ISEE Lower Level Quantitative : How to multiply

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #72 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}3\\ \times 4\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 21\)

\(\displaystyle 18\)

\(\displaystyle 6\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 12\)

Explanation:

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

\(\displaystyle 3\times4\) means adding \(\displaystyle 4\) three times. 

\(\displaystyle 4+4+4=12\) and \(\displaystyle 3\times4=12\)

Or we can think of this as grouping objects. We have \(\displaystyle 3\) groups, with \(\displaystyle 4\) objects in each group. We can count up the total number of objects, in this case triangles. Screen shot 2015 08 18 at 4.41.13 pm

Example Question #182 : How To Multiply

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

 

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 12\)

\(\displaystyle 16\)

\(\displaystyle 28\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 28\)

Explanation:

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

\(\displaystyle 4\times7\) means adding \(\displaystyle 7\) four times. 

\(\displaystyle 7+7+7+7=28\) and \(\displaystyle 4\times7=28\)

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

Example Question #281 : Numbers And Operations

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

 

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 15\)

\(\displaystyle 25\)

\(\displaystyle 10\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 10\)

Explanation:

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

\(\displaystyle 5\times2\) means adding \(\displaystyle 2\) five times. 

\(\displaystyle 2+2+2+2+2=10\) and \(\displaystyle 5\times2=10\)

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

Example Question #184 : How To Multiply

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

 

Possible Answers:

\(\displaystyle 48\)

\(\displaystyle 60\)

\(\displaystyle 54\)

\(\displaystyle 36\)

\(\displaystyle 42\)

Correct answer:

\(\displaystyle 54\)

Explanation:

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

\(\displaystyle 6\times9\) means adding \(\displaystyle 9\) six times. 

\(\displaystyle 9+9+9+9+9+9=54\) and \(\displaystyle 6\times9=54\)

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

Example Question #282 : Numbers And Operations

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

 

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 14\)

\(\displaystyle 42\)

\(\displaystyle 28\)

\(\displaystyle 35\)

Correct answer:

\(\displaystyle 42\)

Explanation:

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

\(\displaystyle 7\times6\) means adding \(\displaystyle 6\) seven times. 

\(\displaystyle 6+6+6+6+6+6+6=42\) and \(\displaystyle 7\times6=42\)

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

Example Question #281 : Numbers And Operations

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

 

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 100\)

\(\displaystyle 70\)

\(\displaystyle 90\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 80\)

Explanation:

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

\(\displaystyle 8\times10\) means adding \(\displaystyle 10\) eight times. 

\(\displaystyle 10+10+10+10+10+10+10+10=80\) and \(\displaystyle 8\times10=80\)

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

Example Question #181 : How To Multiply

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

 

Possible Answers:

\(\displaystyle 81\)

\(\displaystyle 54\)

\(\displaystyle 45\)

\(\displaystyle 63\)

\(\displaystyle 72\)

Correct answer:

\(\displaystyle 45\)

Explanation:

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

\(\displaystyle 9\times5\) means adding \(\displaystyle 5\) nine times. 

\(\displaystyle 5+5+5+5+5+5+5+5+5=45\) and \(\displaystyle 9\times5=45\)

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

Example Question #284 : Numbers And Operations

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

 

Possible Answers:

\(\displaystyle 55\)

\(\displaystyle 44\)

\(\displaystyle 33\)

\(\displaystyle 22\)

\(\displaystyle 66\)

Correct answer:

\(\displaystyle 66\)

Explanation:

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

\(\displaystyle 11\times6\) means adding \(\displaystyle 6\) eleven times. 

\(\displaystyle 6+6+6+6+6+6+6+6+6+6+6=66\) and \(\displaystyle 11\times6=66\)

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

Example Question #88 : Operations & Algebraic Thinking

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

 

Possible Answers:

\(\displaystyle 70\)

\(\displaystyle 63\)

\(\displaystyle 77\)

\(\displaystyle 56\)

\(\displaystyle 84\)

Correct answer:

\(\displaystyle 84\)

Explanation:

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

\(\displaystyle 12\times7\) means adding \(\displaystyle 7\) twelve times. 

\(\displaystyle 7+7+7+7+7+7+7+7+7+7+7+7=84\) and \(\displaystyle 12\times7=84\)

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

Example Question #241 : How To Multiply

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

 

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 12\)

\(\displaystyle 13\)

\(\displaystyle 11\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 12\)

Explanation:

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

\(\displaystyle 1\times12\) means adding \(\displaystyle 12\) one time. 

\(\displaystyle 12=12\) and \(\displaystyle 1\times12=12\)

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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