Algebra Tutorials!

 Monday 16th of September

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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Multiplying Numbers

## Properties and Facts of Multiplication

Multiplication algorithm: Please review multiplication facts and the multiplication algorithm.

Vocabulary: The product of two numbers a and b is aâ€¢b. The â€œaâ€ and â€œbâ€ are called factors. The product may be written â€œabâ€ (omit the dot between the letters) if the at least one of the factors is a variable.

 English Words Math Symbols The product of 2 and 5 2Â·5 The product of 2 and y 2Â·y The product m and n mÂ·n The product of x and 2 xÂ·2 The product of p and q pÂ·q

## Properties of multiplication:

Multiplication property of zero: If a is any number, then aâ€¢0 = 0â€¢a = 0

Multiplication property of one: If a is any number, then aâ€¢1= 1â€¢a = a

Commutative property of multiplication: If a and b are any numbers, then aâ€¢b = b â€¢a

Associative property of multiplication: If a, b and c are any numbers, then a (bc) = (ab)c

## Solving equations by inspection:

Example:

Solve by inspection.

5n = 25

n = 5 (guess the solution)

## Multiplying by powers of ten:

To multiply by a power of ten, count the number of zeros on the power of ten and place that many zeros on the end of the other factor to get the answer.

Example:

100 â€¢27 = 2700

To multiply by a number that ends in zeros:

1. Drop the zeros.

2. Multiply the two remaining numbers.

3. Place the zeros at the end of the product.

Example:

2700 â€¢3 = 8100