Lesson 4
Absolute Value of Numbers
Problem 1
The temperature at dawn is 6^\circ \text{C} away from 0. Select all the temperatures that are possible.
\text-12^\circ \text{C}
\text-6^\circ \text{C}
0^\circ \text{C}
6^\circ \text{C}
12^\circ \text{C}
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
On the number line, plot and label all numbers with an absolute value of \frac32.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
Put these numbers in order, from least to greatest.
|\text-2.7|
0
1.3
|\text-1|
2
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
Lin’s family needs to travel 325 miles to reach her grandmother’s house.
-
At 26 miles, what percentage of the trip’s distance have they completed?
- How far have they traveled when they have completed 72% of the trip’s distance?
- At 377 miles, what percentage of the trip’s distance have they completed?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 3, Lesson 19.)Problem 5
Elena donates some money to charity whenever she earns money as a babysitter. The table shows how much money, d, she donates for different amounts of money, m, that she earns.
d | 4.44 | 1.80 | 3.12 | 3.60 | 2.16 |
---|---|---|---|---|---|
m | 37 | 15 | 26 | 30 | 18 |
- What percent of her income does Elena donate to charity? Explain or show your work.
- Which quantity, m or d, would be the better choice for the dependent variable in an equation describing the relationship between m and d? Explain your reasoning.
- Use your choice from the second question to write an equation that relates m and d.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 4, Lesson 17.)Problem 6
How many times larger is the first number in the pair than the second?
- 3^4 is _____ times larger than 3^3.
- 5^3 is _____ times larger than 5^2.
- 7^{10} is _____ times larger than 7^8.
- 17^6 is _____ times larger than 17^4.
- 5^{10} is _____ times larger than 5^4.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 4, Lesson 13.)