Reyna is finding the quotient of 15 + 3. Her work is shown below.
Which statements are true of Reyna's work? Check all
that apply.
OReyna solved the problem correctly.
OReyna also could have arranged the circles into 15
equal groups.
OReyna also could have arranged the circles into 5
equal groups of 3 tiles each.
OReyna also could have subtracted 3 from 15 until
reaching zero and then counted the number of
subtractions.
O Reyna's answer should have been 3.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

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