Multiplying and dividing by powers of 10 worksheet

In an engaging mathematics worksheet designed for KS2 students, Activity 1 centres around the concept of multiplying and dividing by powers of 10. This hands-on activity requires a set of random whole number and decimal number cards, digit cards or dice representing 10, 100, and 1000, as well as whiteboards and pens for recording answers. Students begin by selecting a card from each pile and then multiplying or dividing the chosen number by 10, 100, or 1000, as determined by the dice or digit cards. After recording their answers on whiteboards, students are encouraged to share their results with the class and discuss the strategies they employed to reach their solutions.

Activity 2 builds on the previous exercise but adds an element of reverse calculation. In this activity, students use the same set of number cards and a dice marked with multiplication and division symbols followed by 10, 100, and 1000. The top card from the pile is drawn to represent the final answer, and the dice roll indicates the operation used. Students must deduce the original number before the operation was applied and record the starting calculation. For example, if the number 84 is drawn and the dice roll indicates x 100, students conclude that the starting number was 0.84, and the calculation was 0.84 x 100 = 84. This worksheet ties into the broader objective of multiplying and dividing numbers by 10, 100, and 1000 to give answers with up to two decimal places, and it is linked to converting measures in mass, capacity, and distance.