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Use Exponents to Name Place Value Units




 
Videos and solutions to help Grade 5 students learn how to use exponents to name place value units and explain patterns in the placement of the decimal point.

Common Core Standards: 5.NBT.1, 5.NBT.2, 5.MD.1

Related Topics:
Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5

New York State Common Core Math Grade 5, Module 1, Lesson 3

Grade 5 Lesson 3 Concept Development

Problem 1:
Problem 2: Write ten to the fifth power as a product of tens.
Problem 3: 10 × 100
Problem 4: 3 × 102
Problem 5: 3.4 × 103
Problem 6: 700 ÷ 102
Problem 7: 7.1 ÷ 102
Lesson 3 Problem Set

1. Write the following in exponential form (e.g., 100 = 102).
a. 10,000 = _____
b. 1000 = _____
c. 10 × 10 = _____
d. 100 × 100 = _____
e. 1,000,000 = ______
f. 1000 × 1000 = _____

2. Write the following in standard form (e.g., 5 × 102= 500).
a. 9 × 103 = _____
b. 39 × 104 = _____
c. 7200 ÷ 102 = _____
e. 4.025 × 103 = _____
f. 40.25 × 104 = _____
g. 725 ÷ 103 = _____
This video shows how exponents work in relation to place value. Charts are used to compare exponential form, standard form, and expanded form. Multiplication problems are solved using place value charts.

3. Complete the patterns.

a. 0.02 0.2 ____ 20 ___ ___



Lesson 3 Exit Ticket

1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor (e.g., 100 = 102 = 10 × 10).
a. 1,000 = ______________ = ______________
b. 100 × 100 = ______________ = ______________

2. Write the following in standard form (e.g., 4 × 102 = 400).
a. 3 × 102 = ______________
c. 800 ÷ 102 = ______________
b. 2.16 × 104= ______________
d. 754.2 ÷ 103 = ______________

Use exponents to name place value units and explain patterns in the placement of the decimal point.
Lesson 3 Homework

1. Write the following in exponential form (e.g., 100 = 102).
a. 1000 = _____
b. 10 × 10 = ____
c. 100,000 = ____
d. 100 × 10 = ____
e. 1,000,000 = ____
f. 10,000 × 10 = ____

2. Write the following in standard form (e.g., 4 × 102 = 400).
a. 4 × 103 =
b. 64 × 104 =
c. 5300 ÷ 102 =
d. 5,300,000 ÷ 103 =
e. 6.072 × 103 =
f. 60.72 × 104 =
g. 948 ÷ 103 =
h. 9.4 ÷ 102 =

3. Complete the patterns.
a. 0.02 0.2 _____ 20 _____ _____
b. 3,400,000 34,000 ____ 3.4 _____
c. _____ 8,570 _____ 85.7 8.57 _____
d. 444 4440 44,400 _____ _____ _____
e. ____ 9.5 950 95,000 _____ _____

4. After a lesson on exponents, Tia went home and said to her mom, “I learned that 104 is the same as 40,000.” She has made a mistake in her thinking. Use words, numbers or a place value chart to help Tia correct her mistake.

5. Solve 247 ÷ 102 and 247 × 102. a. What is different about the two answers? Use words, numbers or pictures to explain how the decimal point shifts.
b. Based on the answers from the pair of expressions above, solve 247 ÷ 103 and 247 × 103.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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