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Ex.1.1 Q9 Integers - NCERT Maths Class 7

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Question

Use the sign of \(<, > \) or \(=\) to make the statement true?

\(\begin{align} {\rm a.}\,  –8+(–4)   \;&\boxed{\;\;}\;  –8–(–4)\quad \\-8-4\quad&\boxed{\;\;} \quad -8+4\quad\\–12 \quad&\boxed{\lt} \quad –4 \end{align}\)

 

\[\begin{align}&A\left( {3,2} \right), \qquad\;\;\;\;\;\;\;\;\;\;\;\;B\left( { - 2,3} \right), \qquad\;\;\;\;\;\; C\left( {0,4} \right)\\&D\left( { - \frac{1}{2}, - \frac{3}{2}} \right), \qquad E\left( {\sqrt 2 , - \sqrt 2 } \right), \qquad F\left( {\pi ,0} \right) & \end{align}\]

a.\( (-8) + (–4)\)

\(\quad\boxed{\;\;}\)

      \( (–8) – (–4)\)

b. \((–3)+7–(19)\)

\(\quad\boxed{\;\;}\)

       \(15–8+(–9)\)

c. \(23–41+11\)

\(\quad\boxed{\;\;}\)

        \(23–41–11\)

d. \(39 + (–24) –(15)\)

\(\quad\boxed{\;\;}\)

       \( 36+ (– 52) – (–36)\)

e. \(–231+79+51\)

\(\quad\boxed{\;\;}\)

       \( –399+159+81\)

 

 Video Solution
Integers
Ex 1.1 | Question 9

Text Solution

What is known?

The statement.

What is unknown?

To find out which is greater than, smaller than or equal to.

Reasoning:

Add or Subtract the two values and after check the statement is <,>,or =

Steps:

\(\begin{align} {\rm a.}\,  –8+(–4)   \;&\boxed{\;\;}\;  –8–(–4)\quad \\-8-4\quad&\boxed{\;\;} \quad -8+4\quad\\–12 \quad&\boxed{\lt} \quad –4 \end{align}\)

\(\begin{align}{\rm b.}\;   –3+7–19\;&\boxed{\;\;}\;  15 –8 + (–9)\\–3+7–19\quad&\boxed{\;\;} \quad 15 –8 –9 \\4–19 \quad&\boxed{\;\;} \quad 7–9\\ –15 \quad&\boxed{\lt} \quad –2\\ \end{align}\)

\(\begin{align}{\rm c.}\;23–41+11 \;&\boxed{\;\;}\; 23 –41 –11  \\ –18+11\quad&\boxed{\;\;} \quad –18 –11 \\  -7\quad&\boxed{\gt} \quad -29 \\ \end{align}\)

\(\begin{align}{\rm d.}\; 39+(–24)–15 \;&\boxed{\;\;}\; 36 + (–52) – (–36)  \\39–24–15\quad&\boxed{\;\;} \quad 36–52+36 \\ 15-15\quad&\boxed{\;\;} \quad  -16 + 36\\0\quad&\boxed{\lt} \quad 20 \\ \end{align}\)

\(\begin{align} {\rm e.}\; –23 + 79 + 51 \;&\boxed{\;\;}\;  –399 + 159 + 81\quad \\ –152 + 51\quad&\boxed{\;\;} \quad –240+81\quad\\–101 \quad&\boxed{\gt} \quad –159 \end{align}\)

  
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