Question

18(3+14) x 6(21+4)

With and without distributive property

Answer 1

With Distributive Property

18(3+14)(6)(21+4)
=(18)(17)(6)(21+4)
=(306)(6)(21+4)
=1836(21+4)
=(1836)(25)
=45900

Not sure how to do it without using the distributive property. Hope my first answer does you well though!

Answer 2

Without using the distributive property, follow order of operations, which means completing the operations that are inside the brackets first:

18(3+14) x 6(21+4)
=18(17) × 6(25)
=18 × 17 × 6 × 25
Since we have only multiplication left, the order in which it is done doesn't matter. Let's multiply 18 by 17 and 6 by 25:
=306 × 150
=45900

Answer 3

With the distributive property:

18(3+14) x 6(21+4)

so you would add the stuff in parenthesis

18(17) x 6(25)

and then you multiply 18 by 17 and 6 by 25

306 x 150 = ?

and then you solve for ?

Hope this helps! <3

Answer 4

[AI-generated answer — Explain Bot]

To solve the expression 18(3+14) x 6(21+4) with the distributive property, you need to distribute each term within the parentheses to the terms outside the parentheses and simplify. Without the distributive property, you can still simplify by solving the operations within the parentheses first and then proceed with the multiplication. Here are the step-by-step explanations for both methods:

Using the Distributive Property:

Step 1: Distribute the terms within the first parentheses to the terms outside.
18(3+14) x 6(21+4)
= 18(3) + 18(14) x 6(21) + 6(4)

Step 2: Simplify the operations within each set of parentheses.
= 18(3) + 18(14) x 6(21) + 6(4)
= 18(3) + 18(14) x 6(21) + 6(4)
= 54 + 252 x 126 + 24

Step 3: Continue simplifying by evaluating the multiplications.
= 54 + 252(126) + 24
= 54 + 31752 + 24

Step 4: Perform the addition.
= 31830

Therefore, the value of 18(3+14) x 6(21+4) using the distributive property is 31830.

Without the Distributive Property:

Step 1: Simplify the operations within each set of parentheses separately.
(3+14) = 17
(21+4) = 25

Step 2: Perform the multiplication between the simplified values.
17 x 25 = 425

Step 3: Apply the multiplication operation between the two sets of simplified parentheses.
18 x 6 = 108

Step 4: Multiply the result from Step 2 by the result from Step 3.
108 x 425 = 45900

Therefore, the value of 18(3+14) x 6(21+4) without using the distributive property is 45900.