The distributive property of multiplication allows us to break down the highest term of the exercise into a smaller number. This simplifies the multiplication operation and we can solve the exercise without the need to use a calculator.
The distributive property of multiplication allows us to break down the highest term of the exercise into a smaller number. This simplifies the multiplication operation and we can solve the exercise without the need to use a calculator.
Let's assume we have an exercise with a multiplication that is simple, but with large numbers, for example:
Thanks to the distributive property, we can break it down into simpler exercises:
+
+
=
Solve the exercise:
84:4=
Assignment:
Solution:
We break down into numbers divisible by
We arrange the exercise into simple fractions
We divide accordingly
Answer:
Solve the following exercise
?=24:12
Solve the following exercise
?=93:3
\( 94+72= \)
Assignment:
What expression is equivalent to the exercise ?
Solution:
We break down the exercise into 2 multiplication operations to facilitate the calculation
Answer:
Then subtract 3
Assignment:
Solution:
First, we multiply the element inside the parentheses by
To facilitate the calculation, we break down into numbers and the rest of the exercise can be multiplied
First, we solve the parentheses
Now we add and subtract accordingly
Answer:
\( 63-36= \)
\( 143-43= \)
\( 133+30= \)
Assignment:
Solution:
We break down into numbers to make the calculation easier
We solve the exercise accordingly
Answer:
Assignment:
Solution:
We break down into numbers to make the calculation easier
We solve the exercise accordingly
Answer:
\( 140-70= \)
\( 17\times7= \)
\( 13\times8= \)
The distributive property of multiplication over addition or subtraction is the property that helps us simplify and more easily carry out an operation where it is expressed with grouping symbols and related to the order of operations. We can express it as:
Distributive property of multiplication over addition.
Distributive property of multiplication over subtraction.
Just like the distributive property of multiplication, the distributive property of division with respect to addition and subtraction helps us to simplify an operation, and it can be expressed as:
\( 186:6= \)
\( 88:4= \)
\( 72:6= \)
P
Assignment
Answer
Assignment
We can break down in the following way:
We apply the distributive property of multiplication
Answer
Assignment
Applying the distributive property of division
Result
Assignment
We break down the into two numbers
We apply the distributive law of division with respect to subtraction
Answer
\( 93:3= \)
\( 3\times36= \)
Solve the exercise:
84:4=