# Activities to Teach Students to Multiply by a Power of Ten With Decimals: Find the Missing Number

Multiplication by a power of ten is an essential mathematical concept that students must learn in order to excel in higher-level math. In particular, understanding how to multiply by a power of ten with decimals is crucial in many real-world applications. One way teachers can help students learn this concept is through engaging activities that encourage active participation and deeper understanding. In this article, we will explore a fun and interactive activity that helps students learn how to multiply by a power of ten with decimals while also practicing their critical thinking and problem-solving skills.

Activity: Find the Missing Number

Objective:

To help students learn how to multiply decimals by a power of ten and to practice critical thinking skills.

Materials:

– Whiteboard or chalkboard
– Markers or chalk
– Number cards (with decimals)
– Envelopes

Instructions:

1. Divide the class into groups of three or four.

2. Write a decimal number with a power of ten on the board, such as 4.6 x 1,000.

3. Place several envelopes on the board, each with a number card inside.

4. Each group will choose an envelope, open it, and place the number card in the right-hand column of the multiplication problem on the board.

5. Each group will then work together to solve the multiplication problem and fill in the missing number in the left-hand column.

6. Once all groups have completed the problem, they will share their answer with the class.

7. As a class, discuss the different strategies that groups used to solve the problem, emphasizing the importance of understanding place value and the concept of multiplying by powers of ten.

8. Repeat steps 2-7 with different multiplication problems and number cards.

Variations:

– To make the activity more challenging, use larger numbers with multiple digits before and after the decimal point.
– Instead of placing the number cards in envelopes, have students draw them from a hat or container.
– Have students create their own multiplication problems and exchange them with other groups.

Benefits:

This activity helps students develop a deeper understanding of the concept of multiplication by a power of ten with decimals. By working together in groups, they also develop their collaboration and communication skills. Additionally, the activity encourages critical thinking and problem-solving skills as students must use their knowledge of place value and multiplication to find the missing number. Finally, the use of envelopes and number cards adds a fun and interactive element to the activity, making it more engaging and memorable for students.

Conclusion:

Teaching students how to multiply by a power of ten with decimals is crucial for their success in math and in many real-world applications. By using interactive and engaging activities such as “Find the Missing Number,” teachers can help students develop a deeper understanding of this concept while also practicing their critical thinking and problem-solving skills. These skills will help students become confident and proficient in math, laying the foundation for success in their academic and professional lives.