Using the SI Staircase - Spring Lake Park Schools

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For each of the following commonly used measurements, indicate its symbol. Use the symbols to complete the following sentences with the most appropriate unit. Units may be used more than once or not at all. These are your benchmarks.

_____ milliliter

_____ meter

_____ millimeter

_____ kilometer

_____ centimeter

_____ kilogram

_____ milligram

_____ liter

_____ second

_____ gram

1.

Colas may be purchased in two or three _____ bottles.

2.

The mass of a bowling ball is 7.25 _____.

3.

The length of the common housefly is about 1 _____.

4.

The mass of a paperclip is about 1 _____.

5.

One teaspoon of cough syrup has a volume of 5 _____.

6.

Stand with your arms raised out to your side. The distance from your nose to your outstretched fingers is about 1 _____.

7.

On a statistical basis, smoking a single cigarette lowers your life expectancy by 642,000 _____, or 10.7 minutes.

SI Staircase

The Complete How-To Guide to Converting between SI Units

Step 1

 Copy the complete problem.

 Leave a small space between the number and the unit.

 Example:

 25 L = ____________ mL

Step 2

 If there is no decimal point, add one at the end of the number.

 Think about how you would add a period at the end of a sentence.

 Our Example:

 If there is a decimal point, start from there.

Step 3

 Decide, will you be going from a larger unit to a

 smaller unit?

This means you will be going DOWN the staircase.

So you will be moving the decimal point to the RIGHT.

Or, will you be going from a smaller unit to a larger unit?

This means you w ill be going UP the staircase.

 So you will be moving the decimal point to the LEFT.

 Our Example:

 L to mL, which way are we going?

Step 4

 After you decide which way the decimal point moves, draw a small arrow in that direction just above the number to help you remember which way you are going to move the decimal point.

 Our Example: 25. L = __________ mL

Step 5

 Next, look at the SI staircase and decide how many steps you need to move from the given to the unknown units.

 Our example: L to mL

From liter to deci

From deci to centi,

From centi to milli

• We moved down 3 steps so the decimal point will move three places to the right.

Step 6

 Next, draw in each arrow, one at a time.

 Add zero’s to hold place as needed.

 Our example:

Final placement of the decimal point.

 Finally, rewrite the new answer in the blank, including zeros and the new placement of the decimal point.

 25. L = 25000. mL

Let’s do another example

Step 1

 Copy the complete problem.

 Leave a small space between the number and the unit.

 Example:

 64.7 cm = ____________ km

Step 2

 If there is no decimal point, add one at the end of the number.

 If there is a decimal point, start from there.

 Our Example:

 64.7 cm = ____________ km

 There is already a decimal point in our example.

Step 3

 Decide which direction you are going to move?

 Our Example: cm to km

 So we are going from a _________ unit to a _______ unit.

 This means we are going ________ the staircase.

 So we will be moving the decimal point to the _______.

Step 4

 After you decide which way the decimal point moves, draw a small arrow in that direction just above the number to help you remember which way you are going to move the decimal point.

 Our Example: 64.7 cm = ____________ km

Step 5

 Next, count how many steps we need to move up the staircase, from centi to kilo.

From centi to deci

From deci to meter,

From meter to deka

From deka to hecto

From hecto to kilo

• We moved up 5 steps so the decimal point will move five places to the left.

Step 6

 Draw arrows that swoop to the left , 5 times.

Our example:

.

.

.

.

Final placement of the decimal point.

 Finally, rewrite the new answer in the blank, including zeros and the new placement of the decimal point.

 64.7 cm =

Practice

 Convert the following metric measurements:

 1000 mg = _____ g

 160 cm = _____ mm

 109 g = _____ kg

 250 m = _____ km

 14 km = _____ m

 1 L = _____ mL

 480 cm = _____ m

 27 g = _____ kg

198 g = _____ kg

75 mL = _____ L

50 cm = _____ m

5 L = _____ mL

16 cm = _____ mm

65 g = _____ mg

2500 m = _____ km

355 mL = _____ L

8 mm = _____ cm

6.3 cm = _____ mm

5.6 m = _____ cm

26,000 cm = _____ m

56,500 mm = _____ km

27.5 mg = _____ g

923 cm = _____ m

0.025 km = _____ cm

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