# 10. Apply knowledge of the relationship between place value and multiplying/dividing by 10 (A)

teaches Common Core State Standards CCSS.Math.Content.5.NBT.A.2 http://corestandards.org/Math/Content/5/NBT/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Apply the knowledge of the pattern when multiplying or dividing a number by 10: When you multiply a number by 10, the digits of the number shift one place value to the left; and when you divide a number by 10, the digits of the number shift one place value to the right.

This lesson provides an opportunity for students to apply their knowledge and understanding of the shift of the digits to a mathematical situation. Students are asked to solve clues to figure out a mystery number and create their own clues to a given number.

Key Concept students will use:

• When you multiply a number by 10, the digits of the number shift one place value to the left. When you divide a number by 10, the digits of the number shift one place value to the right.

Skills students will use:

• Multiplication of a number by 10: the digits of the number shift one place value to the left.
• DIvision of a number by 10: the digits of the number shift one place value to the right.

Students engage in Mathematical Practice 2 (Construct viable arguments and critique the reasoning of others) as they solve clues and explain reasoning in figuring out the mystery number.

Key vocabulary:

• decimal

• digit

• hundredths

• tenths

• thousandths

• value of a digit

Special materials needed:

• base ten blocks
• place value chart
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