# Product Between One-Half and One

**Work Time**

# Product Between One-Half and One

1. The product of 2 and some number *a* is between $\frac{1}{2}$ and 1.

$2a>\frac{1}{2}$

and $2a<1$

a. What number does *a* have to be less than? Justify your answer mathematically.

b. What number does *a* have to be greater than? Justify your answer mathematically.

c. Write three possible values for *a*.

2. The product of –2 and some number *b* is between $\frac{1}{2}$ and 1.

a. What number does *b* have to be less than? Justify your answer mathematically.

b. What number does *b* have to be greater than? Justify your answer mathematically.

c. Write three possible values for *b*.