Common Core: 3rd Grade Math : Operations & Algebraic Thinking

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

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Example Questions

Example Question #97 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 120\div12=\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 11\)

\(\displaystyle 9\)

\(\displaystyle 10\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 10\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 120\) items and we want to split them up equally into \(\displaystyle 12\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 12\) circles and start putting the \(\displaystyle 120\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.55.35 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 10\) triangles in each of the groups so our answer is \(\displaystyle 10\)

Example Question #98 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 77\div11=\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 10\)

\(\displaystyle 11\)

\(\displaystyle 7\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 7\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 77\) items and we want to split them up equally into \(\displaystyle 11\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 11\) circles and start putting the \(\displaystyle 77\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.43.37 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 7\) triangles in each of the groups so our answer is \(\displaystyle 7\)

Example Question #99 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 60\div10=\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 3\)

\(\displaystyle 6\)

\(\displaystyle 5\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 6\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 60\) items and we want to split them up equally into \(\displaystyle 10\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 10\) circles and start putting the \(\displaystyle 60\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.42.50 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 6\) triangles in each of the groups so our answer is \(\displaystyle 6\)

Example Question #100 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 72\div9=\)

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 10\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 8\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 72\) items and we want to split them up equally into \(\displaystyle 9\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 9\) circles and start putting the \(\displaystyle 72\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.41.38 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 8\) triangles in each of the groups so our answer is \(\displaystyle 8\)

Example Question #101 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 16\div8=\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 2\)

\(\displaystyle 6\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 2\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 16\) items and we want to split them up equally into \(\displaystyle 8\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 8\) circles and start putting the \(\displaystyle 16\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.39.51 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 2\) triangles in each of the groups so our answer is \(\displaystyle 2\)

Example Question #102 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 28\div7=\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 3\)

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 4\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 28\) items and we want to split them up equally into \(\displaystyle 7\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 7\) circles and start putting the \(\displaystyle 28\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.38.07 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 4\) triangles in each of the groups so our answer is \(\displaystyle 4\)

Example Question #103 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 30\div6=\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 5\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 5\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 30\) items and we want to split them up equally into \(\displaystyle 6\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 6\) circles and start putting the \(\displaystyle 30\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.49.59 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 5\) triangles in each of the groups so our answer is \(\displaystyle 5\)

Example Question #104 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 5\div5=\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 0\)

\(\displaystyle 1\)

\(\displaystyle 2\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 1\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 5\) items and we want to split them up equally into \(\displaystyle 5\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 5\) circles and start putting the \(\displaystyle 5\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.35.05 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there is \(\displaystyle 1\) triangle in each of the groups so our answer is \(\displaystyle 1\)

Example Question #105 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 12\div4=\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 3\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 12\) items and we want to split them up equally into \(\displaystyle 4\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 4\) circles and start putting the \(\displaystyle 12\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.33.45 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 3\) triangles in each of the groups so our answer is \(\displaystyle 3\)

Example Question #106 : Interpret Whole Number Quotients Of Whole Numbers: Ccss.Math.Content.3.Oa.A.2

\(\displaystyle 24\div3=\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 7\)

\(\displaystyle 8\)

\(\displaystyle 4\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 8\)

Explanation:

When we are dividing, we are splitting things up into groups. For this problem, we can think of this as we have \(\displaystyle 24\) items and we want to split them up equally into \(\displaystyle 3\) groups. We are solving for the number of items in each group. 

We can draw \(\displaystyle 3\) circles and start putting the \(\displaystyle 24\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.31.41 pm

Our answer is the number of items in \(\displaystyle 1\) group. In this case, there are \(\displaystyle 8\) triangles in each of the groups so our answer is \(\displaystyle 8\)

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