of significant figures.(a) 320.5 - (6104.5/2.3)

Carry out the following operations, and express the answer with the appropriate number of significant figures.(b) [(285.3 x 105) – (1.200 x 103)] x 2.8954

Carry out the following operations, and express the answer with the appropriate number of significant figures.(c) (0.0045 x 20,000.0) + (2813 x 12)

Evaluate each of the following and write the answer to the appropriate number of significant figures.a. 212.2 + 26.7 + 402.09

Evaluate each of the following and write the answer to the appropriate number of significant figures.b. 1.0028 + 0.221 + 0.10337

Evaluate each of the following and write the answer to the appropriate number of significant figures.c. 52.331 + 26.01 - 0.9981

Evaluate each of the following and write the answer to the appropriate number of significant figures.d. 2.01 x 102 + 3.014 x 103

Evaluate each of the following and write the answer to the appropriate number of significant figures.e. 7.255 - 6.8350

Perform the following mathematical operations, and express each result to the correct number of significant figures.a. 0.102 x 0.0821 x 273 / 1.01

Perform the following mathematical operations, and express each result to the correct number of significant figures.b. 0.14 x 6.022 x 10 23

Perform the following mathematical operations, and express each result to the correct number of significant figures.c. 4.0 x 10 4 x 5.021 x 10-3 x 7.34993 x 102

Perform the following mathematical operations, and express each result to the correct number of significant figures.d. 2.00 x 106 / 3.00 x 10 -7

Perform the following mathematical operations and express the result to the correct number of significant figures.a. 2.526 / 3.1 + 0.470 / 0.623 + 80.705 / 0.4326

Perform the following mathematical operations and express the result to the correct number of significant figures.b. (6.404 x 2.91) / (18.7 - 17.1)

Perform the following mathematical operations and express the result to the correct number of significant figures.c. 6.071 x 10-5 - 8.2 x 10-6 - 0.521 x 10-4

Perform the following mathematical operations and express the result to the correct number of significant figures.d. (3.8 x 10-12 + 4.0 x 10-13) / (4 x 1012 + 6.3 x 1013)

Perform the following mathematical operations and express the result to the correct number of significant figures.e. 9.5 + 4.1 + 2.8 + 3.175 / 4(Assume that this operation is taking the average of four numbers. Thus 4 in the denominator is exact.)

Perform the following mathematical operations and express the result to the correct number of significant figures.f. 8.925 - 8.905 / 8.925 x 100(This type of calculation is done many times in calculating a percentage error. Assume that this example is such a calculation; thus 100 can be considered to be an exact number.)

How many significant figures should be used to express the value of x?
x = (23.714 + 86.97 - 0.8693) / 31.7400 ?
A) two
B) three
C) four
D) five
E) six

Determine the number of significant figures for the result of the following arithmetic calculations.
(i) (332.41 + 711.59) (ii) (3.00 x 92.11) / 1.250 (iii) [(25.01 x 6.0) + 40.11]
A) 6, 3, 2
B) 4, 3, 3
C) 5, 3, 2
D) 5, 4, 3
E) 5, 3, 4

What is the correct answer to the following expression? 4.13 x 10-10 + 7.59 x 10 -12 a. 4.21 x 10-10 b. 4.2 x 10-10 c. 4 x 10-10 d. 4.206 x 10-10 e. 4.2059 x 10-10

Enter your friends' email addresses to invite them:

We invited your friends!

Join **thousands** of students and gain free access to **46 hours** of Chemistry videos that follow the topics **your textbook** covers.