Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the process of adding and subtracting decimals. It begins with an introduction to the importance of aligning decimal points and using placeholders for consistent digit alignment. The video provides several examples, including both addition and subtraction, and emphasizes the need to bring down the decimal point in the final answer. Practice problems and word problems are included to reinforce the concepts taught.

What is the first step when adding or subtracting decimals?

• Complete the addition or subtraction

• Insert zeros where necessary

• Round the numbers

• Line up the decimal points

In the example of adding 7.19 and 3.54, what is the sum?

• 10.73

• 10.19

• 10.93

• 10.54

When subtracting 6.407 and 2.190, what is the result?

• 4.197

• 4.215

• 4.217

• 4.207

What is the result of adding 47.63 and 23.496?

• 71.1260

• 71.136

• 71.1360

• 71.126

If you have 21 and subtract 16.83, what is the result?

• 4.07

• 4.37

• 4.17

• 4.27

In a word problem, if Song A is 4.2 minutes long and Song B is 3.8 minutes long, how much longer is Song A?

• 0.3 minutes

• 0.5 minutes

• 0.4 minutes

• 0.6 minutes

If KC deposits $96.18 and spends $17.05, what is his new balance if he started with $560.94?

• $650.17

• $640.17

• $650.07

• $640.07

The Earth is approximately 390.84 million miles closer to the Sun than Jupiter. If Jupiter is 483.8 million miles from the Sun, what is the distance from the Earth to the Sun?

• 90.96 million miles

• 92.96 million miles

• 91.96 million miles

• 93.96 million miles

Jacksonville is 554.58 miles from Charleston, and Charleston is 217.8 miles from Cleveland. What is the total distance from Jacksonville to Cleveland?

• 772.38 miles

• 771.38 miles

• 774.38 miles

• 773.38 miles

When adding or subtracting decimals, why is it important to line up the decimal points?

• To make the calculation faster

• To ensure the correct placement of digits

• To make the numbers look neat

• To avoid rounding errors