Factor Label MethodAKA Dimensional Analysis

A method of converting one unit in a problem to another unit using a series of conversion factors.

Question: What is Dimensional Analysis?

Steps:1. Identify starting & ending units.2. Line up conversion factors so units will cancel.3. Multiply all top numbers & divide by product of bottom numbers.4. Check units & answer.

How do you use Dimensional Analysis?

Dimensional analysis

What is given A ratio

equal to one

Dimensional analysis

What is given A conversion

factor

1 in = 2.54 cm

1 in = 2.54 cm

Conversion Factors:

60 cm 1 in2.54 cm

x

60 in x 1 in 2.54 cm

Dimensional Analysis 1hr = ? ms

1 hr

1 hr 60 min 1 hr

X

Dimensional Analysis 1hr = ? ms

1 hr 60 min 1 hr

X

Dimensional Analysis 1hr = ? ms

1 hr 60 min 60 s 1 hr 1 min

X X

Dimensional Analysis 1hr = ? ms

1 hr 60 min 60 s 1 hr 1 min

X X

Dimensional Analysis 1hr = ? ms

1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s

X X X

Dimensional Analysis 1hr = ? ms

1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s

X X X

Dimensional Analysis 1hr = ? ms

1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s

X X X

1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s

Dimensional Analysis 1hr = ? ms

= 3.6 x 106 ms

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00.

How much will it cost Jenny to make all of her presents?

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? What units should be on the answer?

1. shirts/package2. $/all presents3. minutes/shirt4. $/package5. buttons/all presents6. all presents/$7. package/buttons8. package/$9. $/shirt

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

What units should be on the answer?

1. shirts/package2. $/all presents3. minutes/shirt4. $/package5. buttons/all presents6. all presents/$7. package/buttons8. package/$9. $/shirt

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

The problem tells us that 3 packages of buttons costs $5.00, so3 packages = $5.00

To solve this problem it would be best to use this equality represented as which factor below?

1. $5.00___

3 packages2. 3 packages $5.00

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

The problem tells us that 3 packages of buttons costs $5.00, so3 packages = $5.00

In this problem which way should we use this equality?

1. $5.00___

3 packages

2. 3 packages $5.00

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

Which equality is NOT needed to solve this problem?

1. 1 shirt = 6 buttons2. $5.00 = 3 packages3. 10 minutes = 1 shirt4. 150 buttons = 1 package5. presents = 25 shirts

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

Which equality is NOT needed to solve this problem?

1. 1 shirt = 6 buttons2. $5.00 = 3 packages3. 10 minutes = 1 shirt4. 150 buttons = 1 package5. presents = 25 shirts

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

To solve this problem we need many factors. Use the units to guide you and determine of these factors shown, which are correct (choose all that apply)

1. 1 package 150 buttons

2. 150 buttons 1 package

3. 25 shirts all presents

4. all presents 25 shirts

5. 1 shirt 6 buttons

6. 6 buttons 1 shirt

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

To solve this problem we need many factors. Use the units to guide you and determine of these factors shown, which are correct (choose all that apply)

1. 1 package 150 buttons

2. 150 buttons 1 package

3. 25 shirts all presents

4. all presents 25 shirts

5. 1 shirt 6 buttons

6. 6 buttons 1 shirt

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

How much will it cost Jenny to make all of her presents?

1. $16.67/all presents

2. $1.67/all presents

3. $370/all presents

4. $ 37500/all presents

5. $166.67/all presents

Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

How much will it cost Jenny to make all of her presents?

1. $16.67/all presents

2. $1.67/all presents

3. $370/all presents

4. $ 37500/all presents

5. $166.67/all presents

$5.003 packages

1 package150 buttons

6 buttons 1 shirt

25 shirtall presents

Chloe the kangaroo wants to travel from Melbourne to the Northern territory of Australia to shop for a new pouch for Joey. She hops 50 km in 0.769 hour and needs to take 30 hops every minute to travel at that speed. How many hops will it take to travel the entire distance (to the Northern Territory and back), a distance of about 3157 km each way.

Chloe the kangaroo wants to travel from Melbourne to the Northern territory of Australia to shop for a new pouch for Joey. She hops 50 km in 0.769 hour and needs to take 30 hops every minute to travel at that speed. How many hops will it take to travel the entire distance (to the Northern Territory and back), a distance of about 3157 km each way.

174,797 hops/entire trip

She must be tired!!