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 #131 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}11\\ \times 5\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 66\)

\(\displaystyle 88\)

\(\displaystyle 44\)

\(\displaystyle 55\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 55\)

Explanation:

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

\(\displaystyle 11\times5\) means adding \(\displaystyle 5\) eleven times. 

\(\displaystyle 5+5+5+5+5+5+5+5+5+5+5=55\) and \(\displaystyle 11\times5=55\)

Or we can think of this as grouping objects. We have \(\displaystyle 11\) groups, with \(\displaystyle 5\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #31 : Common Core Math: Grade 3

\(\displaystyle \frac{\begin{array}[b]{r}12\\ \times 5\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 84\)

\(\displaystyle 100\)

\(\displaystyle 72\)

\(\displaystyle 60\)

\(\displaystyle 96\)

Correct answer:

\(\displaystyle 60\)

Explanation:

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

\(\displaystyle 12\times5\) means adding \(\displaystyle 5\) twelve times. 

\(\displaystyle 5+5+5+5+5+5+5+5+5+5+5+5=60\) and \(\displaystyle 12\times5=60\)

Or we can think of this as grouping objects. We have \(\displaystyle 12\) groups, with \(\displaystyle 5\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #184 : How To Multiply

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

 

 

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 3\)

\(\displaystyle 1\)

\(\displaystyle 2\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 1\)

Explanation:

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

\(\displaystyle 1\times1\) means adding \(\displaystyle 1\) one time. 

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

Or we can think of this as grouping objects. We have \(\displaystyle 1\) group, 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 #31 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}2\\ \times 3\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 12\)

\(\displaystyle 8\)

\(\displaystyle 4\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

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

\(\displaystyle 2\times3\) means adding \(\displaystyle 3\) two times. 

\(\displaystyle 3+3=6\) and \(\displaystyle 2\times3=6\)

Or we can think of this as grouping objects. We have \(\displaystyle 2\) groups, with \(\displaystyle 3\) objects in each group. We can count up the total number of objects, in this case triangles. 


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Example Question #32 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

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

 

 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 21\)

\(\displaystyle 15\)

\(\displaystyle 9\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 9\)

Explanation:

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

\(\displaystyle 3\times3\) means adding \(\displaystyle 3\) three times. 

\(\displaystyle 3+3+3=9\) and \(\displaystyle 3\times3=9\)

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

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Example Question #33 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}4\\ \times 1\end{array}}{ \ \ \ \space}\)

 

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 16\)

\(\displaystyle 4\)

\(\displaystyle 12\)

\(\displaystyle 1\)

Correct answer:

\(\displaystyle 4\)

Explanation:

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

\(\displaystyle 4\times1\) means adding \(\displaystyle 1\) four times. 

\(\displaystyle 1+1+1+1=4\) and \(\displaystyle 4\times1=4\)

Or we can think of this as grouping objects. We have \(\displaystyle 4\) 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 #231 : Numbers And Operations

\(\displaystyle \frac{\begin{array}[b]{r}6\\ \times 3\end{array}}{ \ \ \ \space}\)

 

 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 6\)

\(\displaystyle 24\)

\(\displaystyle 18\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 18\)

Explanation:

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

\(\displaystyle 6\times3\) means adding \(\displaystyle 3\) six times. 

\(\displaystyle 3+3+3+3+3+3=18\) and \(\displaystyle 6\times3=18\)

Or we can think of this as grouping objects. We have \(\displaystyle 6\) groups, with \(\displaystyle 3\) objects in each group. We can count up the total number of objects, in this case triangles. 

 Screen shot 2015 08 18 at 10.37.25 am

Example Question #133 : How To Multiply

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

 

Possible Answers:

\(\displaystyle 42\)

\(\displaystyle 28\)

\(\displaystyle 21\)

\(\displaystyle 35\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 14\)

Explanation:

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

\(\displaystyle 7\times2\) means adding \(\displaystyle 2\) seven times. 

\(\displaystyle 2+2+2+2+2+2+2=14\) and \(\displaystyle 7\times2=14\)

Or we can think of this as grouping objects. We have \(\displaystyle 7\) 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 #134 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}8\\ \times 3\end{array}}{ \ \ \ \space}\)

 

 

Possible Answers:

\(\displaystyle 32\)

\(\displaystyle 40\)

\(\displaystyle 8\)

\(\displaystyle 16\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 24\)

Explanation:

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

\(\displaystyle 8\times3\) means adding \(\displaystyle 3\) eight times. 

\(\displaystyle 3+3+3+3+3+3+3+3=24\) and \(\displaystyle 8\times3=24\)

Or we can think of this as grouping objects. We have \(\displaystyle 8\) groups, with \(\displaystyle 3\) objects in each group. We can count up the total number of objects, in this case triangles. 

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Example Question #34 : Interpret Products Of Whole Numbers: Ccss.Math.Content.3.Oa.A.1

\(\displaystyle \frac{\begin{array}[b]{r}9\\ \times 4\end{array}}{ \ \ \ \space}\)

 

 

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 36\)

\(\displaystyle 9\)

\(\displaystyle 27\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 36\)

Explanation:

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

\(\displaystyle 9\times4\) means adding \(\displaystyle 4\) nine times. 

\(\displaystyle 4+4+4+4+4+4+4+4+4=36\) and \(\displaystyle 9\times4=36\)

Or we can think of this as grouping objects. We have \(\displaystyle 9\) 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 10.47.24 am

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