Jawaban:

The form of the product of 6 × 37 using the distributive property is

= 6 × (30 + 7)

= (6 × 30) + (6 × 7)

= 180 + 42

= 222

Discussion

Using Distributive Properties in Multiplication

There are many quick and easy ways to solve a math problem, including:

1) Commutative (exchange)

What is meant by commutative is to change or reverse the position of a number. Commutative only applies to addition and multiplication because in the process of multiplication and addition, even though the place is exchanged or reversed, the result remains the same.

So, a × b is the same as b × a. Likewise a + b the result is the same as b + a.

2) Associative (grouping)

What is meant by associative is to group the counting process.

(a × b) × c = a x (b × c)

(a + b) + c = a + (b + c)

Just like commutative, associative also only applies to multiplication and addition.

3) Distributive (spread)

What is meant by distributive is to describe the form of multiplication into the form of addition or subtraction.

a × (b + c) = (a × b) + (a × c)

Well, on this occasion we will discuss problems related to the distributive property of multiplication.

Is known :

Multiply 6 × 37

Asked:

Solve with the distributive propertySolution:

First, the tens and ones in the number 37 are converted to addition form.

6 × (30 + 7)

Next, the tens and ones are multiplied by 6.

(6×30) + (6×7)

Then look for the results of the multiplication and the results are added up

= 180 + 42

=

= 6 × (30 + 7)

= (6 × 30) + (6 × 7)

= 180 + 42

= 222

Penjelasan dengan langkah-langkah:

sorry if wrong(•‿•)