standard_description: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
problem_activity: Narrative
The purpose of this activity is for students to use their understanding of place value to make an equation true when a digit in a two-digit number is “missing.” Students consider the values of the digits in order to justify their thinking. Students may use connecting cubes in towers of 10 and singles, create drawings, or write about their reasoning.
MLR8 Discussion Supports.
Prior to solving the problems, invite students to make sense of the situations and take turns sharing their understanding with their partner. Listen for and clarify any questions about the context.
Advances: Reading, Representing
Action and Expression: Internalize Executive Functions.
Invite students to decide with their partners what tools they will use to find the missing digit. Allow time for students to organize tools.
Supports accessibility for: Organization, Attention
Required Materials
Materials to Gather
Connecting cubes in towers of 10 and singles
Launch
Groups of 2
Give students access to connecting cubes in towers of 10 and singles.
Activity
Read the task statement.
10 minutes: partner work time
Student Facing
This equation is true.
[IMG]
What digit is under the smudge?
Show your thinking using drawings, numbers, or words.
This equation is not true.
[IMG]
Show why it is not true using drawings, numbers, or words.
Student Response
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Activity Synthesis
Invite students to share how they determined the missing digit in the first equation.
Invite students to share how they know the second equation cannot be true.


aligns: no