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Moving the Decimal to Multiply by 10
3 Pre & Primary Essentials Worksheets Mathematics Number & Place Value 1 Page

Moving the Decimal to Multiply by 10

In this worksheet, students learn and practice a new method for multiplying by 10 based on moving the decimal. While this method may be slightly more difficult for some students, it sets them up well for more difficult multiplication and division of 10s, 100s and 1000s, in later years. 

This worksheet is part of a larger unit designed to introduce students to a number of methods of multiplying by 10. Students learn to multiply through the use of arrays, multiple addition, skip counting, and moving the decimal.
 

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Learning goals

  • We are learning to recall multiplication facts for twos and apply to related division facts using doubling and halving.
  • We are learning to multiply and divide one- and two-digit numbers in word problems using a variety of strategies.
  • We are learning to recall multiplication facts for 3, 4, 5 and 10 and apply this to related division facts.
  • We are learning to recall multiplication facts of two, three, five and ten and related division facts.

Curriculum alignment

MA1-1WM old Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols MA1-2WM old Uses objects, diagrams and technology to explore mathematical problems MA1-3WM old Supports conclusions by explaining or demonstrating how answers were obtained MA1-4NA old Applies place value, informally, to count, order, read and represent two- and three-digit numbers MA1-6NA old Uses a range of mental strategies and concrete materials for multiplication and division MA2-6NA old Uses mental and informal written strategies for multiplication and division MA2-1WM old Uses appropriate terminology to describe, and symbols to represent, mathematical ideas MA2-2WM old Selects and uses appropriate mental or written strategies, or technology, to solve problems MA2-3WM old Checks the accuracy of a statement and explains the reasoning used MA1-FG-01 new Uses the structure of equal groups to solve multiplication problems, and shares or groups to solve division problems MA2-MR-02 new Completes number sentences involving multiplication and division by finding missing values MA2-MR-01 new Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems MA2-AR-02 new Completes number sentences involving addition and subtraction by finding missing values MA2-AR-01 new Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers MA2-RN-02 new Represents and compares decimals up to 2 decimal places using place value MA2-RN-01 new Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
VCMNA134 Recall multiplication facts of two, three, five and ten and related division facts VCMNA103 Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences VCMNA109 Recognise and represent division as grouping into equal sets and solve simple problems using these representations VCMNA114 Apply repetition in arithmetic operations, including multiplication as repeated addition and division as repeated subtraction VCMNA108 Recognise and represent multiplication as repeated addition, groups and arrays

Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.

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