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Yes. This is called the distributive property. For example:

a(1 + 2 + 3 + ... + n) = 1a + 2a + 3a ... + na

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Q: Multiplying the sum by a number is the same as multiplying each added in the sum by the number and adding the prouducts?
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Related questions

I am the property that states that multiplying a song by a number is the same as multiplying each addend in the sum by the number and then adding the products?

That's the distributive property.


What property says that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the product?

Distributive property


What word means the property that states that multiplying sum by a number is the same as multiplying each addend in the sum by the number and then adding the products?

The answer is the distributive property


How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?

Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.


Distributive property of multiplication over addition?

Multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.


What is a property that states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products?

The distributive property of multiplication over addition.


Explain how to solve a whole-number equation?

by adding, subtracting, dividing, and multiplying.


What number where result of adding 6 or multiplying by 3 is the same?

9


What number where the result of adding 6 and multiplying by 3 is the same?

9


Distribute Property?

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.


Multiply a number by 2 to get the same as adding a?

2. multiplying 2 and 2 is the same as adding 2 and 2.


What is the distrubutive property?

The distrubutive property.... Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. EXAMPLE: 3x(2+4)=18 (3x2) + (3x4) = 18