Page 2 - LN 5

Now, compare the two numbers. 4560 has a digit in the thousands place
while 456 does not. 4560 is the bigger number. This means 4560
milligrams is more than 456 milligrams, so 4.56 grams is more than 456
milligrams.

The answer is 4.56 g>456 mg
Example 1

Earlier, you were given a problem about Sarah and Laura's upcoming
track meet.

Sarah will be running the 5000 m while Laura will be running the 10K.
They are wondering who will have to run the longer distance.

First, Sarah and Laura need to know that 10K means 10 kilometers.
With running races, the letter “K” is often used to mean kilometer. So
they are comparing 5000 meters with 10 kilometers.

5000 m ––––– 10 km
Now, the girls will need both measurements to be in the same unit. They
can convert 5000 meters to kilometers. Because there are 1000 meters
in a kilometer, they will need to divide and move the decimal point 3 to
the left.

500010005000 m==55 km
Next, they can rewrite the problem with both measurements in the same
unit.

5 km ––––– 10 km
Now, they can compare the two numbers. 5 is less than 10. This means
10 kilometers is more than 5 kilometers, so 10 kilometers is more than
5000 meters.

The answer is the 10K that Laura will be running is longer than the 5000
m that Sarah will be running.

Example 2

743 km ––––– 74,300,000 mm
First, you want both measurements to be in the same unit. It doesn’t
matter which unit you convert. Let’s convert 74,300,000 mm to km.

Now, notice that you are going from a smaller unit to a larger unit. This
means you will need to divide and move the decimal point to the left.
Because there are 1,000,000 millimeters in a kilometer (1,000