Question

Find each of the following product
$\left( -60 \right)\times \left( -10 \right)\times \left( -5 \right)\times \left( -1 \right)$

Answer 1

Hint: In the given question, we are supposed to find the result of the expression $\left( -60 \right)\times \left( -10 \right)\times \left( -5 \right)\times \left( -1 \right)$ . We start to solve the given question by multiplying the terms$\left( -60 \right)\times \left( -10 \right)$ and $\left( -5 \right)\times \left( -1 \right)$ . Then, we multiply the results of the multiplication of the two expressions $\left( -60 \right)\times \left( -10 \right)$ and $\left( -5 \right)\times \left( -1 \right)$ to get the desired result.

Complete step-by-step answer:
We are supposed to find the result of the expression $\left( -60 \right)\times \left( -10 \right)\times \left( -5 \right)\times \left( -1 \right)$ .We will be solving the given question using the rule of multiplication of integers.
According to the rule of multiplication of integers,
The multiplication of the four integers with the same sign is performed as follows,
Let $a,b,c,d\;$ be the four integers.
We need to find the value of the expression given by
 $\Rightarrow a\times b\times c\times d$
Applying the rule of multiplication of integers, we get,
$\Rightarrow \left( a\times b \right)\times \left( c\times d \right)$
Lastly, we have to multiply the results of the expressions $\left( a\times b \right)\text{ and }\left( c\times d \right)$ to get the value of the product of four integers.
According to our question,
We need to find the value of $\left( -60 \right)\times \left( -10 \right)\times \left( -5 \right)\times \left( -1 \right)$ .
From the above, we know that the value of the product can be found using the rule of multiplication of integers.
Applying the rule of multiplication of integers, we get,
$\Rightarrow \left( -60 \right)\times \left( -10 \right)\times \left( -5 \right)\times \left( -1 \right)=\left( \left( -60 \right)\times \left( -10 \right) \right)\times \left( \left( -5 \right)\times \left( -1 \right) \right)$
From the rules of arithmetic, we know that $\left( - \right)\times \left( - \right)=\left( + \right)$ .
Applying the same, we get,
$\Rightarrow \left( -60 \right)\times \left( -10 \right)\times \left( -5 \right)\times \left( -1 \right)=\left( 600 \right)\times \left( 5 \right)$
Multiplying the above expression, we get,
$\therefore \left( -60 \right)\times \left( -10 \right)\times \left( -5 \right)\times \left( -1 \right)=3000$

Note: We must remember the rules of multiplication given as follows,
1. The product of a positive integer and a negative integer is negative.
2. The product of a negative integer and a negative integer is positive.
3. The product of a negative integer and a positive integer is negative.