Studdy AI Logo
Math  /  Numbers & Operations

Questionrroblem Solving Scan for Multimedia DD. DD number positioned at each point. (b)
15. 4
18. DD
16. BB
17. C
19. EE
20. F
21. Plot the numbers on the number line below. A. −512-5 \frac{1}{2} B. -6.3 C. -5.8 D. −6710-6 \frac{7}{10} E. -4.9 F. −6910-6 \frac{9}{10}
22. Use <,><,>, or == to compare. A. 110◯0.09\frac{1}{10} \bigcirc 0.09 B. -1.44 −114-1 \frac{1}{4} C. −23-\frac{2}{3} −0.8-0.8 D. 0.5 24\frac{2}{4} E. −234-2 \frac{3}{4} −2.25-2.25 F. −35-\frac{3}{5} −0.35-0.35
23. Order the numbers from least to greatest. A. −6,8,−9,13-6,8,-9,13 B. −45,−12,0.25,−0.2-\frac{4}{5},-\frac{1}{2}, 0.25,-0.2 C. 4.75,−212,−83,924.75,-2 \frac{1}{2},-\frac{8}{3}, \frac{9}{2} D. 4,−3,−8,−14,-3,-8,-1 E. −14,0.5,34,−12-\frac{1}{4}, 0.5, \frac{3}{4},-\frac{1}{2} F. −45,−54,−32,1.5-\frac{4}{5},-\frac{5}{4},-\frac{3}{2}, 1.5
24. Make Sense and Persevere What is the least number of points you must plot to have examples of all four sets of numbers, including at least one positive integer and one negative integer? Explain.
Rational Numbers numbers that can be expressed as a quotient of two integers ab(b≠0)\frac{a}{b}(b \neq 0) whole numbers Integers Whole Numbers zero and natural numbers
Natural Numbers the set of counting numbers 1,2,3,4,5,…1,2,3,4,5, \ldots

Studdy Solution

STEP 1

1. We need to plot numbers on a number line.
2. We need to compare numbers using <,>, <, >, or = = .
3. We need to order numbers from least to greatest.
4. We need to determine the least number of points to plot to represent all four sets of numbers: rational numbers, whole numbers, integers, and natural numbers.

STEP 2

1. Plot numbers on the number line.
2. Use comparison symbols to compare numbers.
3. Order numbers from least to greatest.
4. Determine the least number of points to plot for all number sets.

STEP 3

Plot the given numbers on a number line:
- A:−512 A: -5 \frac{1}{2} - B:−6.3 B: -6.3 - C:−5.8 C: -5.8 - D:−6710 D: -6 \frac{7}{10} - E:−4.9 E: -4.9 - F:−6910 F: -6 \frac{9}{10}

STEP 4

Use <,>, <, >, or = = to compare the given pairs of numbers:
- A:110>0.09 A: \frac{1}{10} > 0.09 - B:−1.44<−114 B: -1.44 < -1 \frac{1}{4} - C:−23>−0.8 C: -\frac{2}{3} > -0.8 - D:0.5=24 D: 0.5 = \frac{2}{4} - E:−234<−2.25 E: -2 \frac{3}{4} < -2.25 - F:−35<−0.35 F: -\frac{3}{5} < -0.35

STEP 5

Order the given sets of numbers from least to greatest:
- A:−9,−6,8,13 A: -9, -6, 8, 13 - B:−45,−0.2,−12,0.25 B: -\frac{4}{5}, -0.2, -\frac{1}{2}, 0.25 - C:−83,−212,4.75,92 C: -\frac{8}{3}, -2 \frac{1}{2}, 4.75, \frac{9}{2} - D:−8,−3,−1,4 D: -8, -3, -1, 4 - E:−12,−14,0.5,34 E: -\frac{1}{2}, -\frac{1}{4}, 0.5, \frac{3}{4} - F:−32,−54,−45,1.5 F: -\frac{3}{2}, -\frac{5}{4}, -\frac{4}{5}, 1.5

STEP 6

Determine the least number of points to plot for all number sets:
To have examples of all four sets of numbers, we need at least: - One positive integer (e.g., 1 1 ) - One negative integer (e.g., −1-1) - One rational number that is not an integer (e.g., 12\frac{1}{2}) - One whole number (e.g., 00)
Thus, the least number of points to plot is 4.
The solution to the problem is complete.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord