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 × 10^{2}

Problem 5: 3.4 × 10^{3}

Problem 6: 700 ÷ 10^{2}

Problem 7: 7.1 ÷ 10^{2}

Lesson 3 Problem Set

1. Write the following in exponential form (e.g., 100 = 10^{2}).

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 × 10^{2}= 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 = 10^{2} = 10 × 10).

a. 1,000 = ______________ = ______________

b. 100 × 100 = ______________ = ______________

2. Write the following in standard form (e.g., 4 × 10^{2} = 400).

a. 3 × 10^{2} = ______________

c. 800 ÷ 10^{2} = ______________

b. 2.16 × 10^{4}= ______________

d. 754.2 ÷ 10^{3} = ______________

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 = 10^{2}).

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 × 10^{2} = 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 10^{4} 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 ÷ 10^{2} and 247 × 10^{2}.
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 ÷ 10^{3} and 247 × 10^{3}.

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.

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 × 10

Problem 5: 3.4 × 10

Problem 6: 700 ÷ 10

Problem 7: 7.1 ÷ 10

Lesson 3 Problem Set

1. Write the following in exponential form (e.g., 100 = 10

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 × 10

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 ___ ___

1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor (e.g., 100 = 10

a. 1,000 = ______________ = ______________

b. 100 × 100 = ______________ = ______________

2. Write the following in standard form (e.g., 4 × 10

a. 3 × 10

c. 800 ÷ 10

b. 2.16 × 10

d. 754.2 ÷ 10

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 = 10

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 × 10

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 10

5. Solve 247 ÷ 10

b. Based on the answers from the pair of expressions above, solve 247 ÷ 10

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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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