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Describe how you would use the Distributive Property to simplify (39 × 5).
The Distributive Property states that when multiplying a number by a sum or difference of two numbers, the number can be distributed to each of the two numbers being added or subtracted. In this case, we can use the Distributive Property to simplify (39 × 5) by breaking down the 5 into its factors, which are 5 and 1. We can then distribute the 39 to each of the factors, giving us 39 × 5 = (39 × 5) + (39 × 1). Simplifying further, we get 195 + 39 = 234. Therefore, (39 × 5) = 234.
To simplify the expression (39 × 5) using the distributive property, we can break down one of the numbers into its factors. The distributive property states that for any three numbers a, b, and c, the expression a × (b + c) is equal to (a × b) + (a × c).
In this case, we have the expression (39 × 5). Let's break down one of the numbers, 39, into its factors. We can write 39 as 30 + 9, since 30 and 9 are factors of 39.
Using the distributive property, we can now rewrite the expression as (30 + 9) × 5. Now, we can distribute the multiplication to each term inside the parentheses:
(30 × 5) + (9 × 5)
This simplifies to:
150 + 45
Finally, we can add the two terms together:
150 + 45 = 195
Therefore, using the distributive property, we can simplify the expression (39 × 5) to 195.
To simplify (39 × 5) using the Distributive Property, we can break down the multiplication problem into two parts.
First, we distribute the number 39 to both the 5 and the 10s place value:
(39 × 5) = (30 × 5) + (9 × 5)
Next, we calculate the values in each part:
(30 × 5) = 150
(9 × 5) = 45
Finally, we add the two parts together:
150 + 45 = 195
Therefore, the simplified form of (39 × 5) using the Distributive Property is 195.