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

The worksheet from masterthecurriculum.co.uk is designed to help Year 6 students understand and practice multiplying decimals by 10, 100, and 1,000. The National Curriculum objective for this lesson is to identify the value of each digit in numbers to three decimal places and multiply these numbers by 10, 100, and 1,000, giving answers up to three decimal places. It also includes multiplying 1-digit numbers with up to two decimal places by whole numbers. To facilitate learning, the worksheet provides differentiated sheets and teaching slides, and encourages the use of a place value grid and counters to visualise the multiplication process.

Key vocabulary for this lesson includes terms such as 'decimals', 'place value', 'tenths', 'hundredths', 'thousandths', 'multiply', 'multiples', and 'Gattegno'. The activities guide children to discover that when multiplying by these factors, the digits shift to the left on the place value chart, and the decimal point remains fixed. Students use zero as a placeholder to maintain the correct value. Once they grasp multiplying by 10, 100, and 1,000, they progress to multiplying by multiples of these numbers (e.g., 2.4 × 20). The worksheet provides a structured approach to learning with questions that encourage reasoning and problem solving, such as the importance of zero in multiplication and identifying patterns in the multiplication process.