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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #5053 : Algebra Ii

Multiply: $536\times 419$ $\displaystyle 536\times 419$

Possible Answers:

224584 $\displaystyle 224584$

223484 $\displaystyle 223484$

223684 $\displaystyle 223684$

$\textup{The answer is not given.}$ $\displaystyle \textup{The answer is not given.}$

213584 $\displaystyle 213584$

Correct answer:

224584 $\displaystyle 224584$

Explanation:

Multiply the first number with the ones digit of the second number.

$536\times 9 = 4824$ $\displaystyle 536\times 9 = 4824$

Save this value.

Multiply the first number with the tens digit of the second number.

$536\times 1 =536$ $\displaystyle 536\times 1 =536$

Add a zero to this number and save the value for later.

5360 $\displaystyle 5360$

Multiply the first number with the hundreds digit of the second number.

$536\times 4 = 2144$ $\displaystyle 536\times 4 = 2144$

Add two zeros to the end of this number, and add the previously saved numbers.

$\displaystyle 214400+5360+4824= 224584$

The answer is: 224584 $\displaystyle 224584$

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Example Question #5051 : Algebra Ii

Multiply the numbers: $198\times 73$ $\displaystyle 198\times 73$

Possible Answers:

14454 $\displaystyle 14454$

16354 $\displaystyle 16354$

17434 $\displaystyle 17434$

18944 $\displaystyle 18944$

13344 $\displaystyle 13344$

Correct answer:

14454 $\displaystyle 14454$

Explanation:

Multiply the first number given with the ones digit of 73.

$198\times 3 = 594$ $\displaystyle 198\times 3 = 594$

Multiply the first number given with the tens digit of 73.

$198\times 7=1386$ $\displaystyle 198\times 7=1386$

Add an extra zero to the end of this number and add this with the first number.

$\displaystyle 13860+594 = 14454$

The answer is: 14454 $\displaystyle 14454$

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Example Question #2391 : Mathematical Relationships And Basic Graphs

Try without a calculator:

Which is true about $\frac{0}{0}$ $\displaystyle \frac{0}{0}$ ?

Possible Answers:

$\frac{0}{0} = 0$ $\displaystyle \frac{0}{0} = 0$

None of these

All of these

$\frac{0}{0}$ $\displaystyle \frac{0}{0}$ is an undefined quantity.

$\frac{0}{0} = 1$ $\displaystyle \frac{0}{0} = 1$

Correct answer:

$\frac{0}{0}$ $\displaystyle \frac{0}{0}$ is an undefined quantity.

Explanation:

The quotient of any number and zero is considered an undefined quantity.

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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #5053 : Algebra Ii

Example Question #5051 : Algebra Ii

Example Question #2391 : Mathematical Relationships And Basic Graphs

All Algebra II Resources

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