Understanding Absolute Values and Percentages

The video tutorial covers a range of mathematical problems, including plotting numbers on a number line using absolute values, solving temperature-related problems, ordering numbers by absolute value, calculating percentages for charity donations, comparing exponential expressions, and determining travel distances in percentage terms. The teacher provides step-by-step instructions and explanations for each problem, ensuring students understand the concepts and can apply them in practice.

What is the absolute value of -3/2?

• -3

• 3

• 1.5

• -1.5

If the temperature is 6 degrees away from zero, which of the following could be the temperature?

• 12

• 3

• -6

• 0

Which of the following numbers has the greatest absolute value?

• -2.7

• 1.3

• 0

• -1

Elena donates 3.6 dollars from her 30 dollar income. What percentage of her income does she donate?

• 12%

• 10%

• 18%

• 15%

In the equation D = 0.12M, what does D represent?

• Total income

• Donation amount

• Number of hours worked

• Percentage of income

How many times larger is 3^4 compared to 3^3?

• 12 times

• 9 times

• 4 times

• 3 times

If a family has traveled 26 miles out of a 325-mile trip, what percentage of the trip have they completed?

• 6%

• 8%

• 10%

• 12%

What is the result of 5^3 divided by 5^2?

• 25

• 15

• 10

• 5

If a family has completed 72% of a 325-mile trip, how many miles have they traveled?

• 260 miles

• 234 miles

• 300 miles

• 180 miles

What percentage of the trip is completed if a family has traveled 377 miles on a 325-mile trip?

• 100%

• 120%

• 110%

• 116%