Concept explainers
(a)
Interpretation:
The following
Concept introduction:
Calculation from zero or more values (operands) of input to a value of output is called as an operation. The most widely analyzed operations are binary and unary operations. Moreover, binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Answer to Problem 7E
The solution for the following operation
Explanation of Solution
Principally, operation can be defined as a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. Binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Different types of operations are;
Multiplications: It deals with multiplying the variables raised to a power involves adding their exponents.
xa times xb = x a + b
Division: It deals with dividing the variables raised to a power involves subtracting their exponents.
xa divided by xb = x a - b
Exponentiation: It deals with exponentiation of variables raised to a power involves multiplying the exponents.
xa raised to the b power = x a b
Based on the operation methods, the given operation can be solved as follows;
On rearranging the values, we get
Since, we know that
Thus, the solution to the following operation
(b)
Interpretation:
The following operation
Concept introduction:
Calculation from zero or more values (operands) of input to a value of output is called as an operation. The most widely analyzed operations are binary and unary operations. Moreover, binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Answer to Problem 7E
The solution for the following operation
Explanation of Solution
Principally, operation can be defined as a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. Binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Different types of operations are;
Multiplications: It deals with multiplying the variables raised to a power involves adding their exponents.
xa times xb = x a + b
Division: It deals with dividing the variables raised to a power involves subtracting their exponents.
xa divided by xb = x a - b
Exponentiation: It deals with exponentiation of variables raised to a power involves multiplying the exponents.
xa raised to the b power = x a b
Based on the operation methods, the given operation can be solved as follows;
On rearranging the values, we get
Since, we know that
Thus, the solution to the following operation
(c)
Interpretation:
The following operation
Concept introduction:
Calculation from zero or more values (operands) of input to a value of output is called as an operation. The most widely analyzed operations are binary and unary operations. Moreover, binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Answer to Problem 7E
The solution for the following operation
Explanation of Solution
Principally, operation can be defined as a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. Binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Different types of operations are;
Multiplications: It deals with multiplying the variables raised to a power involves adding their exponents.
xa times xb = x a + b
Division: It deals with dividing the variables raised to a power involves subtracting their exponents.
xa divided by xb = x a - b
Exponentiation: It deals with exponentiation of variables raised to a power involves multiplying the exponents.
xa raised to the b power = x a b
Based on the operation methods, the given operation can be solved as follows;
On rearranging the values, we get
Since, we know that
Thus, the solution to the following operation
(d)
Interpretation:
The following operation
Concept introduction:
Calculation from zero or more values (operands) of input to a value of output is called as an operation. The most widely analyzed operations are binary and unary operations. Moreover, binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Answer to Problem 7E
The solution for the following operation
Explanation of Solution
Principally, operation can be defined as a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. Binary operations deal with two values and include addition, subtraction, multiplication, division and unary operations deals with one value such as negation and trigonometric functions.
Different types of operations are;
Multiplications: It deals with multiplying the variables raised to a power involves adding their exponents.
xa times xb = x a + b
Division: It deals with dividing the variables raised to a power involves subtracting their exponents.
xa divided by xb = x a - b
Exponentiation: It deals with exponentiation of variables raised to a power involves multiplying the exponents.
xa raised to the b power = x a b
Based on the operation methods, the given operation can be solved as follows;
On rearranging the values, we get
Since, we know that
Thus, the solution to the following operation
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Chapter 3 Solutions
Introductory Chemistry: An Active Learning Approach
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- 3. Solve the following problems, stating answers to the proper number of significant figures:(a) 12.62 + 1.5 + 0.25 = (b) (2.25 x 103) (4.80 x 104) = (c) 10.4 + 3.75 (1.5 x 104) =arrow_forwardWrite the following numbers in standard notation. Use a ter-minal decimal point when needed:(a) 6.500*10^3(b) 3.46*10^5(c) 7.5*10^2(d) 1.8856*10^2arrow_forward3. Solve the following problems, stating answers to the proper number of significant figures: (a) 12.62 + 1.5 + 0.25 = (b) (2.25 x 10³) (4.80 x 104) = (c) 10.4 + 3.75 (1.5 x 104) =arrow_forward
- Carry out the following operations and express the answers with the appropriate number of significant figures. (a) 14.3505 + 2.65 (b) 952.7 - 140.7389 (e) 13.29 × 104210.25012 (d) 0.0588/0.677arrow_forwardBe sure to answer all parts. Carry out the following operations as if they were calculations of experimental results and express each answer in standard notation with the correct number of significant figures and with the correct units. Enter both the answer and the units in the answer field. (a) 7.2129 m + 0.6 m + 4.33 m (b) 3.70 g-4.0933 g (c) 4.51 cm x 5.9233 cmarrow_forward21. Solve the following problems, stating answers to the proper number of significant figures: (a) 12.62 +1.5 +0.25 = ? (b) (2.25 x 10³) (4.80 x 10) = ? (452)(6.2) (c) 14.3 (d) (0.0394)(12.8) = ? 0.4278 (e) 59.6 (f) 10.4 +3.75(1.5 × 10) = ? S ? = ?arrow_forward
- Perform the following calculations and report each answer with the correct number of significant figures. (a) 60.9 x 35 4.0 2100 (b) 0.144 +0.0070 + 0.011 4.0 X (c) 37 x 92 x 1.857 4.0 6400 (d) 16 4.0 (e) 8.63 x (f) 4.0 (h) 0.18 0.6410 4.0 180 + 7.40 + 0.013 0.0350 0.502 (g) 28.7 0.0483 4.0 4.0 (92.4 91.46) 44.70 X X Check the number of significant figures.arrow_forwardExpress the results of the following additions and subtractions to the proper number of significant figures. All of thenumbers are measured quantities.(a) 245.876+ 4.65+ 0.3678 =(b) 798.36 - 1005.7 + 129.652 =(c) 7.98 × 1017 + 6.472 × 1019 =(d) (4.32 × 10-15) - (6.257 × 10-14) - (2.136 × 10-13) =arrow_forwardCarry out the following operations and express the answerswith the appropriate number of significant figures.(a) 14.3505 + 2.65 (b) 952.7 - 140.7389(c) (3.29 x104)(0.2501) (d) 0.0588/0.677arrow_forward
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