Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

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

star
star
star
star
star
Last updated over 1 year ago
20 Nsɛmmisa
3.1: Which One Doesn’t Belong: Inequalities
1
3.2: Comparing Temperatures
3.3: Rational Numbers on a Number Line
1
Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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

1
1
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Which inequality doesn’t belong?

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Plot the temperatures on a number line.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Which day of the week had the lowest low temperature?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
4.

The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average temperature on Mars is about -55 degrees Celsius.

Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars? Explain how you know, and write an inequality to show your answer.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

On a winter day the low temperature in Anchorage, Alaska, was -21 degrees Celsius and the low temperature in Minneapolis, Minnesota, was -14 degrees Celsius.

Jada said, “I know that 14 is less than 21, so -14 is also less than -21. This means that it was colder in Minneapolis than in Anchorage.”

Do you agree? Explain your reasoning.

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.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

-2 < 4

1
Asemmisa {{asɛmmisaAhyɛnsode}}
11.

-2 < -7

1
Asemmisa {{asɛmmisaAhyɛnsode}}
12.

4 > -7

1
Asemmisa {{asɛmmisaAhyɛnsode}}
13.

-7 > 10

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

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.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
17.

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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