3.1 Introduction to integers  (Page 4/9)

Fill in $\text{<},\text{>},\text{or}=\text{for each of the following:}$

1. ⓐ $\left|\mathrm{-9}\right|\text{\_\_\_}-\left|\mathrm{-9}\right|$
2. ⓑ $2\_\_\_-\left|\mathrm{-2}\right|$
3. ⓒ $\mathrm{-8}\_\_\_\left|\mathrm{-8}\right|$
4. ⓓ $-\left|\mathrm{-5}\right|\text{\_\_\_}\mathrm{-5}$

Fill in $\text{<},\text{>},\text{or}=$ for each of the following:

1. ⓐ $7\text{\_\_\_}-\left|\mathrm{-7}\right|$
2. ⓑ $-\left|\mathrm{-11}\right|\text{\_\_\_}\mathrm{-11}$
3. ⓒ $\left|\mathrm{-4}\right|\text{\_\_\_}-\left|\mathrm{-4}\right|$
4. ⓓ $\mathrm{-1}\text{\_\_\_}\left|\mathrm{-1}\right|$

Simplify:

1. ⓐ $|12-9|$
2. ⓑ $3\left|\mathrm{-6}\right|$

Simplify:

1. ⓐ $|27-16|$
2. ⓑ $9\left|\mathrm{-7}\right|$

Simplify: $\left|1+8\right|-\left|2+5\right|$

Simplify: $\left|9\mathrm{-5}\right|-\left|7-6\right|$

Simplify: $19-\left|11-4(3-1)\right|$

Simplify: $9-\left|8-4(7-5)\right|$

Translate each phrase into an expression with integers:

1. ⓐ the opposite of positive nine
2. ⓑ the opposite of $\mathrm{-15}$
3. ⓒ negative twenty
4. ⓓ eleven minus negative four

Translate each phrase into an expression with integers:

1. ⓐ the opposite of
2. ⓑ the opposite of twenty-two
3. ⓒ negative nine
4. ⓓ negative eight minus negative five