Knockout: U5 Dimensional Analysis

Convert 13 miles to inches.

100

Convert 13 miles to inches.

Miles and inches are both _____.

Distance

200

Convert 13 miles to inches.

How will you write 13 miles? Numerator or denominator?

(13 "miles")/1

300

Convert 13 miles to inches.

You have:

(13 "miles")/1 *?

What's next?

(13 "miles")/1 * (5280ft)/(1mi)

400

Convert 13 miles to inches.

You have: 

(13 "miles")/1 * (5280ft)/(1mi) *?

What's next?

(13 "miles")/1 * (5280ft)/(1mi) *(12"in")/(1ft)

500

What's the answer?

(13 "miles")/1 * (5280ft)/(1mi) *(12"in")/(1ft)

Round to 4 decimal places.

13 miles is 823,680 inches

Convert 1.5 quarts to liters.

100

Convert 1.5 quarts to liters.

Quarts and liters are both _____.

Volume

200

Convert 1.5 quarts to liters.

How will you write 1.5 quarts? Numerator or denominator?

(1.5qt)/1

300

Convert 1.5 quarts to liters.

You have:

(1.5qt)/1*?

What's next?

(1.5qt)/1*(1 gal)/(4qt)

400

Convert 1.5 quarts to liters.

You have:

(1.5qt)/1*(1 gal)/(4qt)*?

What's next?

HINT: TWO OPTIONS

(1.5qt)/1*(1 gal)/(4qt)*(3.785L)/(1gal)

OR

(1.5qt)/1*(1 gal)/(4qt)*(1L)/(0.264gal)

500

Convert 1.5 quarts to liters. Round to 4 decimal places.

(1.5qt)/1*(1 gal)/(4qt)*(3.785L)/(1gal)

OR

(1.5qt)/1*(1 gal)/(4qt)*(1L)/(0.264gal)

1.5 quarts is 1.419 liters or 1.42 liters.

Convert 2 yd to centimeters.

100

Convert 2 yards to centimeters.

Yards and centimeters are both _____.

Distance

200

Convert 2 yards to centimeters.

How will you write 2 yards? Numerator or denominator?

(2 yds)/1

300

Convert 2 yards to centimeters.

You have: 

(2 yds)/1*?

What's next?

(2 yds)/1*(3ft)/(1yd)

400

Convert 2 yards to centimeters.

You have:

(2 yds)/1*(3ft)/(1yd)*?

What's next?

(2 yds)/1*(3ft)/(1yd)*(12"in")/(1ft)

500

Convert 2 yards to centimeters.

You have:

(2 yds)/1*(3ft)/(1yd)*(12"in")/(1ft)*?

What's next?

(2 yds)/1*(3ft)/(1yd)*(12"in")/(1ft)*(2.54cm)/(1"in")