Decimal - Divide by 10, 100 and 1,000 - Worksheet

The worksheet on dividing by 10, 100, and 1,000 is designed to help students in Year 6 understand the place value system and the effect of division on decimal numbers. The National Curriculum objective is to identify the value of each digit in numbers given to three decimal places and to multiply and divide numbers by 10, 100, and 1,000, giving answers up to three decimal places. To facilitate learning, resources such as differentiated sheets and teaching slides are provided. The key vocabulary for the lesson includes terms such as decimals, place value, tenths, hundredths, thousandths, multiply, convert, place value holder, and divide. The exercises encourage students to recognise the significance of zero as a place holder and to understand that numbers like 2.4 and 2.40, or 12 and 12.0, are equivalent.

Students are presented with tables to complete, where they divide numbers by 10, 100, and 1,000, helping them to grasp the concept of how digits move within the place value system during division. The worksheet challenges students with varying levels of difficulty, including tables with missing numbers and exercises requiring the conversion of written words and partitioned decimals into numerals. The reasoning and problem-solving section further enhances understanding by asking students to find paths between numbers using division and multiplication, and to correct misconceptions about the movement of the decimal point. This section also includes tasks that require students to apply the rules of division to achieve a specified result, such as making the number 50 or 0.6, by choosing numbers and operations from given columns.