Which of the following statements is true when comparing numbers using a number line?
Sample response: The number further left on a number line is the smaller number. For positive numbers, the number closest to zero is smaller. For negative numbers, the number closest to zero is larger. If a is less than b, and they are both positive, then a is closer to 0 than b. The opposite of a is also closer to zero than the opposite of b, so the opposite of a must be larger than the opposite of b. Check any that you included in your response.For positive numbers, the number closest to zero
Identify the opposite of 2 on the number line.✔ –2–1/21/22
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.
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
A: –16 > –4✔ –16 < –4–16 = –4
A: –4 > –1✔ –4 < –1–4 = –1
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
When you multiply or divide both sides of the inequality -8 -4 or 4 > -1).
Sample response: When you multiply or divide each side by 2, the signs stay the same. −16 −4 and 4 > −1. Check any that you included in your response.When multiplying or dividing by –2, the direction of the inequality was reversed.When multiplying or dividing by 2, the direction of the inequality was not affected.
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