Question

rashid and megan will make 8 costumes for the play. they need 6 buttons for each costume. do they need an odd or an even number of buttons? explain your answer.

how many buttons will they need?

Explanation:

Part 1: Odd or Even Number of Buttons

To determine if the total number of buttons is odd or even, we first find the total number of buttons by multiplying the number of costumes (8) by the number of buttons per costume (6), which is \(8\times6 = 48\). An even number is divisible by 2, and \(48\div2 = 24\) with no remainder, so 48 is even. Also, the product of two even numbers (8 and 6 are both even) is always even.

Step1: Identify the values

Number of costumes = 8, Buttons per costume = 6.

Step2: Calculate total buttons

Total buttons = Number of costumes \(\times\) Buttons per costume = \(8\times6\)
\(8\times6 = 48\)

Answer:

They need an even number of buttons. Because the total number of buttons is \(8\times6 = 48\), and 48 is divisible by 2 (an even number), or since both 8 and 6 are even, their product is even.

Part 2: Number of Buttons Needed