Question

$\frac{40}{} \\ 2 \sqrt{10 + \sqrt{20 + \sqrt{40 - 2 \sqrt{5 - \sqrt{80} } } } }$
Evaluate The Following​

Answer 1

$\huge \star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}} \star$

Since many of the campers were happy to think about the quantity of watermelons using the algorithm in Shannon’s explanation, we thought we would pause here and push on the idea of equivalent representations. [We much preferred thinking of the watermelons as 3 groups of 1—written as 3 x 4/4.]

This provoked lots of conversation on how come we can do this.

How does the image show (4 x 3/4) = (3 x 4/4)?

How does the picture show Shannon’s equation: (4 x 3/4) + (4 x 1/2) = 5?

The third way that surfaced was to simply add all the pieces of the watermelons visible in the photo. We recorded it like this: ¾ + ½ + ¾ + ½ +¾ + ½ + ¾ + ½

Answer 2

Since many of the campers were happy to think about the quantity of watermelons using the algorithm in Shannon’s explanation, we thought we would pause here and push on the idea of equivalent representations. [We much preferred thinking of the watermelons as 3 groups of 1—written as 3 x 4/4.]

This provoked lots of conversation on how come we can do this.

How does the image show (4 x 3/4) = (3 x 4/4)?

How does the picture show Shannon’s equation: (4 x 3/4) + (4 x 1/2) = 5?

The third way that surfaced was to simply add all the pieces of the watermelons visible in the photo. We recorded it like this: ¾ + ½ + ¾ + ½ +¾ + ½ + ¾ + ½