Question

Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?

Answer 1

`\$100 = 8200\ Yen`

`\$1000 = 82000\ Yen`

`\$10000 = 820000\ Yen`

Explanation:

Given

`\$ 1 = 82\ Yen`

Solving (a): Equivalent of $100

Represent this with x.

So, we have:

`\$100 = x` and

`\$ 1 = 82\ Yen`

Cross Multiply:

`x * \$1 = 82\ Yen * \$100`

`x * 1 = 82\ Yen * 100`

`x = 8,200\ Yen`

Hence:

`\$100 = 8200\ Yen`

Solving (b): Equivalent of $1000

In (a)

`\$100 = 8200\ Yen`

Multiply both sides by 10

`10 *\$100 = 8200\ Yen * 10`

`\$1000 = 82000\ Yen`

Solving (c): Equivalent of $1000

In (a)

`\$100 = 8200\ Yen`

Multiply both sides by 100

`100 *\$100 = 8200\ Yen * 100`

`\$10000 = 820000\ Yen`