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

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

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All Common Core: 3rd Grade Math Resources

7 Diagnostic Tests 226 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Representing And Solving Problems Involving Multiplication And Division

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

Possible Answers:

$\displaystyle 22$

$\displaystyle 44$

$\displaystyle 55$

$\displaystyle 33$

$\displaystyle 11$

Correct answer:

$\displaystyle 22$

Explanation:

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

$11\times2$ $\displaystyle 11\times2$ means adding $\displaystyle 2$ eleven times.

$\displaystyle 2+2+2+2+2+2+2+2+2+2+2=22$ and $11\times2=22$ $\displaystyle 11\times2=22$

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

Screen shot 2015 08 18 at 11.02.18 am

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Example Question #41 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}12\\ \times 2\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}12\\ \times 2\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 24$

$\displaystyle 72$

$\displaystyle 36$

$\displaystyle 48$

$\displaystyle 60$

Correct answer:

$\displaystyle 24$

Explanation:

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

$12\times2$ $\displaystyle 12\times2$ means adding $\displaystyle 2$ twelve times.

$\displaystyle 2+2+2+2+2+2+2+2+2+2+2+2+=24$ and $12\times2=24$ $\displaystyle 12\times2=24$

Or we can think of this as grouping objects. We have $\displaystyle 12$ groups, with $\displaystyle 2$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.07.24 am

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Example Question #42 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}1\\ \times 6\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}1\\ \times 6\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 4$

$\displaystyle 8$

$\displaystyle 7$

Correct answer:

$\displaystyle 6$

Explanation:

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

$1\times6$ $\displaystyle 1\times6$ means adding $\displaystyle 6$ one time.

6=6 $\displaystyle 6=6$ and $1\times6=6$ $\displaystyle 1\times6=6$

Or we can think of this as grouping objects. We have $\displaystyle 1$ groups, with $\displaystyle 6$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.15.05 am

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Example Question #246 : Operations

$\frac{\begin{array}[b]{r}2\\ \times 8\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}2\\ \times 8\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 16$

$\displaystyle 18$

$\displaystyle 24$

$\displaystyle 22$

$\displaystyle 20$

Correct answer:

$\displaystyle 16$

Explanation:

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

$2\times8$ $\displaystyle 2\times8$ means adding $\displaystyle 8$ two times.

8+8=16 $\displaystyle 8+8=16$ and $2\times8=16$ $\displaystyle 2\times8=16$

Or we can think of this as grouping objects. We have $\displaystyle 2$ groups, with $\displaystyle 8$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.19.08 am

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Example Question #43 : Operations & Algebraic Thinking

$\frac{\begin{array}[b]{r}3\\ \times 5\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}3\\ \times 5\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 3$

$\displaystyle 9$

$\displaystyle 18$

$\displaystyle 15$

$\displaystyle 6$

Correct answer:

$\displaystyle 15$

Explanation:

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

$3\times5$ $\displaystyle 3\times5$ means adding $\displaystyle 5$ three times.

$\displaystyle 5+5+5=15$ and $3\times5=15$ $\displaystyle 3\times5=15$

Or we can think of this as grouping objects. We have $\displaystyle 3$ groups, with $\displaystyle 5$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.22.06 am

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Example Question #248 : Operations

$\frac{\begin{array}[b]{r}4\\ \times 6\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}4\\ \times 6\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 24$

$\displaystyle 36$

$\displaystyle 28$

$\displaystyle 32$

$\displaystyle 20$

Correct answer:

$\displaystyle 24$

Explanation:

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

$4\times6$ $\displaystyle 4\times6$ means adding $\displaystyle 6$ four times.

$\displaystyle 6+6+6+6=24$ and $4\times6=24$ $\displaystyle 4\times6=24$

Or we can think of this as grouping objects. We have $\displaystyle 4$ groups, with $\displaystyle 6$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.25.30 am

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Example Question #241 : Numbers And Operations

$\frac{\begin{array}[b]{r}5\\ \times 10\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}5\\ \times 10\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 40$

$\displaystyle 55$

$\displaystyle 60$

$\displaystyle 45$

$\displaystyle 50$

Correct answer:

$\displaystyle 50$

Explanation:

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

$5\times10$ $\displaystyle 5\times10$ means adding $\displaystyle 10$ five times.

$\displaystyle 10+10+10+10+10=50$ and $5\times10=50$ $\displaystyle 5\times10=50$

Or we can think of this as grouping objects. We have $\displaystyle 5$ groups, with $\displaystyle 10$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.29.29 am

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Example Question #250 : Operations

$\frac{\begin{array}[b]{r}6\\ \times 6\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}6\\ \times 6\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 36$

$\displaystyle 18$

$\displaystyle 30$

$\displaystyle 24$

$\displaystyle 12$

Correct answer:

$\displaystyle 36$

Explanation:

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

$6\times6$ $\displaystyle 6\times6$ means adding $\displaystyle 6$ six times.

$\displaystyle 6+6+6+6+6+6=36$ and $6\times6=36$ $\displaystyle 6\times6=36$

Or we can think of this as grouping objects. We have $\displaystyle 6$ groups, with $\displaystyle 6$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.33.15 am

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Example Question #45 : Common Core Math: Grade 3

$\frac{\begin{array}[b]{r}7\\ \times 10\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}7\\ \times 10\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 56$

$\displaystyle 49$

$\displaystyle 63$

$\displaystyle 77$

$\displaystyle 70$

Correct answer:

$\displaystyle 70$

Explanation:

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

$7\times10$ $\displaystyle 7\times10$ means adding $\displaystyle 10$ seven times.

$\displaystyle 10+10+10+10+10+10+10=70$ and $7\times10=70$ $\displaystyle 7\times10=70$

Or we can think of this as grouping objects. We have $\displaystyle 7$ groups, with $\displaystyle 10$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.36.23 am

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Example Question #202 : How To Multiply

$\frac{\begin{array}[b]{r}8\\ \times 1\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}8\\ \times 1\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 8$

$\displaystyle 16$

$\displaystyle 32$

$\displaystyle 24$

$\displaystyle 40$

Correct answer:

$\displaystyle 8$

Explanation:

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

$8\times1$ $\displaystyle 8\times1$ means adding $\displaystyle 1$ eight times.

$\displaystyle 1+1+1+1+1+1+1+1=8$ and $8\times1=8$ $\displaystyle 8\times1=8$

Or we can think of this as grouping objects. We have $\displaystyle 8$ groups, with $\displaystyle 1$ object in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 11.39.04 am

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All Common Core: 3rd Grade Math Resources

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

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

All Common Core: 3rd Grade Math Resources

Example Questions

Example Question #41 : Representing And Solving Problems Involving Multiplication And Division

Example Question #41 : Operations & Algebraic Thinking

Example Question #42 : Operations & Algebraic Thinking

Example Question #246 : Operations

Example Question #43 : Operations & Algebraic Thinking

Example Question #248 : Operations

Example Question #241 : Numbers And Operations

Example Question #250 : Operations

Example Question #45 : Common Core Math: Grade 3

Example Question #202 : How To Multiply

All Common Core: 3rd Grade Math Resources

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