# DIVISION STRATEGIES USING PLACE VALUE (partitioning ‐ HTU by TU for years 9 to 12)

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###### DESCRIPTION

This 3-page worksheet:

• Offers exercises in recording division using place value so that they can easily understand how division works: divide a multiple of the divisor and the remaining number and at the end add the partial quotients.
• Helps them learn how to partition numbers into hundreds, tens and ones, for mastering the role of place value in dividing.
• Teaches how to record division using partitioning for improvement of understanding: break the dividend into parts that are easy to divide as hundreds, tens and ones, solve these problems and then add the partial quotients.
• Shows learners what to do with examples of division, for them to feel confident that they are capable mathematicians.
• Provides instructions to partition numbers - where a multiple of the divisor and the remaining number are divided - to help learners quickly figure out the strategies that they prefer and work for them.
• Offers a different approach to division of HTU by TU, for facilitating learners' development.
• Links to mental methods of division by using place value, for ease of understanding.
###### THE STORY

You are teaching how to record division and think that it is the inverse of multiplication: so this must be is easy!

But, when you are showing 281 divided by 14, there is a remainder 1, right? How will you explain to a nine year old that division is just the inverse of multiplication?

Are you after regular mathematics practice? This worksheet explains for 9 to 12 year olds how division works for three digit numbers divided by a two digit number, so that they may understand the inverse relationship between multiplication and division clearly.

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