Question

Which expression is equivalent to 723⋅714?

Answer 1

516,822

Explanation:

To find the equivalent expression for 723 multiplied by 714, you can simply multiply these two numbers. The result is:

723 * 714 = 516,822

So, the equivalent expression is 516,822.

Answer 2

To find an expression equivalent to 723⋅714, we can simplify the multiplication by using various mathematical properties and operations.

First, let's break down the numbers into their prime factors:

723 = 3 × 241

714 = 2 × 3 × 7 × 17

Now, we can rewrite the expression as:

723⋅714 = (3 × 241) ⋅ (2 × 3 × 7 × 17)

Next, we can use the commutative property of multiplication to rearrange the factors:

(3 × 241) ⋅ (2 × 3 × 7 × 17) = (3 ⋅ 2) ⋅ (241 ⋅ 3 ⋅ 7 ⋅ 17)

Applying the associative property of multiplication, we can group the factors:

(3 ⋅ 2) ⋅ (241 ⋅ 3 ⋅ 7 ⋅ 17) = (3 ⋅ 2 ⋅ 3) ⋅ (241 ⋅ 7 ⋅ 17)

Now, let's simplify each group of factors:

(3 ⋅ 2 ⋅ 3) = (6 ⋅ 3) = 18

(241 ⋅ 7 ⋅ 17) = 28987

Therefore, the expression equivalent to 723⋅714 is 18⋅28987.

Explanation: