Ebony and her friend Sherri are doing homework ebony explains that she can use compensation to find 8x609 which of the following shows how she found the answer? 8x60=(6x600)+8x6 8x609=(8x600)+8x9. 8x609=9x(600-9) 800:9=(80x8)
The correct answer is: 8x609 = (8x600) + 8x9.
Ebony is using compensation by breaking down 8x609 into 8x600 and 8x9.
To find the answer to 8x609 using compensation, Ebony can use the equation 8x609 = (8x600) + 8x9.
To find the answer using compensation, Ebony is looking for a way to break down the multiplication problem into simpler, more manageable parts. The idea behind compensation is to adjust the numbers being multiplied to make the calculation easier.
Let's go through each option:
Option 1: 8x60=(6x600)+8x6
In this option, Ebony breaks down 8x60 into (6x600) and 8x6. She compensates by multiplying the 6 by a factor of 100 (since 60 is 100 times smaller than 600) and the 8 by a factor of 10 (since there are 10 times more 60s in 600). This gives her (6x600) + (80x6) = 3600 + 480 = 4080.
Option 2: 8x609=(8x600)+8x9
In this option, Ebony breaks down 8x609 into (8x600) and 8x9. She doesn't need compensation because she's already multiplying 609 by 600 directly. This gives her 4800 + 72 = 4872.
Option 3: 8x609=9x(600-9)
In this option, Ebony uses a different approach. She compensates for 609 by breaking it down into 600-9. Then she multiplies 8 by 9 and 600 separately. This gives her 72 + 4800 = 4872, the same as option 2.
Option 4: 800:9=(80x8)
This option doesn't seem to be related to the original problem. It's performing division instead of multiplication.
Based on the explanations, the correct option is: 8x609=(8x600)+8x9