{"id":30943,"date":"2023-06-27T12:24:50","date_gmt":"2023-06-27T12:24:50","guid":{"rendered":"https:\/\/moonpreneur.com\/math-corner\/?p=30943"},"modified":"2023-07-21T05:46:47","modified_gmt":"2023-07-21T05:46:47","slug":"urdhava-tiryagbyham","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/urdhava-tiryagbyham\/","title":{"rendered":"Vedic Math Sutra: Sutra 3 – Urdhava \u2013 Tiryagbyham"},"content":{"rendered":"\t\t
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In Vedic mathematics, “Urdhava-Tiryagbyham” is a <\/span>sutra<\/span><\/a> that refers to a multiplication technique. It is often translated as “vertically and crosswise.”<\/span><\/p>

The Urdhava-Tiryagbyham sutra is used for multiplying two-digit numbers mentally and quickly. It allows for multiplying numbers by breaking them down into more uncomplicated steps.<\/span><\/p>

Recommended Readings:<\/b> VEDIC MATH FOR KIDS: WHY IT IS IMPORTANT<\/span><\/a><\/p>

Here’s a step-by-step explanation of how the Urdhava-Tiryagbyham sutra works:<\/span><\/p>

Part 1<\/b><\/h4>

Let’s apply the Urdhava-Tiryagbyham method to multiply two-digit numbers 12×24\u00a0<\/b><\/p>

Step 1:<\/b> Multiply the right digits of the two numbers\u00a0 vertically\u00a0<\/span><\/p>

2×4-=8<\/span><\/p>

Answer 8 is the extreme right digit of our answer.<\/b><\/p>

Step 2: <\/b>Diagonally multiply the digits of our numbers<\/span><\/p>

(1×4)+(2×2)=8<\/span><\/p>

8 is the second digit of our answer.<\/b><\/p>

Step 3: <\/b>Vertically multiply the left digits of the two numbers<\/span><\/p>

1×2=2<\/span><\/p>

2 is the most left digit of our answer.<\/b><\/p>

So, using the Urdhava-Tiryagbyham method, 12×24 =288.<\/span><\/p>

Part 2<\/b><\/h4>

Let’s apply the Urdhava-Tiryagbyham method to multiply\u00a0<\/b><\/p>

three-digit number 244×432<\/b><\/p>

Step 1: <\/b>Multiply the extreme right numbers vertically\u00a0<\/span><\/p>

4×2=8<\/span><\/p>

8 is the first digit of our answer: we are going right to left<\/b><\/p>

Step 2:\u00a0 <\/b>Multiply the last two digits of the numbers diagonally\u00a0<\/span><\/p>

(4×2)+(3×4)<\/span><\/p>

8+12=20<\/span><\/p>

Zero is the second digit of our answer. Carryover 2.\u00a0<\/b><\/p>

Step 3: <\/b>Now multiply the extreme left and extreme right digits diagonally. Multiply the middle digits vertically.<\/span><\/p>

(2×2) + (4×4) + (4×3)<\/span><\/p>

4+16+12=32<\/span><\/p>

Now, add the carried-over number to this answer<\/span><\/p>

32+2=34<\/span><\/p>

4 is the third digit of the answer. Carryover 3.<\/b><\/p>

Step 4: <\/b>Now, multiply the first two digits of the numbers diagonally.<\/span><\/p>

(2×3) + (4×4)<\/span><\/p>

6+16=22<\/span><\/p>

Now add the carried-over number to the answer.<\/span><\/p>

22+3=25<\/span><\/p>

5 is the fourth digit of the answer. Carryover 2\u00a0<\/b><\/p>

Step 5: <\/b>Take the first digits of the numbers and multiply them vertically.<\/span><\/p>

2×4=8<\/span><\/p>

Now add carried-over number = 8+2=10<\/span><\/p>

The Final answer is 105408<\/b><\/p>

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\"16<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

In Vedic mathematics, “Urdhava-Tiryagbyham” is a sutra that refers to a multiplication technique. It is often translated as “vertically and crosswise.” The Urdhava-Tiryagbyham sutra is used for multiplying two-digit numbers mentally and quickly. It allows for multiplying numbers by breaking them down into more uncomplicated steps. Recommended Readings: VEDIC MATH FOR KIDS: WHY IT IS […]<\/p>\n","protected":false},"author":116,"featured_media":30945,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[980,981,982,983,978],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/30943"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=30943"}],"version-history":[{"count":13,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/30943\/revisions"}],"predecessor-version":[{"id":31253,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/30943\/revisions\/31253"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/30945"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=30943"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=30943"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=30943"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}