5.   When using Vertically and Crosswise to calculate 3245 x 5248 , what is the result of the 4th step before any carry digits have been added?

2/2

38

40

41

65

75

The calculation of \(3245 \times 5248\) using the Vertically and Crosswise method can be broken down step by step. The Vertically and Crosswise method is a technique from Vedic Mathematics used for multiplying multi-digit numbers efficiently. The multiplication is performed digit by digit, starting from the rightmost digits and progressively incorporating the others.

Here's a breakdown of the process for \(3245 \times 5248\), step by step:

1. **Step 1**: Multiply the rightmost digits: \(5 \times 8 = 40\). The result is 0 with a carry of 4.
2. **Step 2**: Now cross-multiply the next digits: \(4 \times 8 + 5 \times 4 = 32 + 20 = 52\). Adding the previous carry of 4 results in \(52 + 4 = 56\). So, write 6 and carry over 5.
3. **Step 3**: Now do the triple cross-products: \(2 \times 8 + 4 \times 4 + 5 \times 2 = 16 + 16 + 10 = 42\). Add the carry from the previous step: \(42 + 5 = 47\). Write down 7 and carry over 4.
4. **Step 4**: Cross-multiply all four digits: \(3 \times 8 + 2 \times 4 + 4 \times 2 + 5 \times 5 = 24 + 8 + 8 + 25 = 65\). Adding the previous carry of 4 gives \(65 + 4 = 69\).

So, before adding any carry digits, the result of the 4th step is **65**.

The correct answer is **65**.

Would you like further clarification on this method?

Here are 5 related questions for practice:
1. How does the Vertically and Crosswise method simplify large multiplication?
2. What is the difference between traditional long multiplication and this method?
3. Can you apply this technique to multiplying three-digit numbers?
4. What role do carry digits play in Vedic multiplication?
5. How does this method change for numbers with different digit lengths?

**Tip**: Practice the Vertically and Crosswise method with smaller numbers to get familiar with cross-multiplication patterns.

When using Vertically and Crosswise to calculate 3245 x 5248, what is the result of the 4th step before any carry digits have been added?

Explore how to use the Vertically and Crosswise method from Vedic Mathematics to calculate 3245 x 5248. This guide focuses on step-by-step multiplication, with the result of the 4th step being 65 before adding carry digits. Perfect for high school students learning advanced multiplication techniques.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation