Operations with Integers and Rational Numbers

Integer Operations

Today we will practice applying our knowledge of adding and subtracting integers.

After today's practice, you should be able to add and subtract integers fluently.

Go through the next three questions for your warm up.

Work the problems on your own paper and then select your answer.

Multiple Choice

$$\frac{6}{3}\ belongs\ in\ what\ classification\ ?$$  

• Whole Number, Integer, and Rational Number

• Integer and Rational Number

• Rational Number

Multiple Choice

Write the equivalent decimal and fraction of 25%

• $$\frac{2}{5},\ .25$$

• $$\frac{25}{100},\ 2.5$$

• $$\frac{1}{4},\ 2.5$$

• $$\frac{1}{4},\ .25$$

Multiple Choice

Order the rational numbers from greatest to least. $$\frac{1}{8},\ .26,\ 25\%,\ \frac{1}{5}$$  

• $$\frac{1}{8},\ \frac{1}{5},\ .26,\ 25\%$$  

• $$.26,\ 25\%,\ \frac{1}{5},\ \frac{1}{8}$$  

• $$.26,\ 25\%,\ \frac{1}{8},\ \frac{1}{5}$$  

Now it is time for you to practice ! Use your own paper to work out the problems and then select your answer.

• Make sure to understand any incorrect answers so you learn from your mistakes.

• Use the strategies we covered in the video

• Draw a model or picture to help you understand the problem

• Use integer operation rules

Multiple Choice

New Orleans is seven feet below sea level. If Houston is 88 feet higher than New Orleans, then what is the elevation of Houston?

• 95 feet

• 81 feet

Multiple Choice

At the beginning of the day, the temperature is -11 degrees. As the sun comes out, it warms to a high of 13 degrees. What is the difference in temperature throughout the day?

• 24 degrees

• 2 degrees

Multiple Choice

Taylor has $27 in his checking account. He then writes a check for $35. What is the balance of Taylor's bank account?

• -8

• 8

• 12

• -12

Multiple Choice

A scuba diver dove to 40 feet below the surface of the water. He then dove an additional 17 feet. What is the depth of the scuba diver?

• 23 feet below

• 57 feet below

• 33 feet below

Multiple Choice

A quarter back dropped back 5 yards behind the line of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel?

• 19 yards

• 11 yards

• 9 yards

Multiple Choice

During the first half of a football game, a running back ran for 9 total yards. In the second half, he ran for a loss of 12 yards. What was the running back's total yardage?

• gain of 21 yards

• gain of 3 yards

• loss of 3 yards

• loss of 17 yards