{"id":118,"date":"2022-04-12T04:53:40","date_gmt":"2022-04-12T04:53:40","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=118"},"modified":"2025-11-18T09:07:03","modified_gmt":"2025-11-18T09:07:03","slug":"e-3-properties-of-division","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/e-3-properties-of-division\/","title":{"rendered":"E.3 Properties of division"},"content":{"rendered":"\n
\n

Properties of division<\/strong><\/h2>\n\n\n\n

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

\ud83c\udf1f Properties of Division \u2797<\/h2>\n\n\n\n

Division is not commutative<\/strong> \u274c\ud83d\udd04<\/p>\n\n\n\n

Unlike addition and multiplication, you cannot swap<\/strong> the numbers.<\/p>\n\n\n\n

Example: 12\u00f73=4 \u2705 but 3\u00f712=0.25 \u274c<\/p>\n\n\n\n

Division is not associative<\/strong> \u274c\ud83d\udd17<\/p>\n\n\n\n

You cannot group<\/strong> numbers differently to make it easier.<\/p>\n\n\n\n

Example: (12\u00f73)\u00f72=2 \u2705 but 12\u00f7(3\u00f72)=8 \u274c<\/p>\n\n\n\n

Division by 1<\/strong> \u27971\ufe0f\u20e3<\/p>\n\n\n\n

Any number divided by 1 is the same number<\/strong>.<\/p>\n\n\n\n

Example: 7\u00f71=7 \u2705<\/p>\n\n\n\n

Division by itself<\/strong> \u2797\u2716\ufe0f<\/p>\n\n\n\n

Any number divided by itself is 1<\/strong> (except 0).<\/p>\n\n\n\n

Example: 9\u00f79=1 \u2705<\/p>\n\n\n\n

Division by 0 is undefined<\/strong> \ud83d\udeab0\ufe0f\u20e3<\/p>\n\n\n\n

You cannot divide<\/strong> a number by 0.<\/p>\n\n\n\n

Example: 5\u00f70=?\u274c<\/p>\n\n\n\n

Zero divided by a number<\/strong> 0\ufe0f\u20e3\u2797<\/p>\n\n\n\n

Zero divided by any number is 0<\/strong>.<\/p>\n\n\n\n

Example: 0\u00f75=0 \u2705<\/p>\n\n\n\n

Division distributes over addition\/subtraction<\/strong> \u2797\u2795\u2796<\/p>\n\n\n\n

You can divide a sum or difference<\/strong> by a number.<\/p>\n\n\n\n

Example: (12+6)\u00f73 = 18\u00f73=6 \u2705<\/p>\n\n\n\n

Also: 12\u00f73+6\u00f73 = 4+2=6\u2705<\/p>\n\n\n\n

Checking with multiplication<\/strong> \ud83d\udd01\u2716\ufe0f<\/p>\n\n\n\n

Division can be checked using multiplication<\/strong>.<\/p>\n\n\n\n

Example: 12\u00f74=3 \u2705 because 3\u00d74=12 \u2705<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
\n

\ud83d\udd25 Type a related multiplication fact for 32 \u00f7 4 = 8.<\/p>\n\n\n\n

Use the letter x as the multiplication sign.<\/p>\n<\/div><\/div>\n\n\n\n

A related multiplication fact is a multiplication number sentence that uses the same numbers.<\/p>\n\n\n\n

There are two related multiplication facts for this division fact.<\/p>\n\n\n\n

8 \u00d7 4 = 32<\/p>\n\n\n\n

4 \u00d7 8 = 32<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83d\udd25 Type a related multiplication fact for 28 \u00f7 7 = 4.<\/p>\n\n\n\n

Use the letter x as the multiplication sign.<\/p>\n<\/div><\/div>\n\n\n\n

solution:<\/strong><\/h5>\n\n\n\n

A related multiplication fact is a multiplication number sentence that uses the same numbers.<\/p>\n\n\n\n

There are two related multiplication facts for this division fact.<\/p>\n\n\n\n

4 \u00d7 7 = 28<\/p>\n\n\n\n

7 \u00d7 4 = 28<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83d\udd25 If 36 \u00f7 4 = 9, then…<\/p>\n\n\n\n

4 \u00d7 9 = <\/p>\n<\/div><\/div>\n\n\n\n

If 36 \u00f7 4 = 9, then…<\/p>\n\n\n\n

9 \u00d7 4 = 36
4 \u00d7 9 = 36<\/p>\n\n\n\n

Use the second equation. The number 36 must go in the blank space.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice:<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n
\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Properties of division key notes: \ud83c\udf1f Properties of Division \u2797 Division is not commutative \u274c\ud83d\udd04 Unlike addition and multiplication, you cannot swap the numbers. Example: 12\u00f73=4 \u2705 but 3\u00f712=0.25 \u274c Division is not associative \u274c\ud83d\udd17 You cannot group numbers differently to make it easier. Example: (12\u00f73)\u00f72=2 \u2705 but 12\u00f7(3\u00f72)=8 \u274c Division by 1 \u27971\ufe0f\u20e3 AnyContinue reading “E.3 Properties of division”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-118","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=118"}],"version-history":[{"count":26,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/118\/revisions"}],"predecessor-version":[{"id":16730,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/118\/revisions\/16730"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}