Common Core: 3rd Grade Math : Common Core Math: Grade 3

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

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Example Questions

Example Question #61 : Operations & Algebraic Thinking

\(\displaystyle \frac{\begin{array}[b]{r}9\\ \times 2\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 18\)

\(\displaystyle 36\)

\(\displaystyle 27\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 18\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 9\times2\) means adding \(\displaystyle 2\) nine times. 

\(\displaystyle 2+2+2+2+2+2+2+2+2=18\) and \(\displaystyle 9\times2=18\)

Or we can think of this as grouping objects. We have \(\displaystyle 9\) groups, with \(\displaystyle 2\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #62 : Operations & Algebraic Thinking

\(\displaystyle \frac{\begin{array}[b]{r}10\\ \times 8\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 90\)

\(\displaystyle 70\)

\(\displaystyle 100\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 80\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 10\times8\) means adding \(\displaystyle 8\) ten times. 

\(\displaystyle 8+8+8+8+8+8+8+8+8+8=80\) and \(\displaystyle 10\times8=80\)

Or we can think of this as grouping objects. We have \(\displaystyle 10\) groups, with \(\displaystyle 8\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #62 : Operations & Algebraic Thinking

\(\displaystyle \frac{\begin{array}[b]{r}11\\ \times 1\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 44\)

\(\displaystyle 22\)

\(\displaystyle 11\)

\(\displaystyle 33\)

\(\displaystyle 55\)

Correct answer:

\(\displaystyle 11\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 11\times1\) means adding \(\displaystyle 1\) eleven times. 

\(\displaystyle 1+1+1+1+1+1+1+1+1+1+1=11\) and \(\displaystyle 11\times1=11\)

Or we can think of this as grouping objects. We have \(\displaystyle 11\) groups, with \(\displaystyle 1\) object in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #211 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}12\\ \times 4\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 60\)

\(\displaystyle 72\)

\(\displaystyle 84\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 48\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 12\times4\) means adding \(\displaystyle 4\) twelve times. 

\(\displaystyle 4+4+4+4+4+4+4+4+4+4+4+4=48\) and \(\displaystyle 12\times4=48\)

Or we can think of this as grouping objects. We have \(\displaystyle 12\) groups, with \(\displaystyle 4\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #64 : Operations & Algebraic Thinking

\(\displaystyle \frac{\begin{array}[b]{r}3\\ \times 1\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 3\)

\(\displaystyle 12\)

\(\displaystyle 9\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 3\times1\) means adding \(\displaystyle 1\) three times. 

\(\displaystyle 1+1+1=3\) and \(\displaystyle 3\times1=3\)

Or we can think of this as grouping objects. We have \(\displaystyle 3\) groups, with \(\displaystyle 1\) object in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #65 : Operations & Algebraic Thinking

\(\displaystyle \frac{\begin{array}[b]{r}2\\ \times 4\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 14\)

\(\displaystyle 12\)

\(\displaystyle 10\)

\(\displaystyle 6\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 8\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 2\times4\) means adding \(\displaystyle 4\) two times. 

\(\displaystyle 4+4=8\) and \(\displaystyle 2\times4=8\)

Or we can think of this as grouping objects. We have \(\displaystyle 2\) groups, with \(\displaystyle 4\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #61 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}2\\ \times 11\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 55\)

\(\displaystyle 66\)

\(\displaystyle 22\)

\(\displaystyle 44\)

\(\displaystyle 33\)

Correct answer:

\(\displaystyle 22\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 2\times11\) means adding \(\displaystyle 11\) two times. 

\(\displaystyle 11+11=22\) and \(\displaystyle 2\times11=22\)

Or we can think of this as grouping objects. We have \(\displaystyle 2\) groups, with \(\displaystyle 11\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #67 : Operations & Algebraic Thinking

\(\displaystyle \frac{\begin{array}[b]{r}3\\ \times 7\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 18\)

\(\displaystyle 21\)

\(\displaystyle 9\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 21\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 3\times7\) means adding \(\displaystyle 7\) three times. 

\(\displaystyle 7+7+7=21\) and \(\displaystyle 3\times7=21\)

Or we can think of this as grouping objects. We have \(\displaystyle 3\) groups, with \(\displaystyle 7\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #221 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}4\\ \times 10\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 40\)

\(\displaystyle 36\)

\(\displaystyle 44\)

\(\displaystyle 32\)

\(\displaystyle 28\)

Correct answer:

\(\displaystyle 40\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 4\times10\) means adding \(\displaystyle 10\) four times. 

\(\displaystyle 10+10+10+10=40\) and \(\displaystyle 4\times10=40\)

Or we can think of this as grouping objects. We have \(\displaystyle 4\) groups, with \(\displaystyle 10\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #221 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}5\\ \times 9\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 45\)

\(\displaystyle 35\)

\(\displaystyle 25\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 45\)

Explanation:

Multiplication can be thought of as repeated addition, or as objects in a group. 

\(\displaystyle 5\times9\) means adding \(\displaystyle 9\) five times. 

\(\displaystyle 9+9+9+9+9=45\) and \(\displaystyle 5\times9=45\)

Or we can think of this as grouping objects. We have \(\displaystyle 5\) groups, with \(\displaystyle 9\) objects in each group. We can count up the total number of objects, in this case triangles.

 

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