IM: 6.7.3: Comparing Positive and Negative Numbers (Lesson)

Last updated 11 months ago

20 questions

3.1: Which One Doesn’t Belong: Inequalities

3.2: Comparing Temperatures

3.3: Rational Numbers on a Number Line

Andre says that \frac{1}{4} is less than \frac{-3}{4} because, of the two numbers, \frac{1}{4} is closer to 0. Do you agree? Explain your reasoning.

IM: 6.7.3: Comparing Positive and Negative Numbers (Lesson)

Last updated 11 months ago

20 questions

3.1: Which One Doesn’t Belong: Inequalities

Which inequality doesn’t belong?

3.2: Comparing Temperatures

Here are the low temperatures, in degrees Celsius, for a week in Anchorage, Alaska.

Plot the temperatures on a number line.

Which day of the week had the lowest low temperature?

Another temperature scale frequently used in science is the Kelvin scale. In this scale, 0 is the lowest possible temperature of anything in the universe, and it is -273.15 degrees in the Celsius scale. Each 1 K is the same as 1^{o}C, so 10 K is the same as -263.15^{o}C.

Water boils at 100^{o}C. What is this temperature in K?

Ammonia boils at -35.5^{o}C. What is the boiling point of ammonia in K?

Explain why only positive numbers (and 0) are needed to record temperature in K.

3.3: Rational Numbers on a Number Line

Plot the numbers -2, 4, -7, and 10 on the number line. Label each point with its numeric value.

Decide whether each inequality statement is true or false. Be prepared to explain your reasoning.

-2 < 4

-2 < -7

4 > -7

-7 > 10

Label the follow point on the number line: \frac{-3}{2}, \frac{5}{8}, \frac{5}{4}, \frac{1}{4}, \frac{-3}{4}

Andre says that \frac{1}{4} is less than \frac{-3}{4} because, of the two numbers, \frac{1}{4} is closer to 0. Do you agree? Explain your reasoning.

Answer each question. Explain how you know.

IM: 6.7.3: Comparing Positive and Negative Numbers (Lesson)

Andre says that \frac{1}{4} is less than \frac{-3}{4} because, of the two numbers, \frac{1}{4} is closer to 0. Do you agree? Explain your reasoning.

IM: 6.7.3: Comparing Positive and Negative Numbers (Lesson)

Which inequality doesn’t belong?

Plot the temperatures on a number line.

Which day of the week had the lowest low temperature?

Water boils at 100^{o}C. What is this temperature in K?

Ammonia boils at -35.5^{o}C. What is the boiling point of ammonia in K?

Explain why only positive numbers (and 0) are needed to record temperature in K.

Plot the numbers -2, 4, -7, and 10 on the number line. Label each point with its numeric value.

-2 < 4

-2 < -7

4 > -7

-7 > 10

Label the follow point on the number line: \frac{-3}{2}, \frac{5}{8}, \frac{5}{4}, \frac{1}{4}, \frac{-3}{4}

Andre says that \frac{1}{4} is less than \frac{-3}{4} because, of the two numbers, \frac{1}{4} is closer to 0. Do you agree? Explain your reasoning.

Which number is greater: \frac{1}{4} or \frac{5}{4}?

Which number is farther from 0: \frac{1}{4} or \frac{5}{4}?

Which number is greater: \frac{-3}{4} or \frac{5}{8}?

Which inequality doesn’t belong?

Plot the temperatures on a number line.

Which day of the week had the lowest low temperature?

Water boils at 100^{o}C. What is this temperature in K?

Ammonia boils at -35.5^{o}C. What is the boiling point of ammonia in K?

Explain why only positive numbers (and 0) are needed to record temperature in K.

Plot the numbers -2, 4, -7, and 10 on the number line. Label each point with its numeric value.

-2 < 4

-2 < -7

4 > -7

-7 > 10

Label the follow point on the number line: \frac{-3}{2}, \frac{5}{8}, \frac{5}{4}, \frac{1}{4}, \frac{-3}{4}

Which number is greater: \frac{1}{4} or \frac{5}{4}?

Which number is farther from 0: \frac{1}{4} or \frac{5}{4}?

Which number is greater: \frac{-3}{4} or \frac{5}{8}?

Which number is farther from 0: \frac{-3}{4} or \frac{5}{8}?

Is the number that is farther from 0 always the greater number? Explain your reasoning.

Which number is farther from 0: \frac{-3}{4} or \frac{5}{8}?

Is the number that is farther from 0 always the greater number? Explain your reasoning.