Mei is playing a game with numbers. She decides to rewrite the number 78 using the Distributive Property. Which answer is a correct way to rewrite 78 using the Distributive Property of Multiplication over Addition
AAAaannndd the bot gets it wrong yet again!
7 × (10 + 8) = 70+56 ...
To rewrite the number 78 using the Distributive Property of Multiplication over Addition, we need to express 78 as the sum of two numbers being multiplied by a common factor.
The distributive property states that for any three numbers a, b, and c, the expression a * (b + c) can be expanded as a * b + a * c.
In this case, we want to find two numbers that we can factor out of the expression and distribute to obtain 78.
One way to do it is by using the factors of 78, which are 1, 2, 3, 6, 13, 26, 39, and 78. We can start with the factor pairs of 78 and see if we can rewrite it using the Distributive Property.
Let's try using the factor pair (13, 6). We can rewrite 78 as (13 * 6) + (13 * 1) = 78.
So, one correct way to rewrite 78 using the Distributive Property is 78 = (13 * 6) + (13 * 1).
7 × (10 + 8)
To rewrite the number 78 using the Distributive Property, we need to express it as the product of two numbers added together.
Let's break down 78 into its prime factors to help us rewrite it using the Distributive Property.
The prime factorization of 78 is:
78 = 2 * 3 * 13
Using the Distributive Property, we can rewrite 78 as:
78 = (2 * 3 * 13)
So, a correct way to rewrite 78 using the Distributive Property of Multiplication over Addition is:
78 = (2 * 3 * 13)