Answer
Verified
424.2k+ views
Hint: Here, we will evaluate the given integers. We will use the properties of integers and then the given arithmetic operation of multiplication to evaluate for the given integers. Multiplication is the process of repeated addition.
Complete Step by Step Solution:
We are given the following to evaluate the given integers.
(i) $4 \times 6 \times 8$
We know that the product of two positive integers is a positive integer.
Now, by multiplying the first two integers, we get
$ \Rightarrow 4 \times 6 \times 8 = 24 \times 8$
We know that the product of two positive integers is a positive integer.
Now, by multiplying the integers, we get
$ \Rightarrow 24 \times 8 = 192$
Thus, the product of 4, 6, 8 is 192.
(ii) $\left( { - 4} \right) \times 6 \times 8$
We know that the product of a negative integer and a positive integer is a negative integer.
Now, by multiplying the first two integers, we get
$ \Rightarrow \left( { - 4} \right) \times 6 \times 8 = \left( { - 24} \right) \times 8$
We know that the product of a negative integer and a positive integer is a negative integer.
Now, by multiplying the integers, we get
$ \Rightarrow \left( { - 24} \right) \times 8 = \left( { - 192} \right)$
Thus, the product of $ - 4$ , 6, 8 is $ - 192$.
(iii) $\left( { - 4} \right) \times 6 \times \left( { - 8} \right)$
We know that the product of a negative integer and a positive integer is a negative integer.
Now, by multiplying the first two integers, we get
$ \Rightarrow \left( { - 4} \right) \times 6 \times \left( { - 8} \right) = \left( { - 24} \right) \times \left( { - 8} \right)$
We know that the product of a negative integer and a negative integer is a positive integer. Now, by multiplying the integers, we get
$ \Rightarrow \left( { - 24} \right) \times \left( { - 8} \right) = 192$
Thus, the product of $ - 4$ , 6, $ - 8$ is 192.
Therefore, the product of 4, 6, 8 is 192, the product of $ - 4$ , 6, 8 is $ - 192$ and the product of $ - 4$ , 6, $ - 8$ is 192.
Note:
We know that the arithmetic operation of Multiplication is the repeated addition of equal groups. The properties of integers is that the product of two positive integers is always a positive integer, the product of two negative integers is always a positive integer and the product of a positive integer and a negative integer is always a negative integer. Thus the properties of integers is always used in finding the product of two integers with the like signs or unlike signs.
Complete Step by Step Solution:
We are given the following to evaluate the given integers.
(i) $4 \times 6 \times 8$
We know that the product of two positive integers is a positive integer.
Now, by multiplying the first two integers, we get
$ \Rightarrow 4 \times 6 \times 8 = 24 \times 8$
We know that the product of two positive integers is a positive integer.
Now, by multiplying the integers, we get
$ \Rightarrow 24 \times 8 = 192$
Thus, the product of 4, 6, 8 is 192.
(ii) $\left( { - 4} \right) \times 6 \times 8$
We know that the product of a negative integer and a positive integer is a negative integer.
Now, by multiplying the first two integers, we get
$ \Rightarrow \left( { - 4} \right) \times 6 \times 8 = \left( { - 24} \right) \times 8$
We know that the product of a negative integer and a positive integer is a negative integer.
Now, by multiplying the integers, we get
$ \Rightarrow \left( { - 24} \right) \times 8 = \left( { - 192} \right)$
Thus, the product of $ - 4$ , 6, 8 is $ - 192$.
(iii) $\left( { - 4} \right) \times 6 \times \left( { - 8} \right)$
We know that the product of a negative integer and a positive integer is a negative integer.
Now, by multiplying the first two integers, we get
$ \Rightarrow \left( { - 4} \right) \times 6 \times \left( { - 8} \right) = \left( { - 24} \right) \times \left( { - 8} \right)$
We know that the product of a negative integer and a negative integer is a positive integer. Now, by multiplying the integers, we get
$ \Rightarrow \left( { - 24} \right) \times \left( { - 8} \right) = 192$
Thus, the product of $ - 4$ , 6, $ - 8$ is 192.
Therefore, the product of 4, 6, 8 is 192, the product of $ - 4$ , 6, 8 is $ - 192$ and the product of $ - 4$ , 6, $ - 8$ is 192.
Note:
We know that the arithmetic operation of Multiplication is the repeated addition of equal groups. The properties of integers is that the product of two positive integers is always a positive integer, the product of two negative integers is always a positive integer and the product of a positive integer and a negative integer is always a negative integer. Thus the properties of integers is always used in finding the product of two integers with the like signs or unlike signs.
Recently Updated Pages
Identify the feminine gender noun from the given sentence class 10 english CBSE
Your club organized a blood donation camp in your city class 10 english CBSE
Choose the correct meaning of the idiomphrase from class 10 english CBSE
Identify the neuter gender noun from the given sentence class 10 english CBSE
Choose the word which best expresses the meaning of class 10 english CBSE
Choose the word which is closest to the opposite in class 10 english CBSE
Trending doubts
A rainbow has circular shape because A The earth is class 11 physics CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Change the following sentences into negative and interrogative class 10 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE