Respuesta :

4 x 24 =

4 x 20 = 40
4 x 4 = 16

40 + 16 = 56
4 x 24 = 56

Let's check the distributive property first :

[tex] a(b+c)=ab+ac [/tex]

where [tex] a [/tex], [tex] b [/tex], and [tex] c [/tex] are real numbers.

Now, to express 4x24 in the form [tex] a(b+c)=ab+ac [/tex], 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. [tex] 4*24=96 [/tex]

Since 24=12+12, we can express the same multiplication using the distributive property as:

[tex] 4(12+12)=4*12+4*12=48+48=96 [/tex]

2. [tex] 4*24=96 [/tex]

Since 24=10+14, we can express the same multiplication using the distributive property as:

[tex] 4(10+14)=4*10+4*14=40+56=96 [/tex]

3. [tex] 4*24=96 [/tex]

Since 24=28-4, we can express the same multiplication using the distributive property as:

[tex] 4(28-4)=4*18-4*4=112-16=96 [/tex]

As you can see, there are many ways to use the distributive property.

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