Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Monthly Update sign up
Mailing List signup
Learning Math Home
Measurement Session 3: Solutions
Session 3 Part A Part B Homework
Measurement Site Map
Session 3 Materials:

A B 


Solutions for Session 3 Homework

See solutions for Problems: H1 | H2 | H3 | H4 | H5

Problem H1


Ten million meters can also be expressed as 10,000 km, or 10 Mm.


A meter is defined to be the length of the path traveled by light in vacuum during a time interval of 1/299,792,458 of a second. In this way, it can be defined in terms of the second, another base unit of the metric system, and the constant speed of light.

<< back to Problem H1


Problem H2


1 gigameter - H. Earth's distance from Saturn


1 megameter - F. distance from Atlanta to Miami


1 kilometer - A. distance a fast walker walks in 10 minutes


1 meter - C. waist height of an average adult


1 centimeter - G. width of a fingernail


1 millimeter - E. thickness of a dime


1 micrometer - D. size of bacteria


1 picometer - B. size of an atom

<< back to Problem H2


Problem H3

Since it takes 1,000 g to make a kilogram, there are about 200 nickels in a kilogram. Two hundred nickels are worth $10.

<< back to Problem H3


Problem H4


The mass is approximately 6.5 kg.


Since 1 cm3 is equivalent to 1 g, 30 cm3 of water has a mass of 30 g.


Since 1 mL is equivalent to 1 g, 18 mL has a mass of 18 g.


Twelve cubic meters is equivalent to 12,000 dm3. Since 1 dm3 of water has a mass of 1 kg, 12 m3 has a mass of 12,000 kg.

<< back to Problem H4


Problem H5

In terms of the number of units, 1,869 is a much larger number, so a student might be confused and say that 1,869 g is more. But since a kilogram is equivalent to 1,000 g, 1.87 kg is actually 1,870 g, which is more. This confusion might disappear once the student is more familiar with the metric system, which makes this type of conversion much easier than converting, say, inches to miles.

<< back to Problem H5


Learning Math Home | Measurement Home | Glossary | Map | ©

Session 3 | Notes | Solutions | Video


© Annenberg Foundation 2016. All rights reserved. Legal Policy