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Common Core: 6th Grade Math : The Number System

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3458 : Operations

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 41\\ 8{\overline{\smash{)}328}}\\ -\ 32 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{8\ \ }\\ -\ \ \ 8\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$8\times 31$

$8\times 51$

$8\times 41$

$8\times 27$

$8\times 38$

Correct answer:

$8\times 41$

Explanation:

The computation shows that $328\div8=41$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 41}\\ {\color{Green} 8}{\overline{\smash{)}328}}\\ -\ 32 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 8\ \ }\\ -\ \ \ 8\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$8\times41=328+0$

Simplify.

$8\times41=328$

The correct answer is $8\times 41$

Report an Error

Example Question #3461 : Operations

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 31\\ 9{\overline{\smash{)}279}}\\ -\ 27 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{9\ \ }\\ -\ \ \ 9\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$9\times 31$

$9\times 27$

$9\times 21$

$9\times 41$

$9\times 12$

Correct answer:

$9\times 31$

Explanation:

The computation shows that $279\div9=31$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 31}\\ {\color{Green} 9}{\overline{\smash{)}279}}\\ -\ 27 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 9\ \ }\\ -\ \ \ 9\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$9\times31=279+0$

Simplify.

$9\times31=279$

The correct answer is $9\times 31$

Report an Error

Example Question #3462 : Operations

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 41\\ 9{\overline{\smash{)}369}}\\ -\ 36 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{9\ \ }\\ -\ \ \ 9\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$9\times 29$

$9\times 37$

$9\times 31$

$9\times 41$

$9\times 52$

Correct answer:

$9\times 41$

Explanation:

The computation shows that $369\div9=41$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 41}\\ {\color{Green} 9}{\overline{\smash{)}369}}\\ -\ 36 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 9\ \ }\\ -\ \ \ 9\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$9\times41=369+0$

Simplify.

$9\times41=369$

The correct answer is $9\times 41$

Report an Error

Example Question #3463 : Operations

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 51\\ 9{\overline{\smash{)}459}}\\ -\ 45 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{9\ \ }\\ -\ \ \ 9\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$9\times 45$

$9\times 51$

$9\times 60$

$9\times 40$

$9\times 50$

Correct answer:

$9\times 51$

Explanation:

The computation shows that $459\div9=51$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 51}\\ {\color{Green} 9}{\overline{\smash{)}459}}\\ -\ 45 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 9\ \ }\\ -\ \ \ 9\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$9\times51=459+0$

Simplify.

$9\times51=459$

The correct answer is $9\times 51$

Report an Error

Example Question #3464 : Operations

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 41\\ 6{\overline{\smash{)}246}}\\ -\ 24 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{6\ \ }\\ -\ \ \ 6\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$6\times 21$

$6\times 41$

$6\times 31$

$6\times 32$

$6\times 36$

Correct answer:

$6\times 41$

Explanation:

The computation shows that $246\div6=41$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 41}\\ {\color{Green} 6}{\overline{\smash{)}246}}\\ -\ 24 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 6\ \ }\\ -\ \ \ 6\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$6\times41=246+0$

Simplify.

$6\times41=246$

The correct answer is $6\times 41$

Report an Error

Example Question #3465 : Operations

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 21\\ 6{\overline{\smash{)}126}}\\ -\ 12 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{6\ \ }\\ -\ \ \ 6\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$6\times 36$

$6\times 32$

$6\times 21$

$6\times 42$

$6\times 31$

Correct answer:

$6\times 21$

Explanation:

The computation shows that $126\div6=21$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 21}\\ {\color{Green} 6}{\overline{\smash{)}126}}\\ -\ 12 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 6\ \ }\\ -\ \ \ 6\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$6\times21=126+0$

Simplify.

$6\times21=126$

The correct answer is $6\times 21$

Report an Error

Example Question #31 : The Number System

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 41\\ 4{\overline{\smash{)}164}}\\ -\ 16 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$4\times 16$

$4\times 41$

$4\times 12$

$4\times 31$

$4\times 51$

Correct answer:

$4\times 41$

Explanation:

The computation shows that $164\div4=41$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 41}\\ {\color{Green} 4}{\overline{\smash{)}164}}\\ -\ 16 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$4\times41=164+0$

Simplify.

$4\times41=164$

The correct answer is $4\times 41$

Report an Error

Example Question #32 : The Number System

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 51\\ 4{\overline{\smash{)}204}}\\ -\ 20 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$4\times 41$

$4\times 51$

$4\times 20$

$4\times 61$

$4\times 24$

Correct answer:

$4\times 51$

Explanation:

The computation shows that $204\div4=51$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 51}\\ {\color{Green} 4}{\overline{\smash{)}204}}\\ -\ 20 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$4\times51=204+0$

Simplify.

$4\times51=204$

The correct answer is $4\times 51$

Report an Error

Example Question #3742 : Numbers And Operations

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 61\\ 4{\overline{\smash{)}244}}\\ -\ 24 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$4\times 71$

$4\times 42$

$4\times 61$

$4\times 31$

$4\times 24$

Correct answer:

$4\times 61$

Explanation:

The computation shows that $254\div4=61$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 61}\\ {\color{Green} 4}{\overline{\smash{)}244}}\\ -\ 24 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$4\times61=244+0$

Simplify.

$4\times61=204$

The correct answer is $4\times 61$

Report an Error

Example Question #481 : How To Divide

Use the computation shown to find the products:

$\frac{\begin{array}[b]{r} \ 71\\ 4{\overline{\smash{)}284}}\\ -\ 28 \ \smash \ \end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

Possible Answers:

$4\times 91$

$4\times 71$

$4\times 61$

$4\times 82$

$4\times 81$

Correct answer:

$4\times 71$

Explanation:

The computation shows that $284\div4=71$ with a remainder of .

$\frac{\begin{array}[b]{r} \ {\color{Green} 71}\\ {\color{Green} 4}{\overline{\smash{)}284}}\\ -\ 28 \smash{\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}00{ 4\ \ }\\ -\ \ \ 4\ \ \end{array}}{ \ \ \ \space} }$

So it must be that:

$4\times71=284+0$

Simplify.

$4\times71=284$

The correct answer is $4\times 71$

Report an Error

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All Common Core: 6th Grade Math Resources

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Common Core: 6th Grade Math : The Number System

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #3458 : Operations

Example Question #3461 : Operations

Example Question #3462 : Operations

Example Question #3463 : Operations

Example Question #3464 : Operations

Example Question #3465 : Operations

Example Question #31 : The Number System

Example Question #32 : The Number System

Example Question #3742 : Numbers And Operations

Example Question #481 : How To Divide

All Common Core: 6th Grade Math Resources

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