Question

The product of three integers is – 600. If two of them are 15 and 10, find the third integer
with steps​

Answer 1

Answer:

$\sf x = - 4$

Step-by-step explanation:

Given:-

$\sf \: 15 \times 10 \times x = - 600$

Process:-

$\sf \implies \: 150 \times x = - 600$

$\sf \: \implies \: x = \frac{ \cancel{ - 600 }}{ \cancel {150}} = > - 4$

$\sf \: \implies \: x = - 4$

Verification:-

$\sf \: 15 \times 10 \times -4 = - 600$

Answer 2

Answer:

Question :

The product of three integers is – 600. If two of them are 15 and 10, find the third integer.

$\begin{gathered}\end{gathered}$

Given :

• ➠ Product of three integers = -600
• ➠ First integer = 15
• ➠ Second integer = 10

$\begin{gathered}\end{gathered}$

To Find :

• ➠ Third integer

$\begin{gathered}\end{gathered}$

Solution :

$\red\bigstar$ Here,

• ➠ Let the third integer be “x”.

$\rule{200}2$

$\red\bigstar$ According to the question,

${\dashrightarrow{\sf{Product \: of \: three \: integers = - 600}}}$

${\dashrightarrow{\sf{15 \times 10 \times x = - 600}}}$

${\dashrightarrow{\sf{150 \times x = - 600}}}$

${\dashrightarrow{\sf{150x = - 600}}}$

${\dashrightarrow{\sf{x = \dfrac{ - 600}{150} }}}$

${\dashrightarrow{\sf{x = \cancel{\dfrac{ - 600}{150}}}}}$

${\dashrightarrow{\sf{x = - 4}}}$

$\bigstar \: {\underline{\boxed{\sf{\pink{Third \: integer = - 4}}}}}$

Hence, the third integer is -4.

$\begin{gathered}\end{gathered}$

Vefication :

$\red\bigstar$ Let's check our answer,

${\dashrightarrow{\sf{Product \: of \: three \: integers = - 600}}}$

${\dashrightarrow{\sf{15 \times 10 \times - 4 = - 600}}}$

${\dashrightarrow{\sf{150\times - 4 = - 600}}}$

${\dashrightarrow{\sf{ - 600= - 600}}}$

$\bigstar \: {\underline{\boxed{\sf{\pink{LHS = RHS}}}}}$

Hence Verified!

$\begin{gathered}\end{gathered}$

Learn More :

Integer :

↝ An integer is a whole number from the set of negative, non-negative, and positive numbers. To be an integer, a number cannot be a decimal or a fraction.

$\rule{200}2$

Rule of integer formula :

↝ (1) Adding two positive integers (+) will always result in a positive integer (+).

↝ (2) Adding two negative integers (-) will always results in a negative integer (-).

↝ (3) Adding one positive (+) and one negative integers (-) will always result in

• => Positive number if positive number is greater
• => (2) Negative number if negative number is greater.

$\rule{200}2$

Types of integers :

1. Positive Integers: An integer is positive if it is greater than zero. Example: 1, 2, 3 . . .
2. Negative Integers: An integer is negative if it is less than zero. Example: -1, -2, -3 . . .
3. Zero is defined as neither negative nor positive integer. It is a whole number.

$\rule{200pt}{3pt}$