# Multiply Powers of 10

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Lesson Plans and Worksheets for Grade 5
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Common Core For Grade 5

Examples, solutions, videos and lessons to help Grade 5 students learn how to multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.

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

New York State Common Core Math Grade 5, Module 2, Lesson 1

Lesson 1 Concept Development

Problems 1 - 4
4 × 30
40 × 30
40 × 300
4,000 × 30

Problems 5 - 8
60 × 5
60 × 50
60 × 500
60 × 5,000

Problems 9 - 12
451 × 8
451 × 80
4,510 × 80
4,510 × 800
40 × 50
450 × 30

Lesson 1 Problem Set

1. Fill in the blanks using your knowledge of place value units and basic facts.
b. 230 × 20
Think: 23 tens × 2 tens = ____
230 × 20 = ______
d. 410 × 400
41 tens × 4 hundreds = 164 ____
410 × 400 = ______
f. 500 × 600
____hundreds × _____hundreds = 30 ____
500 × 600 = _______
2. Determine if these equations are true or false. Defend your answer using your knowledge of place value and the commutative, associative, and/or distributive properties.
a. 6 tens = 2 tens × 3 tens
b. 44 × 20 × 10 = 440 × 2
3. Find the products. Show your thinking.
b. 45 × 3
45 × 30
450 × 30
450 × 300
5. The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second. How many gallons of water flow over the falls in 1 minute? Lesson 1 Homework

This video shows how to use the distributive property to solve multiplication problems involving factors of 10, 100 etc...
1. Fill in the blanks using your knowledge of place value units and basic facts.
a. 43 × 30
Think: 43 ones × 3 tens = ___________ tens
43 × 30 = ____________
b. 430 × 30
Think: 43 tens × 3 tens = ________hundreds
430 × 30 = _____________
2. Determine if these equations are true or false. Defend your answer using your knowledge of place value and the commutative, associative, and/or distributive properties.
a. 35 hundreds = 5 tens × 7 tens
3. Find the products. Show your thinking. The first row gives some ideas for showing your thinking.
a. 5 × 5 = 25
5 × 50 = 25 × 10 = 250
50 × 50 = (5 × 10) × (5 × 10) = (5 × 5) × 100 = 2,500
50 × 500 = (5 × 5) × (10 × 100) = 25,00
b. 80 × 5 =
80 × 50 =
800 × 500 =
8,000 × 50 =

4. A concrete stepping stone measures 20 inches square. What is the area of 30 such tiles?

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