Common Core: 6th Grade Math : Understand an Inequality on a Number Line: CCSS.Math.Content.6.NS.C.7a

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #1 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle -3\)__________\(\displaystyle -5\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle =\)

\(\displaystyle >\)

Correct answer:

\(\displaystyle >\)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line1

Therefore:

\(\displaystyle -3>-5\)

Example Question #2 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle 1\)__________\(\displaystyle -2\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle >\)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line3

Therefore:

\(\displaystyle 1>-2\)

Example Question #3 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle -2\)__________\(\displaystyle -1\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle >\)

\(\displaystyle =\)

Correct answer:

\(\displaystyle < \)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line2

Therefore:

\(\displaystyle -2< -1\)

Example Question #4 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle 5\)__________\(\displaystyle -1\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle >\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle >\)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line4

Therefore:

\(\displaystyle 5>-1\)

Example Question #5 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle 10\)__________\(\displaystyle -5\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle < \)

\(\displaystyle >\)

Correct answer:

\(\displaystyle >\)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line6

Therefore:

\(\displaystyle 10>-5\)

Example Question #6 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle 2\)__________\(\displaystyle 9\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle =\)

\(\displaystyle >\)

Correct answer:

\(\displaystyle < \)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line7

Therefore:

\(\displaystyle 2< 9\)

Example Question #7 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle -4\)__________\(\displaystyle 8\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle =\)

\(\displaystyle >\)

Correct answer:

\(\displaystyle < \)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line8

Therefore:

\(\displaystyle -4< 8\)

Example Question #8 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle 4\)__________\(\displaystyle -8\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle >\)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line10

Therefore:

\(\displaystyle 4>-8\)

Example Question #9 : Understand An Inequality On A Number Line: Ccss.Math.Content.6.Ns.C.7a

Fill in the blank with the proper sign.

\(\displaystyle -3\)__________\(\displaystyle 3\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle >\)

\(\displaystyle =\)

Correct answer:

\(\displaystyle < \)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line9

Therefore:

\(\displaystyle -3< 3\)

Example Question #211 : The Number System

Fill in the blank with the proper sign.

\(\displaystyle 4\)__________\(\displaystyle 3\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle >\)

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right. 

Line5

Therefore:

\(\displaystyle 4>3\)

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