Place value number problems worksheet

The worksheet presents a series of activities aimed at helping children solve number problems and practical problems through understanding place value. In Activity 1, children use blank number lines to grasp the concept of sequencing and positioning three-digit numbers. They must decide on a start and end point, then place specific numbers accurately. The activity encourages children to think about their reasoning and can be adapted for kinesthetic learning by using a large, physical number line in an open space where children can position themselves accordingly.

Activity 2 challenges children to create different three-digit numbers from a given set of 0-9 digit cards. They are prompted to determine the largest and smallest possible numbers they can make, and to consider the impact of including the digit '0'. This leads to a deeper understanding of how digit placement affects a number's value. In Activity 3, children are given a three-digit number and asked to represent it in various ways using place value (PV) counters and a PV grid, offering hands-on experience with numerical representation. The subsequent activities involve solving clues to deduce a specific number, finding numbers that meet certain criteria, and calculating the number of possible three-digit combinations under various constraints. The worksheet culminates with a challenge that requires higher-order thinking to determine how many three-digit numbers can be formed when digits may or may not be repeated.