Meaning of Open Sentence ( Primary School Algebra for Grade 4 )

Meaning of Open Sentence ( Primary School Algebra for Grade 4 )

Meaning of Open Sentence

An open sentence is a mathematical statement showing two equal expressions and containing a missing quantity to be found. The missing quantity is usually represented by an empty box, a blank line or a letter x.

Examples
a. 8 + ( _ ) =40
b. 85 - ( _ )=33
c. 4 × ( _ )=24
d. 1/4 of ( _ )=2

                                      

a. 8+( )=40, let ( ) be t
    8 + t   = 40

            t = 40-8
              t= 32
: . 8 + ( 32 ) = 40

b. 85-( )=33, let ( ) be x
  
85 - x = 33
   85 -33 = x
   52 = x
:.85-(52)=33


a. 8+( )=40, let ( ) be t
    8 + t   = 40

            t = 40-8
              t= 32
: . 8 + ( 32 ) = 40

b. 85-( )=33, let ( ) be x
  
85 - x = 33
   85 -33 = x
   52 = x
:.85-(52)=33

c. 4×( )=24 , let the ( ) be x
x = 24÷4
x = 6
: . 4 × (6) =24
 
d. 1/4 of ( )=2 , let ( ) be y

 1/4 × y = 2
             y = 2÷ 1/4 { 2×4/1}
             y = 8
: . 1/4 of (8) = 2   
    
For questions 1 to 4, find the missing number in each of the given open sentences.
1. 92 + 17=( )
2. 6 × ( )=18
3. 12 ÷ ( )=6
4. 44 - 42 =( )  


                                      Sponsor