Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Write the sum of the numbers as the product of their GCF and anothet sum. Problem: 56+64=?

Sagot :

AL2006
It looks like the first thing you have to find is their GCF, ya reckon ?

The factors of  56  are  1, 2, 4, 7, 8, 13, 28, and 56 .

The factors of  64  are  1, 2, 4, 8, 16, 32, and 64 .

The common factors are  1, 2, 4, and 8 .

The greatest one is  8 .

56/8 = 7
64/8 = 8

56  plus  64 = (8 times 7)  plus  (8 times 8)

56  plus  64 =  8 times (7 plus 8)    <== that's the answer

Check it out:

56  plus  64 = 120

8 times (7 plus 8) = 8 times 15 = 120    yay!    
calculista

we have

[tex] 56+64 [/tex]

Step [tex] 1 [/tex]

Find the GCF

we know that

[tex] 56=2^{3} *7\\ the \ factors\ are=1,2,4,7,8,14,28,56 [/tex]

[tex] 64=2^{6} \\ the \ factors\ are=1,2,4,8,16,32,64 [/tex]

[tex] The \ common\ factors\ are\ 1, 2, 4, and\ 8 \\ The\ GCF is\ 8 [/tex]

Step [tex] 2 [/tex]

we know that

[tex] \frac{56}{8} =7\\ \\ \frac{64}{8} =8 [/tex]

[tex] (56+64)=(8*7)+(8*8)\\ (56+64)=8*(7+8) [/tex]

therefore

the answer is

[tex] (56+64)=8*(7+8) [/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.