Table of contents

1. Matter and Measurements4h 31m
2. Atoms and the Periodic Table5h 23m
3. Ionic Compounds2h 18m
4. Molecular Compounds2h 18m
5. Classification & Balancing of Chemical Reactions3h 17m
6. Chemical Reactions & Quantities2h 27m
7. Energy, Rate and Equilibrium3h 46m
8. Gases, Liquids and Solids3h 25m
9. Solutions4h 10m
10. Acids and Bases3h 29m
11. Nuclear Chemistry56m
BONUS: Lab Techniques and Procedures1h 38m
BONUS: Mathematical Operations and Functions47m
12. Introduction to Organic Chemistry1h 34m
13. Alkenes, Alkynes, and Aromatic Compounds2h 12m
14. Compounds with Oxygen or Sulfur1h 6m
15. Aldehydes and Ketones1h 1m
16. Carboxylic Acids and Their Derivatives1h 11m
17. Amines39m
18. Amino Acids and Proteins1h 51m
19. Enzymes1h 37m
20. Carbohydrates1h 41m
21. The Generation of Biochemical Energy2h 8m
22. Carbohydrate Metabolism2h 22m
23. Lipids2h 26m
24. Lipid Metabolism1h 45m
25. Protein and Amino Acid Metabolism1h 37m
26. Nucleic Acids and Protein Synthesis2h 54m

1. Matter and Measurements

Significant Figures: In Calculations

GOB Chemistry

1. Matter and Measurements

Significant Figures: In Calculations

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1:02 minutes

Problem 17c

Textbook Question

Evaluate each of the following:
c. 4 × (–2) + 6 = __________

Verified step by step guidance

Step 1: Begin by identifying the mathematical operations in the expression. The given expression is 4 × (-2) + 6. It involves multiplication and addition.

Step 2: Perform the multiplication first, as per the order of operations (PEMDAS/BODMAS). Multiply 4 by -2. This will give a product of -8.

Step 3: After completing the multiplication, rewrite the expression with the result of the multiplication substituted in. The expression now becomes -8 + 6.

Step 4: Perform the addition operation. Add -8 and 6 together. Remember that adding a negative number is equivalent to subtracting its absolute value.

Step 5: The result of the addition will give the final value of the expression. Ensure you understand how to combine positive and negative numbers correctly.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Multiplication

Multiplication is a fundamental arithmetic operation that represents the repeated addition of a number. In the expression 4 x (-2), it indicates that -2 is added to itself four times, resulting in a negative product. Understanding multiplication is essential for evaluating expressions that involve both positive and negative numbers.

Addition

Addition is another basic arithmetic operation that combines two or more numbers to produce a sum. In the expression 6 + (result of multiplication), it is crucial to correctly add the result of the multiplication to 6. This operation is foundational in arithmetic and is often used in conjunction with multiplication in algebraic expressions.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which different mathematical operations should be performed to ensure consistent results. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), it is vital to follow this order when evaluating expressions like 4 x (-2) + 6 to arrive at the correct answer.

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Related Practice

Textbook Question

Perform each of the following calculations, and give an answer with the correct number of significant figures:

a. 45.7 × 0.034

Multiple Choice

Perform the following calculation to the right number of sig figs:
[(1.7 × 10⁶) ÷ (2.63 × 10⁵)] + 6.96

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

What answer should be reported, with the correct number of significant figures, for the following calculation?
[(42.00 − 40.914) ⋅ (25.739 − 25.729)] / [(11.50⋅1.001) + (0.00710 ⋅ 700.)]

Perform each of the following calculations, and give an answer with the correct number of significant figures:

b. 0.00278 × 5

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Textbook Question

Perform each of the following calculations, and give an answer with the correct number of significant figures:

a. 45.7 × 0.034