Common Core: 3rd Grade Math : Interpret Whole-Number Quotients of Whole Numbers: CCSS.Math.Content.3.OA.A.2

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

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Example Questions

Example Question #141 : Operations & Algebraic Thinking

Solve the following: 

\(\displaystyle 60\div12=\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 7\)

\(\displaystyle 6\)

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 \(\displaystyle 60\) 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 \(\displaystyle 60\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 10.04.26 am

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

\(\displaystyle 55\div11=\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 6\)

\(\displaystyle 5\)

\(\displaystyle 7\)

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 \(\displaystyle 55\) 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 \(\displaystyle 55\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 10.01.26 am

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 #91 : How To Divide

\(\displaystyle 40\div10=\)

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 4\)

\(\displaystyle 2\)

\(\displaystyle 1\)

\(\displaystyle 5\)

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 \(\displaystyle 40\) 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 \(\displaystyle 40\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.56.52 am

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

\(\displaystyle 9\div9=\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 0\)

\(\displaystyle 2\)

\(\displaystyle 3\)

\(\displaystyle 4\)

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 \(\displaystyle 9\) 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 \(\displaystyle 9\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.53.00 am

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 #92 : How To Divide

\(\displaystyle 48\div8=\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle 9\)

\(\displaystyle 10\)

\(\displaystyle 7\)

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 \(\displaystyle 48\) 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 \(\displaystyle 48\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.48.50 am

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 #142 : Operations & Algebraic Thinking

\(\displaystyle 42\div6=\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 4\)

\(\displaystyle 7\)

\(\displaystyle 8\)

\(\displaystyle 6\)

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 \(\displaystyle 42\) 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 \(\displaystyle 42\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.39.34 am

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 #93 : How To Divide

\(\displaystyle 40\div5=\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 11\)

\(\displaystyle 9\)

\(\displaystyle 7\)

\(\displaystyle 8\)

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 \(\displaystyle 40\) 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 \(\displaystyle 40\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.36.54 am

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 #151 : Common Core Math: Grade 3

\(\displaystyle 16\div4=\)

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 4\)

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle 5\)

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 \(\displaystyle 16\) 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 \(\displaystyle 16\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.32.36 am

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 #94 : How To Divide

\(\displaystyle 6\div3=\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 3\)

\(\displaystyle 4\)

\(\displaystyle 1\)

\(\displaystyle 5\)

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 \(\displaystyle 6\) 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 \(\displaystyle 6\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.29.23 am

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

\(\displaystyle 8\div1=\)

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 9\)

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 6\)

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 \(\displaystyle 8\) items and we want to split them up equally into \(\displaystyle 1\) group. We are solving for the number of items in each group. 

We can draw \(\displaystyle 1\) circle and start putting the \(\displaystyle 8\) items, in this case triangles, into each circle equally. 

Screen shot 2015 08 18 at 9.20.00 am

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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