135÷5, draw two different ways to break apart the array . use the distributive property to write products for each different way.?
1 way is (100 divide by 5) +(35 divide by 5)
2 way is (50 divide by 5) + (85 divide by 5)
Answer and Explanation:
Given : Expression \(135\div 5\)
To find : Draw two different ways to break apart the array. Use the distributive property to write products for each different way ?
Solution :
Distributive property, \((a*b)*c=(a*c)*(b*c)\)
Where, * is the symbol of addition, subtraction, multiplication and division.
To draw two different ways to break apart the array are
1) Break 135 as 100+35
So, \(135\div 5=(100+35)\div 5\)
\(135\div 5=100\div 5+35\div 5\)
\(135\div 5=20+7\)
\(135\div 5=27\)
2) Break 135 as 120+15
So, \(135\div 5=(120+15)\div 5\)
\(135\div 5=120\div 5+15\div 5\)
\(135\div 5=24+3\)
\(135\div 5=27\)