Solve place value number problems worksheet

The worksheet presents a series of activities designed to help children understand and solve problems related to place value. In Activity 1, children use blank number lines to practice identifying the position of 5 and 6-digit numbers. They are encouraged to explain their reasoning for placing each number, which helps to reinforce their understanding of number sequences and intervals. For a more interactive experience, a variation of this activity involves creating a giant number line in a large space, such as a hall or playground, where children can physically place themselves in the correct position, making it an engaging exercise for small groups or pairs.

Activity 2 challenges children with a set of 0-9 digit cards. Each child or pair is given five digit cards and asked to create as many different 5-digit numbers as possible, identifying the largest and smallest numbers they can make. They must consider the impact of having 0 as one of the digits on the number of possible combinations. The activity can be extended to include six digit cards for creating 6-digit numbers. In Activity 3, children use place value (PV) counters and a PV grid to explore different ways a given 5 or 6-digit number can be represented, with pairs checking each other's work. These activities aim to solve number problems and practical problems involving place value concepts, as detailed in the objectives section.

Further activities involve more complex challenges, such as Activity 4, where children deduce that a 6-digit number, when the units digit 4 is moved to the beginning, becomes four times the original number, with the answer being 102,564. In Activity 5, they use clues to figure out a 5-digit number Amir is thinking of, which turns out to be 16824. Lastly, Activity 6 introduces a problem-solving scenario where Jo is thinking of two numbers that add up to 20, have a product with a units digit of 1, and a difference of less than 10. The solution to Jo's riddle is the numbers 7 and 13. These activities not only enhance place value skills but also incorporate elements of multiplication, addition, and deduction, fostering a comprehensive mathematical understanding.