Jack said that if you take a number and multiply it by a fraction, the product will always be smaller than what you started with. is he correct? why or why not? explain your answer, and give at least two examples to support your thinking.

Is not correct. The product not always will be smaller.

Step-by-step explanation:

A fraction could increase a number if you multiply it.  

If the numerator is higher to the  denominator,  it will increase it.  

If the numerator is smaller to the  denominator,  it will decrease it.

For example,

10 x 4/3

For fraction multiplication, multiply the numerators and then multiply the denominators to get

10×4/1×3=40/3= 13,33

13,33 is higher than 10.

5 x 10/3

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5×10/1×3=50/3

16,66 is higher than 5.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.