The distributive property states that the product of two or more variables is equal to the sum of the effects of each variable with each other variable.
When you learn how to multiply, you can bear everything. In math, you multiply by multiplying.
Let’s take a look at the distributive property of multiplication.
A quick note before we get started: The distributive property is only one of two distributive properties of multiplication. The other distributive property is called the commutative property of multiplication.
The commutative property of multiplication states that multiplying numbers from left to right is the same as multiplying them from right to left.
So let’s look at how to multiply using the distributive property of multiplication.
Multiplication is often taught in school as being so simple that someone is learning multiplication without understanding how it works is impossible. This is because accumulation is so important. For example, in a store where you buy something for $20, the storekeeper might give you back $10. The storekeeper can give you about half the money, which is $5. To do this, the storekeeper must multiply $20 by half.
properties of multiplication
Let’s take a look at the distributive property of multiplication.
A quick note before we get started: The distributive property is only one of two distributive properties of multiplication. The other distributive property is called the commutative property of multiplication.
Multiplication of floating point numbers
When doing a large multiplication, the distributive property of multiplication can help you save time.
Let’s say you’re trying to figure out how much you owe on a credit card statement. You can multiply every single number on the information to determine the total. But you can use the distributive property of multiplication to reproduce all those numbers in one fell swoop quickly.
Multiplication of real numbers
The distributive property is the most useful when multiplying numbers with different units.
Let’s take a look at an example:
5 pounds of apples = 1 pound of apples
5 pounds of apples = 2 pounds of apples
Multiply the two values together:
10 pounds of apples = 10 pounds of apples
10 pounds of apples = 20 pounds of apples
You can see that the result is 20 pounds.
But what if you’re multiplying pounds of apples with pounds of apples?
5 pounds of apples = 5 pounds of apples
5 pounds of apples = 5 pounds of apples
Multiply the two values together:
10 pounds of apples = 10 pounds of apples
10 pounds of apples = 10 pounds of apples
You can see that the result is 10 pounds.
In other words, multiplying a number by itself is the same as multiplying it by 1.
Now let’s look at how to multiply using the distributive property of multiplication.
H2: Multiplication of integers
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Multiplication of integers
The distributive property is the most useful when multiplying integers.
Let’s take a look at an example:
5 pounds of apples = 1 pound of apples
5 pounds of apples = 2 pounds of apples
Multiply the two values together:
10 pounds of apples = 10 pounds of apples
10 pounds of apples = 20 pounds of apples
You can see that the result is 20 pounds.
But what if you’re multiplying pounds of apples with pounds of apples?
5 pounds of apples = 5 pounds of apples
5 pounds of apples = 5 pounds of apples
Multiply the two values together:
10 pounds of apples = 10 pounds of apples
10 pounds of apples = 10 pounds of apples
You can see that the result is 10 pounds.
In other words, multiplying a number by itself is the same as multiplying it by 1.
Multiplication of complex numbers
I will show you how to multiply a couple of complex numbers to demonstrate the distributive property of multiplication.
The complex number comprises two real numbers, the real part, and the imaginary part. The real part is the part that represents the distance between the real and imaginary axis.
The imaginary part is the distance between the positive and negative real axis.
The distributive property of multiplication states that you can multiply any two numbers together and then distribute the product over the two numbers.
Fequently asked questions about distributive property in multiplication
Q: What is the distributive property?
A: The distributive property is where you can multiply one whole number by another whole number or an integer or fraction and remain a whole number, a fraction, or an integer. For example, 8×4=32; 8+7+1=16; 3/2×5=15;
Q: What are examples of this?
A: 8×9=72, 8+7+1=16, 3/2×5=15, 9×3=27
Q: If you were multiplying 7×3, what would the answer be?
A: 42
Q: Why?
A: It is easy to multiply 7×3. The answer is 42
Q: Why is the distributive property used with multiplication?
A: When multiplying numbers, there’s a very common situation where you multiply a number times one and a fraction times one. Say we want to multiply 6×1.5. In this case, we would take the six first and multiply it by 1.5, which gives us 9×1.5=15. Then we add the two numbers together and multiply by one-half. This will provide us with 15+2=17, which is the answer.
Top myths about distributive property in multiplication
- Distributive Property in Multiplication:
- The distributive property states that:
- In algebra, if you multiply two fractions together, you must divide both sides by the same fraction.
Conclusion
It may seem a little daunting at first, but you will get the hang of it quickly. Once you start using it, you’ll wonder how you ever did math without it.
To make sure you understand it correctly, here is a short example.
Multiply 9 and 3, and then add 6.
The answer is 18.
The Distributive Property allows you to distribute the product into its two factors.
This means that you can treat them as individual terms.
You can do this by multiplying each term individually.
So, you can multiply 9 and 3 individually and then add 6.
The answer would be 27.
You can also do the reverse.
This is multiplying the individual numbers and then adding the two products together.
The answer is 18.
