Multiplication and Division

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Algebra II › Multiplication and Division

Questions 1 - 10

1

What is $4\cdot (7+2)$ ?

Explanation

Remember PEMDAS, the acronym that stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This is the order of operations we need to adhere to when doing any arithmetic.

The parentheses go first so do what's inside the parentheses.

The sum of and is .

Then we multiply that with to get the final answer of

2

Multiply the following numbers: $641\times 948$

Explanation

Multiply the first number with the ones digit of 948.

$641\times 8 =5128$

Save this value.

Multiply the first number with the tens digit of 948.

$641\times 4 = 2564$

Add a zero to the end of this number.

Save this value.

Multiply the first number with the hundreds digit of 948.

$641\times 9 =5769$

Add two zeros to the end of this number and add the previous saved values.

The answer is:

3

Let x and y be complex numbers

Evaluate the product .

Explanation

$\text{Because}, i^2=-1$

4

Multiply the numbers: $194\times 52$

Explanation

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

$194\times 2= 388$

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

$194\times 5 = 970$

Add an extra zero to the end of this number.

Add this number with the first number.

The answer is:

5

Multiply the following numbers: $849\times 215$

Explanation

Multiply the first number with the ones digit of 215.

$849\times5 = 4245$

Save this number.

Multiply the first number with the tens digit of 215.

$849\times 1 = 849$

Add a zero to this number.

Save this number.

Multiply the first number with the hundreds digit of 215.

$849\times 2 = 1698$

Add two zeros to this number and all the previously saved numbers.

The answer is:

6

Multiply: $269\times367$

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

Explanation

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

$269\times 7 = 1883$

Save this number.

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

$269\times6=1614$

Add a zero to the end of this number.

Save this number.

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

$269\times 3 = 807$

Add two zeros to the end of this number.

Add this number with the other two saved numbers.

The answer is:

7

What is $3\cdot 5$ ?

Explanation

When multiplying, you can draw out a grid.

Have three rows and five columns and these should create little boxes.

Count them up individually and you should get

8

Multiply: $95\times 84$

Explanation

Multiply the first number with the ones digit of 84.

$95\times 4=380$

Multiply the first number with the tens digit of 84.

$95\times 8=760$

Add an extra zero to this number.

Add this number with the first number.

The answer is:

9

Multiply: $417\times 38$

Explanation

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

$417\times 8 =3336$

Multiply the first number with the tens digit of the second number, and then add a zero to the end of the number.

$417\times 3 = 1251$

Add both numbers.

The answer is:

10

Multiply the numbers: $194\times 46$

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

Explanation

Multiply the first number with the ones digit of the second number, 6.

$194 \times 6 = 1164$

Multiply the first number with the tens digit of the second number, 4.

$194 \times 4 = 776$

Add a zero to the end of this number and add the first number.

The answer is:

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