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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 #181 : How To Multiply

$\frac{\begin{array}[b]{r}4\\ \times 7\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}4\\ \times 7\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 28$

$\displaystyle 16$

$\displaystyle 12$

$\displaystyle 24$

$\displaystyle 20$

Correct answer:

$\displaystyle 28$

Explanation:

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

$4\times7$ $\displaystyle 4\times7$ means adding $\displaystyle 7$ four times.

$\displaystyle 7+7+7+7=28$ and $4\times7=28$ $\displaystyle 4\times7=28$

Or we can think of this as grouping objects. We have $\displaystyle 4$ groups, with $\displaystyle 7$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 4.42.51 pm

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Example Question #182 : How To Multiply

$\frac{\begin{array}[b]{r}5\\ \times 2\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}5\\ \times 2\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 5$

$\displaystyle 15$

$\displaystyle 25$

$\displaystyle 10$

$\displaystyle 20$

Correct answer:

$\displaystyle 10$

Explanation:

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

$5\times2$ $\displaystyle 5\times2$ means adding $\displaystyle 2$ five times.

$\displaystyle 2+2+2+2+2=10$ and $5\times2=10$ $\displaystyle 5\times2=10$

Or we can think of this as grouping objects. We have $\displaystyle 5$ 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 4.43.51 pm

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Example Question #183 : How To Multiply

$\frac{\begin{array}[b]{r}6\\ \times 9\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}6\\ \times 9\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 54$

$\displaystyle 36$

$\displaystyle 60$

$\displaystyle 42$

$\displaystyle 48$

Correct answer:

$\displaystyle 54$

Explanation:

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

$6\times9$ $\displaystyle 6\times9$ means adding $\displaystyle 9$ six times.

$\displaystyle 9+9+9+9+9+9=54$ and $6\times9=54$ $\displaystyle 6\times9=54$

Or we can think of this as grouping objects. We have $\displaystyle 6$ groups, with $\displaystyle 9$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 4.44.57 pm

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Example Question #184 : How To Multiply

$\frac{\begin{array}[b]{r}7\\ \times 6\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}7\\ \times 6\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 21$

$\displaystyle 28$

$\displaystyle 42$

$\displaystyle 14$

$\displaystyle 35$

Correct answer:

$\displaystyle 42$

Explanation:

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

$7\times6$ $\displaystyle 7\times6$ means adding $\displaystyle 6$ seven times.

$\displaystyle 6+6+6+6+6+6+6=42$ and $7\times6=42$ $\displaystyle 7\times6=42$

Or we can think of this as grouping objects. We have $\displaystyle 7$ 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 4.46.29 pm

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Example Question #185 : How To Multiply

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

Possible Answers:

100 $\displaystyle 100$

$\displaystyle 90$

$\displaystyle 70$

$\displaystyle 60$

$\displaystyle 80$

Correct answer:

$\displaystyle 80$

Explanation:

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

$8\times10$ $\displaystyle 8\times10$ means adding $\displaystyle 10$ eight times.

$\displaystyle 10+10+10+10+10+10+10+10=80$ and $8\times10=80$ $\displaystyle 8\times10=80$

Or we can think of this as grouping objects. We have $\displaystyle 8$ 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 4.48.35 pm

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Example Question #181 : How To Multiply

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

Possible Answers:

$\displaystyle 72$

$\displaystyle 45$

$\displaystyle 63$

$\displaystyle 81$

$\displaystyle 54$

Correct answer:

$\displaystyle 45$

Explanation:

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

$9\times5$ $\displaystyle 9\times5$ means adding $\displaystyle 5$ nine times.

$\displaystyle 5+5+5+5+5+5+5+5+5=45$ and $9\times5=45$ $\displaystyle 9\times5=45$

Or we can think of this as grouping objects. We have $\displaystyle 9$ 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 4.49.51 pm

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Example Question #187 : How To Multiply

$\frac{\begin{array}[b]{r}11\\ \times 6\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}11\\ \times 6\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 33$

$\displaystyle 55$

$\displaystyle 44$

$\displaystyle 66$

$\displaystyle 22$

Correct answer:

$\displaystyle 66$

Explanation:

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

$11\times6$ $\displaystyle 11\times6$ means adding $\displaystyle 6$ eleven times.

$\displaystyle 6+6+6+6+6+6+6+6+6+6+6=66$ and $11\times6=66$ $\displaystyle 11\times6=66$

Or we can think of this as grouping objects. We have $\displaystyle 11$ 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 4.52.23 pm

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Example Question #188 : How To Multiply

$\frac{\begin{array}[b]{r}12\\ \times 7\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}12\\ \times 7\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 84$

$\displaystyle 63$

$\displaystyle 70$

$\displaystyle 77$

$\displaystyle 56$

Correct answer:

$\displaystyle 84$

Explanation:

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

$12\times7$ $\displaystyle 12\times7$ means adding $\displaystyle 7$ twelve times.

$\displaystyle 7+7+7+7+7+7+7+7+7+7+7+7=84$ and $12\times7=84$ $\displaystyle 12\times7=84$

Or we can think of this as grouping objects. We have $\displaystyle 12$ groups, with $\displaystyle 7$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 4.53.14 pm

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Example Question #291 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

$\frac{\begin{array}[b]{r}1\\ \times 12\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}1\\ \times 12\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 12$

$\displaystyle 11$

$\displaystyle 13$

$\displaystyle 9$

$\displaystyle 10$

Correct answer:

$\displaystyle 12$

Explanation:

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

$1\times12$ $\displaystyle 1\times12$ means adding $\displaystyle 12$ one time.

12=12 $\displaystyle 12=12$ and $1\times12=12$ $\displaystyle 1\times12=12$

Or we can think of this as grouping objects. We have $\displaystyle 1$ group, with $\displaystyle 12$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 8.49.33 pm

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Example Question #292 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

$\frac{\begin{array}[b]{r}2\\ \times 7\end{array}}{ \ \ \ \space}$ $\displaystyle \frac{\begin{array}[b]{r}2\\ \times 7\end{array}}{ \ \ \ \space}$

Possible Answers:

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 8$

$\displaystyle 14$

$\displaystyle 10$

Correct answer:

$\displaystyle 14$

Explanation:

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

$2\times7$ $\displaystyle 2\times7$ means adding $\displaystyle 7$ two times.

7+7=14 $\displaystyle 7+7=14$ and $2\times7=14$ $\displaystyle 2\times7=14$

Or we can think of this as grouping objects. We have $\displaystyle 2$ groups, with $\displaystyle 7$ objects in each group. We can count up the total number of objects, in this case triangles.

Screen shot 2015 08 18 at 8.49.55 pm

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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 #181 : How To Multiply

Example Question #182 : How To Multiply

Example Question #183 : How To Multiply

Example Question #184 : How To Multiply

Example Question #185 : How To Multiply

Example Question #181 : How To Multiply

Example Question #187 : How To Multiply

Example Question #188 : How To Multiply

Example Question #291 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #292 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

All Common Core: 3rd Grade Math Resources

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