Let's check the distributive property first :
\(a(b+c)=ab+ac\)
where \(a\), \(b\), and \(c\) are real numbers.
Now, to express 4x24 in the form \(a(b+c)=ab+ac\), we just need to express 24 as a sum or subtraction.
Notice that we can express a 24 as a sum or subtraction in a number of ways:
1. 24-12=12, so 12+12=24
2. 24-10=14, so 10+14=24
3. 28-4=24, so 28-4=24
And so on...
Now let's use the distributive property:
1. \(4*24=96\)
Since 24=12+12, we can express the same multiplication using the distributive property as:
\(4(12+12)=4*12+4*12=48+48=96\)
2. \(4*24=96\)
Since 24=10+14, we can express the same multiplication using the distributive property as:
\(4(10+14)=4*10+4*14=40+56=96\)
3. \(4*24=96\)
Since 24=28-4, we can express the same multiplication using the distributive property as:
\(4(28-4)=4*18-4*4=112-16=96\)
As you can see, there are many ways to use the distributive property.
