Simone examined the pattern in the table. Powers of 10
Value
10 Superscript 1
10
10 Superscript 0
1
10 Superscript negative 1
StartFraction 1 Over 10 EndFraction
10 Superscript negative 2
StartFraction 1 Over 100 EndFraction
10 Superscript negative 3
StartFraction 1 Over 1000 EndFraction
10 Superscript negative 4
StartFraction 1 Over 10,000 EndFraction

Based on the pattern, which power of 10 would have a value of StartFraction 1 Over 1,000,000 EndFraction?
10 Superscript negative 6
10 Superscript negative 5
10 Superscript 5
10 Superscript 6

What is the value of x in the this question ?

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?

Find the area of the unshaded square