USING THE MANUFACTURING TERMS BELOW , TELL HOW MANY DOZEN IN A GREAT GROSS. HOW MANY GROSS ARE IN A GREAT GROSS ?
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1 DOZEN = 12^1 ITEMS
1 GROSS = 12^2 ITEMS
1 GREAT GROSS = 12^3 ITEMS
144 dozens in a great gross
12 gross in a great gross
600
To determine how many dozen are in a great gross, we need to understand the relationship between these manufacturing terms.
Let's start with the definition of each term:
1 dozen = 12^1 items: A dozen refers to 12 items. It is a grouping measurement commonly used in manufacturing.
1 gross = 12^2 items: A gross refers to 12 multiplied by 12, which equals 144 items. It is a measurement used when dealing with larger quantities.
1 great gross = 12^3 items: A great gross refers to 12 multiplied by 12 multiplied by 12, which equals 1,728 items. It represents an even larger quantity.
Now, to find out how many dozen are in a great gross, we divide the total number of items in a great gross by the number of items in a dozen.
1 great gross = 12^3 items = 1,728 items
1 dozen = 12^1 items = 12 items
Dividing the total number of items in a great gross (1,728) by the number of items in a dozen (12), we get:
1,728 ÷ 12 = 144 dozen
Therefore, there are 144 dozen in a great gross.
Next, let's determine how many gross are in a great gross.
To find out, we divide the total number of items in a great gross (1,728) by the number of items in a gross (144).
1 great gross = 12^3 items = 1,728 items
1 gross = 12^2 items = 144 items
Dividing the total number of items in a great gross (1,728) by the number of items in a gross (144), we get:
1,728 ÷ 144 = 12 gross
Therefore, there are 12 gross in a great gross.