{"id":81,"date":"2022-04-11T14:27:02","date_gmt":"2022-04-11T14:27:02","guid":{"rendered":"http:\/\/3rdclass.deltapublications.in\/?page_id=81"},"modified":"2025-11-06T06:02:38","modified_gmt":"2025-11-06T06:02:38","slug":"d-5-balance-subtraction-equations-up-to-three-digits","status":"publish","type":"page","link":"https:\/\/3rdclass.deltapublications.in\/index.php\/d-5-balance-subtraction-equations-up-to-three-digits\/","title":{"rendered":"D.5 Balance subtraction equations – up to three digits"},"content":{"rendered":"\n

Balance subtraction equations – up to three digits<\/strong><\/h2>\n\n\n\n

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

\ud83e\uddee What is a Balanced Equation?<\/strong><\/h3>\n\n\n\n

A balanced equation means both sides are equal<\/strong>.
\ud83d\udc49 Left side = Right side
Example:
45 \u2212 20 = 25<\/strong> \u2705<\/p>\n\n\n\n

\n\n\n\n

\u2696\ufe0f Both Sides Must Stay Equal<\/strong><\/h3>\n\n\n\n

If you change one side, you must change the other side in the same way<\/strong> to keep it balanced.
Example:
90 \u2212 40 = 50<\/strong>
Add 10 to both sides:
(90 \u2212 40) + 10 = 50 + 10 \u2192 60 = 60<\/strong> \u2705<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udd22 Three-Digit Numbers (100\u2013999)<\/strong><\/h3>\n\n\n\n

You will subtract using numbers with 3 digits<\/strong>.
Example:
345 \u2212 120 = 225<\/strong> \u2705<\/p>\n\n\n\n

\n\n\n\n

\ud83e\udde0 Think of a See-Saw!<\/strong><\/h3>\n\n\n\n

Balancing equations is like a see-saw \u2696\ufe0f<\/strong> \u2014 both sides should weigh the same.
If one side goes up \u2b06\ufe0f or down \u2b07\ufe0f, fix the other side!<\/p>\n\n\n\n

\n\n\n\n

\u2796 Check by Subtracting Again<\/strong><\/h3>\n\n\n\n

To see if an equation is balanced:
\u2705 Solve both sides
\u2705 Compare answers
If equal \u2192 Balanced
If not \u2192 NOT balanced \u274c<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udfe9 Spot the Missing Number<\/strong><\/h3>\n\n\n\n

Sometimes a number is missing.
Find the number that keeps both sides equal.
Example:
300 \u2212 ___ = 120<\/strong>
300 \u2212 180 = 120
So the missing number is 180<\/strong> \u2728<\/p>\n\n\n\n

\n\n\n\n

\ud83e\udde9 Rewrite Both Sides<\/strong><\/h3>\n\n\n\n

Always subtract first<\/strong>, then compare.
Example:
250 \u2212 75<\/strong> and 300 \u2212 125<\/strong>
250 \u2212 75 = 175
300 \u2212 125 = 175
\u2705 Balanced!<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udcdd Use Number Line or Place Value<\/strong><\/h3>\n\n\n\n

If subtraction is difficult, use:
\ud83d\udd39 Place value chart
\ud83d\udd39 Number line
\ud83d\udd39 Borrowing (regrouping)<\/p>\n\n\n\n

\n\n\n\n

\ud83c\udf1f Summary<\/h2>\n\n\n\n
\u2705 Balanced Equation<\/th>\u274c Not Balanced<\/th><\/tr><\/thead>
400 \u2212 150 = 250<\/td>510 \u2212 200 = 400 (310 \u2260 400)<\/td><\/tr>
235 \u2212 35 = 200<\/td>600 \u2212 100 = 450 (500 \u2260 450)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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

\n
\n

Which number makes the equation true?<\/strong><\/p>\n\n\n\n

915 \u2212 82 = 840 \u2212 ?<\/p>\n<\/div><\/div>\n\n\n\n

First, subtract 915 \u2212 82:<\/p>\n\n\n\n

915 \u2212 82 = 840 \u2212 ?<\/p>\n\n\n\n

833 = 840 \u2212 ?<\/p>\n\n\n\n

Find the number that makes the subtraction number sentence true.<\/p>\n\n\n\n

840 \u2212 ? = 833<\/p>\n\n\n\n

Subtract 833 from both sides:<\/p>\n\n\n\n

840 \u2212 ? \u2212 833 = 833 \u2212 833<\/p>\n\n\n\n

7 \u2212 ? = 0<\/p>\n\n\n\n

Now, find the number that goes in the blank space. Remember, when a number is subtracted from itself, the difference is zero. The number in the blank space must be 7.<\/p>\n\n\n\n

The missing number is 7<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

Which number makes the equation true?<\/strong><\/p>\n\n\n\n

407 \u2212 84 = ?<\/strong> \u2212 94<\/p>\n<\/div><\/div>\n\n\n\n

First, subtract 407 \u2212 84:<\/p>\n\n\n\n

407 \u2212 84 = ? \u2212 94<\/p>\n\n\n\n

323 = ? \u2212 94<\/p>\n\n\n\n

Find the number that makes the subtraction number sentence true.<\/p>\n\n\n\n

? \u2212 94 = 323<\/p>\n\n\n\n

Add 94 to both sides:<\/p>\n\n\n\n

? \u2212 94 + 94 = 323 + 94<\/p>\n\n\n\n

? = 417<\/p>\n\n\n\n

The missing number is 417<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

Which number makes the equation true?<\/strong><\/p>\n\n\n\n

928 \u2212 ?<\/strong> = 941 \u2212 120<\/p>\n<\/div><\/div>\n\n\n\n

First, subtract 941 \u2212 120:<\/p>\n\n\n\n

928 \u2212 ? = 941 \u2212 120<\/p>\n\n\n\n

928 \u2212 ? = 821<\/p>\n\n\n\n

Subtract 821 from both sides:<\/p>\n\n\n\n

928 \u2212 ? \u2212 821 = 821 \u2212 821<\/p>\n\n\n\n

107 \u2212 ? = 0<\/p>\n\n\n\n

Now, find the number that goes in the blank space. Remember, when a number is subtracted from itself, the difference is zero. The number in the blank space must be 107.<\/p>\n\n\n\n

The missing number is 107<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s practice!<\/p>\n\n\n\n

\n
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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Balance subtraction equations – up to three digits key notes : \ud83e\uddee What is a Balanced Equation? A balanced equation means both sides are equal.\ud83d\udc49 Left side = Right sideExample:45 \u2212 20 = 25 \u2705 \u2696\ufe0f Both Sides Must Stay Equal If you change one side, you must change the other side in the sameContinue reading “D.5 Balance subtraction equations – up to three digits”<\/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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-81","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/81","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=81"}],"version-history":[{"count":19,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/81\/revisions"}],"predecessor-version":[{"id":20036,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/81\/revisions\/20036"}],"wp:attachment":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=81"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}