
Concept explainers
(a)
Interpretation:
The following operation (a) (7.87 × 104) (9.26 × 10-8) is to be completed.
Concept introduction:
An operation is 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.

Answer to Problem 5E
The solution for the following operation (a) (7.87 × 104) (9.26 × 10-8) is 7.29 × 10-3
Explanation of Solution
The term 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 rearrangement the values, we get
Thus, the solution to the following operation (a) (7.87 × 104) (9.26 × 10-8) is completed.
(b)
Interpretation:
The following operation (b) (5.67 × 10-6) (9.05 ×10-7) is to be completed.
Concept introduction:
An operation is 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.

Answer to Problem 5E
The solution for the following operation (b) (5.67 × 10-6) (9.05 ×10-7) is 5.13 × 10-12
Explanation of Solution
The term 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
Thus, the solution to the following operation (b) (5.67 × 10-6) (9.05 × 10-7) is completed.
(c)
Interpretation:
The following operation (c) (309) (9.64 × 106) is to be completed.
Concept introduction:
An operation is 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.

Answer to Problem 5E
The solution for the following operation (c) (309) (9.64 × 106) is 2.98 × 109
Explanation of Solution
The term 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
Thus, the solution to the following operation (c) (309) (9.64 × 106) is completed.
(d)
Interpretation:
The following operation (d) (4.07 × 103) (8.04 × 10-8) (1.23 × 10-2) is to be completed.
Concept introduction:
An operation is 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.

Answer to Problem 5E
The solution for the following operation (d) (4.07 × 103) (8.04 × 10-8) (1.23 × 10-2) is 4.02 × 10-6
Explanation of Solution
The term 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
Thus, the solution to the following operation (d) (4.07 × 103) (8.04 × 10-8) (1.23 × 10-2) is completed.
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