In the Dog House, Part Deux - Captain Zero to the Rescue (Yet Again)

A quick review...

Look familiar? 
Pat scored 54 out of 200 on a test. What percent is this?

The key to solving these types of questions comes in the words " out of ".

The " out of " number needs to be thrown " out of " the house.  200 is not allowed in the house.

54 is inside...

and 200 is out of the house, in the dog house...

So now we have...

200 divided into 54. 

This is a job for Captain Zero. (More powerful than a speeding doughnut, able to leap tall O's in a single bound...)

Put as many zeroes as you like. Captain Zero never runs out. Make sure you put a decimal point immediately to the right of the 54, and one directly above.

Now you have a standard long division question.

Looking at the roof line, you will see that 27 is to the right of the decimal. Whatever is to the right of your decimal becomes your %. So...

.27 = 27%

.03 = 3%, etc.

Pat scored 54 out of 200 on a test. What percent is this? 27%

In the dog house

Look familiar? 

1) Pat scored 54 out of 200 on a test. What percent is this?

or...

2) 36 out of 300 people ride bikes to work. What percent is this?

The key to solving these types of questions comes in the words " out of ".

The " out of " number needs to be thrown " out of " the house. 200 has forgotten the wedding anniversary (yet again!) and has to go and sleep in the dog house. 200 is not allowed in the house.

54 is inside...

and 200 is out of the house, in the dog house...

So now we have...

 200 divided into 54. 

This is a job for Captain Zero and will be covered in the next blog post. 

Note: Do not get into the habit of assuming you are dividing the "bigger number" into the smaller one. You might get a question such as...

Pat scored 154 out of 150 on a test. Bonus marks were scored! What percent is this? 

If Pat scored more than 150, then the answer has to be more than 100%. In this case, 150 is your " out of " number.

          

DLMR Part Deux - Captain Zero to the Rescue!

D.L.M.R. - Work Smart, Not Hard!

Work Smart, Not Hard!

Review...

Remember DLMR. Here's some suggestions for DLMR...

Does Love Mean Rules?

Do Like Mother Recommends

Doughnuts Leave Me Retching

Do Like My Rap!

Ducks Like Marshy Rivers

Dogs Like My Rug

Doug Lost My Respect

Digital Listening Mobile Radio

Don't Like My Ride

Down Long Mountain Roads

Detours Leave Me Ranting

When multiplying or dividing numbers containing decimals by 10, 100, 1000, etc., there's no need for long division or multiplication. You need only MOVE the decimal place.

D.L.M.R tells us that when we divide by 10, 100, 

1000, etc., we move the decimal

left 

and when we multiply, we move the decimal 

right

We move one place for every zero (0) in the 10, 100, 1000, 10,000, etc. 

So...2.70 x 100 was 270. How about 2.3 x 10,000?

In the example above, we are multiplying by 10,000. There are 4 zeroes. We need to move the decimal 4 places to the...............................................right. But there is only the one decimal place (the .3). What now?

Captain Zero to the rescue. 

Is he a bird? A plane? No - he's one big zero. You may know him. You may have seen him. He fires blanks. As many as you need. Tack them onto the right of the 2.3

2.3 0 0 0 x 10,000 = 23,000. (Move the decimal place 4 spaces to the right. One for each zero in 10,000.) We move to the right when we multiply.

More examples, covering some trickier problems, will follow in the next postings.