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Identify the opposite of 2 on the number line.✔ –2–1/21/22
Identify the opposite of 5 on the number line.5✔ –5–1/51/5
Using your results, which statement is true?Since –2 is further right on the number line, –2 –5left on the number line, –2 –5.
If you know that a < b, and both a and b are positive numbers, then what must be true about the relationship between the opposites of these numbers? Explain.
If a -b. On a number line, a is closer to zero than b. Their opposites, -a and -b, will be on the negative side of the number line. Since -a is closer to zero than -b on the negative side, -a is further to the right, making it the greater value.
Check any that you included in your response.
Complete the inequality: -1 = -4.
Place points at the opposites for each number. Which inequality statement is true?✔ 1 4–1 > 4
If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.
A: ✔ 24 > 1624 < 1624 = 16
B: –22 > –6✔ –22 < –6–22 = –6
C: ✔ 21 > –1821 < –1821 = –18
D: –25 > 5✔ –25 < 5–25 = 5
Multiplying both sides of an inequality by a positive number ✔ does not changereverses the inequality symbol.
A: –16 > –4✔ –16 < –4–16 = –4
B: ✔ 40 > 840 < 840 = 8
C: –45 > 15✔ –45 < 15–45 = 15
D: ✔ 35 > –2035 < –2035 = –20
Multiplying both sides of an inequality by a negative number does not change✔ reverses the inequality symbol.
A: –4 > –1✔ –4 < –1–4 = –1
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