About This Worksheet
This worksheet helps students practice multiplying and dividing by powers of ten through an underwater theme. Each problem starts with a measurement or quantity and asks students to change it by 10, 100, or 1,000. For example, 36.5 becomes 365 when multiplied by 10. The activity helps children connect place-value movement with real numbers they may see in science and measurement.
Curriculum and Grade Alignment
This fifth-grade worksheet supports CCSS.MATH.CONTENT.5.NBT.A.2, which focuses on how powers of ten affect the value and position of digits. Students should already know basic decimal place value and how to multiply or divide by 10. The next step is applying the same thinking to more complex decimal operations and real-world problem solving. This page gives students useful practice moving between those skills.
Student Tasks
On this worksheet, students will solve eight underwater-themed multiplication and division problems. They work with decimals and whole numbers while multiplying or dividing by 10, 100, or 1,000. Each problem asks students to find the new measurement or quantity after the place-value change. At the bottom, students complete a rule explaining what happens to digits when multiplying and dividing by powers of ten.
Common Challenges
Students may move the digits in the wrong direction when switching between multiplication and division. Another common mistake is moving only one place when the problem uses 100 or 1,000. Decimal values can also cause children to lose track of where the digits belong. Teachers can help by asking students to count the zeros in the power of ten and then count the same number of place-value shifts.
Teaching Tips
This worksheet works well as practice after students have learned the basic rules for multiplying and dividing by powers of ten. Teachers might solve one multiplication problem and one division problem as examples before students begin. At home, parents can ask children whether the answer should become larger or smaller before they calculate. That quick check can help students catch direction mistakes before they finish the problem.
Worksheet Features
The worksheet includes eight ocean-themed problems involving depth, sonar readings, pressure values, cables, and other underwater examples. Both multiplication and division appear on the same page, which gives students a stronger review of the full concept. Decimal numbers are included throughout so children practice more than just whole-number patterns. A final discovery statement reinforces how place values change in each operation.