Mammoth Memory

Common core multiplication - box method (grid method)

Common core multiplication

This method works by splitting each of the numbers into easy multiple sums.

Mnemonic depicting the common core multiplication method

Multiply your boxes by splitting them.

 

 If you can remember this for life it will always help tremendously

 

Example 1

`614times5`

Split `614` into easier numbers to multiply like `600` and `10` and `4`.

Put them into boxes

 

           
    `600`   `10`   `4`    
`5`   `3000`   `50`   `20`    
           

 

For step by step

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Common core multiplication method step by step

Example 1

`614times5`

               
    `600`   `10`   `4`     Write down `614` in split form.  
            i.e. `600` and `10` and `4`.  
               

 

               
    `600`   `10`   `4`        
`5`           Now write down the multiplier  
               

 

               
    `600`  `10`   `4`     Multiply `5` into all the top numbers.  
`5`   `3000`  `50`   `20`     `5xx600,` `5xx10,` and `5xx4`  
               

 

               
  Now add everything up in the boxes  
               
    `3` `0` `0` `0`    
        `5` `0`    
  `+`     `2` `0`    
    `3,` `0` `7` `0`    
               

 

 Answer: `615times5=3,070`

 

 

  `3000`  
  `50`  
`+` `20`  
  `3070`  
     

 

Answer: `614times5=3070`

 

Example 2

`56times552`

Split `56` into easier numbers to multiply like `50` and `6`.

Split `552` into easier numbers to multiply like `500` and `50` and `2`.

Put them into boxes

 

           
    `500`   `50`   `2`    
`50`     `25000`   `2500`   `100`    
`6`   `3000`   `300`   `12`    
           

 

For step by step

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Common core multiplication method step by step

Example 2

`56times552`

               
    `500`   `50`   `2`     Write down `552` in split form.  
            i.e. `500` and `50` and `2`.  
               

 

               
    `500`   `50`   `2`        
`50`           Now write down `56` in split form. 
`6`              
               

 

               
    `500`  `50`  `2`       
`50`   `25,000`  `2,500`  `100`    Multiply `50` into all the top numbers. 
`6`           `50xx500,` `50xx50,` `50xx2`   
               

 

               
    `500`  `50`  `2`       
`50`   `25,000`  `2,500`  `100`    Multiply `6` into all the top numbers. 
`6`   `3,000`  `30`  `12`    `6xx500,` `6xx50,` `6xx2`   
               

 

                 
  Now add everything up in the boxes  
                 
    `2` `5,` `0` `0` `0`    
      `3,`  `0` `0` `0`    
      `2,` `5` `0` `0`    
        `3` `0` `0`    
  `+`       `1` `2`    
    `3` `0,` `9` `1` `2`    
      `1`          
                 

 

 Answer: `56times52=30,912`

 

 

  `25000`  
  `3000`  
  `2500`  
  `300`  
  `100`  
`+` `12`  
  `30,912`  
     

 

Answer: `56times552=30,912`

 

Example 3

`27times31`

Split `27` into easier numbers to multiply like `20` and `7`.

Split `31` into easier numbers to multiply like `30` and `1`

Put them into boxes

 

           
    `20`   `7`      
`30`   `600`   `210`      
`1`   `20`   `7`      
           

 

For step by step

Press Here

Common core multiplication method step by step

Example 3

`27times31`

             
    `20`   `7`     Write down `27` in split form.  
          i.e. `20` and `7`.  
             

 

             
    `20`   `7`        
`30`         Now write down `31` in split form. 
`1`            
             

 

             
    `20`  `7`       
`30`   `600`  `210`    Multiply `30` into all the top numbers. 
`1`         `30xx20,` and `20xx7`   
             

 

             
    `20`  `7`       
`30`   `600`  `210`    Multiply `1` into all the top numbers. 
`1`   `20`  `7`    `1xx20,` and `1xx7`   
             

 

             
  Now add everything up in the boxes  
             
    `6` `0` `0`    
    `2` `1` `0`    
      `2` `0`    
  `+`     `7`    
    `8` `3` `7`    
             

 

 Answer: `27times31=837`

 

  `600`  
  `210`  
  `20`  
`+` `7`  
  `837`  
     

 

Answer: `27times31=837`

 

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