AnswersSC-Mathematics 6Multiplication and Division Inequalities

Multiplication and Division Inequalities Answers

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Which of the following statements is true when comparing numbers using a number line?

A
The number closest to zero is always the least.
B
The number farthest from zero is always the greatest.
C
The number farthest right is always the least.
D
The number left is always the least.
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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.

Answer:

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.

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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
–4 < –3
B
The inequality changes from greater than to less than because -4 is less than -3.
C
–4 > –3
D
The greater than inequality holds true even when the opposites of 4 and 3 are used.
E
–4 = –3
10

A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol.

Answers:
Selection 1:24 > 16
Selection 2:–22 < –6
Selection 3:21 > –18
Selection 4:–25 < 5
the inequality symbol.:does not change
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A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.

Answers:
Selection 1:–16 < –4
Selection 2:40 > 8
Selection 3:–45 < 15
Selection 4:35 > –20
Selection 5:reverses
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A: B: C: D: The inequality symbol is only reversed when dividing by a number.

Answers:
Selection 1:–4 < –1
Selection 2:–2 < –1
Selection 3:2 > –5
Selection 4:2 > –1
number.:negative
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Check any that you included in your response.

A
For positive numbers, the number closest to zero is the least.
B
For negative numbers, the number closest to zero is the greatest.
C
So, since a and b are both positive and a < b, the opposite of a is greater than the opposite of b.
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B:

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19

Check any that you included in your response.

A
When multiplying or dividing by –2, the direction of the inequality was reversed.
B
When multiplying or dividing by 2, the direction of the inequality was not affected.

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