Examples with solutions for Associative Property: By multiplication only

Exercise #1

7×5×2= 7\times5\times2=

Video Solution

Step-by-Step Solution

According to the rules of the order of operations, you can use the substitution property and start the exercise from right to left to comfortably calculate:

5×2=10 5\times2=10

7×10=70 7\times10=70

Answer

70

Exercise #2

3×5×4= 3\times5\times4=

Video Solution

Step-by-Step Solution

According to the order of operations, we must solve the exercise from left to right.

But, this can leave us with awkward or complicated numbers to calculate.

Since the entire exercise is a multiplication, you can use the associative property to reorganize the exercise:

3*5*4=

We will start by calculating the second exercise, so we will mark it with parentheses:

3*(5*4)=

3*(20)=

Now, we can easily solve the rest of the exercise:

3*20=60

Answer

60

Exercise #3

12×5×6= 12\times5\times6=

Video Solution

Step-by-Step Solution

According to the rules of the order of operations, we solve the exercise from left to right:

12×5=60 12\times5=60

60×6=360 60\times6=360

Answer

360

Exercise #4

35×6×2= 35\times6\times2=

Video Solution

Step-by-Step Solution

According to the rules of the order of operations, you can use the substitution property and organize the exercise in a more convenient way to calculate:

35×2×6= 35\times2\times6=

We solve the exercise from left to right:

35×2=70 35\times2=70

70×2=140 70\times2=140

Answer

420

Exercise #5

356×556×13x= 3\frac{5}{6}\times5\frac{5}{6}\times\frac{1}{3}x=

Video Solution

Step-by-Step Solution

First, let's convert all mixed fractions to simple fractions:

3×6+56×5×6+56×13x= \frac{3\times6+5}{6}\times\frac{5\times6+5}{6}\times\frac{1}{3}x=

Let's solve the exercises with the eight fractions:

18+56×30+56×13x= \frac{18+5}{6}\times\frac{30+5}{6}\times\frac{1}{3}x=

236×356×13x= \frac{23}{6}\times\frac{35}{6}\times\frac{1}{3}x=

Since the exercise only involves multiplication, we'll combine all the numerators and denominators:

23×356×6×3x=805108x \frac{23\times35}{6\times6\times3}x=\frac{805}{108}x

Answer

805108x \frac{805}{108}x

Exercise #6

11x×5×6= 11x\times5\times6=

Video Solution

Answer

330x 330x

Exercise #7

2x×4.65×6.3= 2x\times4.65\times6.3=

Video Solution

Answer

58.59x 58.59x

Exercise #8

15.6×5.2x×0.3= 15.6\times5.2x\times0.3=

Video Solution

Answer

24.336x 24.336x