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It is usually applied in arithmetic to simplify multiplication.

For example, find the value of 9*46.

Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property:

9 * 46 = 9*(40 + 6)

= 9*40 + 9*6 [That's the step where the distributive property was used]

and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56

Thus 9 * 46 = 360 + 56 = 416.

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Is its possible to use the distributive property to rewrite 85 99 as a product of a whole number greater than 1 and a sum of two whole numbers?

No.


Is it possible to use the distributive property to rewrite 85 plus 99 as a product of a whole number greater than 1 and a sum of two whole numbers?

No, it is not.


What is does the distributive property combine and to make multiplying whole numbers simpler?

The distributive property combines addition and multiplication, allowing you to break down larger numbers into smaller, more manageable parts. For example, instead of calculating (7 \times 26) directly, you can use (7 \times (20 + 6)) to simplify the process to (7 \times 20 + 7 \times 6), making the multiplication easier. This property helps in mental math and simplifies calculations, particularly with larger numbers.


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Similarities: the sum does not depend on which number you start with (distributive)Differences: you must find a common denominator for the fractions (whole numbers have a common denominator [1]


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Commutative property: a + b = b + a; example: 4 + 3 = 3 + 4 Associative property: (a + b) + c = a + (b + c); example: (1 + 2) + 3 = 1 + (2 + 3) Closure property: The sum of two numbers of certain sets is again a number of the set. All of the above apply similarly to addition of fractions, addition of real numbers, and multiplication of whole numbers, fractions, or real numbers.

Related Questions

What is the awnser toThe distributive property combines blank and blank to make multiplying whole numbers eaiser?

The distributive property combines addition and multiplication to make multiplying whole numbers easier. This property states that for any three numbers a, b, and c, a x (b + c) = a x b + a x c. By applying the distributive property, we can break down complex multiplication problems into simpler steps, ultimately making calculations more manageable and efficient.


Is its possible to use the distributive property to rewrite 85 99 as a product of a whole number greater than 1 and a sum of two whole numbers?

No.


Is it possible to use the distributive property to rewrite 85 plus 99 as a product of a whole number greater than 1 and a sum of two whole numbers?

No, it is not.


What is does the distributive property combine and to make multiplying whole numbers simpler?

The distributive property combines addition and multiplication, allowing you to break down larger numbers into smaller, more manageable parts. For example, instead of calculating (7 \times 26) directly, you can use (7 \times (20 + 6)) to simplify the process to (7 \times 20 + 7 \times 6), making the multiplication easier. This property helps in mental math and simplifies calculations, particularly with larger numbers.


Can you explain the distributive property please?

The distributive property is important because it combines both addition and multiplication. This property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. For example:3(2 + 5) = 3 x 2 + 3 x 53(7) = 6 + 1521 = 21if we let a, b, and c be any whole numbers, thena(b + c) = ab + ac


How is adding fractions like adding whole numbers... How is it different?

Similarities: the sum does not depend on which number you start with (distributive)Differences: you must find a common denominator for the fractions (whole numbers have a common denominator [1]


Division of whole numbers is associative?

No it is not an associative property.


Is the density property true for whole numbers?

yes


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Is the Density Property true for whole numbers Explain?

yes


What goes in 31.5 and 9?

Factors apply to whole numbers, not decimals.


What are commutative propertyassociative property and closure propety?

Commutative property: a + b = b + a; example: 4 + 3 = 3 + 4 Associative property: (a + b) + c = a + (b + c); example: (1 + 2) + 3 = 1 + (2 + 3) Closure property: The sum of two numbers of certain sets is again a number of the set. All of the above apply similarly to addition of fractions, addition of real numbers, and multiplication of whole numbers, fractions, or real numbers.