{"id":140,"date":"2022-04-12T04:58:10","date_gmt":"2022-04-12T04:58:10","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=140"},"modified":"2025-11-18T10:33:51","modified_gmt":"2025-11-18T10:33:51","slug":"e-13-division-patterns-over-increasing-place-values","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/e-13-division-patterns-over-increasing-place-values\/","title":{"rendered":"E.13 Division patterns over increasing place values"},"content":{"rendered":"\n

Division patterns over increasing place values<\/strong><\/h2>\n\n\n\n

key notes:<\/p>\n\n\n\n

\ud83c\udf1f Division Patterns Over Increasing Place Values \ud83c\udf1f<\/strong><\/h2>\n\n\n\n

\ud83d\udd22 Division is sharing or grouping<\/strong><\/p>\n\n\n\n

Division means splitting a number into equal parts<\/strong>.<\/p>\n\n\n\n

Example: 12 \u00f7 3 = 4 \u2192 12 shared in 3 groups gives 4 in each.<\/p>\n\n\n\n

\ud83d\udcc8 Place Value Matters<\/strong><\/p>\n\n\n\n

Numbers are made of ones, tens, hundreds, thousands<\/strong>.<\/p>\n\n\n\n

When dividing, start with the highest place value first<\/strong>.<\/p>\n\n\n\n

Example: 432 \u00f7 3 \u2192 divide 400, then 30, then 2.<\/p>\n\n\n\n

\u2728 Pattern 1: Dividing Tens<\/strong><\/p>\n\n\n\n

If you divide 10, 100, 1000\u2026<\/strong> by a number, the pattern repeats<\/strong>:<\/p>\n\n\n\n

10 \u00f7 2 = 5<\/p>\n\n\n\n

100 \u00f7 2 = 50<\/p>\n\n\n\n

1000 \u00f7 2 = 500<\/p>\n\n\n\n

\ud83d\udcdd Notice: Adding a zero in the dividend adds a zero in the quotient.<\/p>\n\n\n\n

\u2728 Pattern 2: Multiples of the Divisor<\/strong><\/p>\n\n\n\n

Multiplying or dividing by 10, 100, 1000 moves the digits<\/strong>:<\/p>\n\n\n\n

6 \u00f7 2 = 3 \u2192 60 \u00f7 2 = 30 \u2192 600 \u00f7 2 = 300<\/p>\n\n\n\n

\u2705 Tip: Count the zeros to find the pattern quickly!<\/p>\n\n\n\n

\ud83d\udd04 Repeating Patterns in Quotients<\/strong><\/p>\n\n\n\n

Some numbers show repeating patterns<\/strong> when divided by 2, 5, 10.<\/p>\n\n\n\n

Example:<\/p>\n\n\n\n

20 \u00f7 2 = 10<\/p>\n\n\n\n

200 \u00f7 2 = 100<\/p>\n\n\n\n

2000 \u00f7 2 = 1000<\/p>\n\n\n\n

\ud83d\udca1 Quick Trick: Break & Divide<\/strong><\/p>\n\n\n\n

Break numbers into place values<\/strong> \u2192 divide each \u2192 combine:<\/p>\n\n\n\n

246 \u00f7 3 = (200 \u00f7 3) + (40 \u00f7 3) + (6 \u00f7 3)<\/p>\n\n\n\n

200 \u00f7 3 = 66 R2, 40 \u00f7 3 = 13 R1, 6 \u00f7 3 = 2 \u2192 Combine remainder.<\/p>\n\n\n\n

\ud83c\udfaf Key Tips for Students<\/strong><\/p>\n\n\n\n

Always start from left (highest place value)<\/strong>.<\/p>\n\n\n\n

Look for zeros and multiples<\/strong> to find patterns.<\/p>\n\n\n\n

Check your answer<\/strong> by multiplying quotient \u00d7 divisor = dividend.<\/p>\n\n\n\n

\ud83c\udf08 Fun Pattern Recognition<\/strong><\/p>\n\n\n\n

Encourage spotting division patterns<\/strong>:<\/p>\n\n\n\n

Dividing by 10 \u2192 drop 1 zero<\/p>\n\n\n\n

Dividing by 100 \u2192 drop 2 zeros<\/p>\n\n\n\n

Dividing by 5 \u2192 double and divide by 10<\/p>\n\n\n\n

\u2712\ufe0fLearn with an example\u2712\ufe0f<\/strong><\/p>\n\n\n\n

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\ud83d\udd25 Complete the pattern:<\/p>\n\n\n\n