Multiple Choice
Perform the following calculation to the right number of sig figs:
[(1.7 × 106) ÷ (2.63 × 105)] + 6.96
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2. Measurement and Problem Solving
Significant Figures: In Calculations
1:02 minutesProblem 17
Textbook Question
Evaluate each of the following:c. 4 x (-2) + 6 = __________
Verified step by step guidance1
Identify the mathematical operations in the expression: multiplication and addition.
Start by performing the multiplication: calculate \(4 \times (-2)\).
Determine the result of the multiplication, which will be a negative number since a positive number is multiplied by a negative number.
Add the result of the multiplication to 6: \((4 \times (-2)) + 6\).
Simplify the expression to find the final result.
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Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Basic Arithmetic Operations
Understanding basic arithmetic operations, such as addition and multiplication, is essential for solving mathematical expressions. In this case, multiplication is performed first, followed by addition, adhering to the order of operations (PEMDAS/BODMAS). This foundational knowledge allows students to accurately evaluate expressions involving integers.
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Negative Numbers
Negative numbers represent values less than zero and are crucial in arithmetic operations. When multiplying a positive number by a negative number, the result is negative. Recognizing how to handle negative numbers is vital for correctly evaluating expressions that include them, as seen in the multiplication of 4 and -2.
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Order of Operations
The order of operations is a set of rules that dictates the sequence in which calculations should be performed in a mathematical expression. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. Applying these rules ensures that expressions are evaluated correctly and consistently.
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