Yes. This is called the distributive property. For example:
a(1 + 2 + 3 + ... + n) = 1a + 2a + 3a ... + na
The distributive property of multiplication over addition.
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by multiplying the denominator with the whole number and adding the numerator. the denominator will remain the same.
Multiplying by two is the same thing as adding the number to itsself again. 2 (4) = 4 + 4
That's the distributive property.
Distributive property
The answer is the distributive property
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.
Multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
The distributive property of multiplication over addition.
by adding, subtracting, dividing, and multiplying.
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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.
2. multiplying 2 and 2 is the same as adding 2 and 2.
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