Home
Class 7
MATHS
Find the product : 2.04 xx 3.56...

Find the product :
`2.04 xx 3.56`

Text Solution

AI Generated Solution

The correct Answer is:
To find the product of 2.04 and 3.56, we will follow these steps: ### Step 1: Ignore the decimals and multiply the whole numbers First, we will ignore the decimals and multiply the numbers as if they were whole numbers. So, we will multiply 204 by 356. ### Step 2: Multiply 204 by 356 We will perform the multiplication step by step: 1. Multiply 6 (from 356) by 204: - \( 6 \times 4 = 24 \) (write down 4 and carry over 2) - \( 6 \times 0 = 0 \) (add the carry over 2, so \( 0 + 2 = 2 \)) - \( 6 \times 2 = 12 \) - So, the result of this multiplication is 1224. 2. Multiply 5 (from 356) by 204, but remember to shift one position to the left: - \( 5 \times 4 = 20 \) (write down 0 and carry over 2) - \( 5 \times 0 = 0 \) (add the carry over 2, so \( 0 + 2 = 2 \)) - \( 5 \times 2 = 10 \) - So, the result of this multiplication is 1020 (but shifted one position left gives us 10200). 3. Multiply 3 (from 356) by 204, and shift two positions to the left: - \( 3 \times 4 = 12 \) (write down 2 and carry over 1) - \( 3 \times 0 = 0 \) (add the carry over 1, so \( 0 + 1 = 1 \)) - \( 3 \times 2 = 6 \) - So, the result of this multiplication is 612 (but shifted two positions left gives us 61200). ### Step 3: Add all the results together Now, we will add the three results together: ``` 1224 10200 +61200 ------- 72624 ``` ### Step 4: Place the decimal point Now we need to place the decimal point in the product. - In 2.04, there are 2 digits after the decimal. - In 3.56, there are also 2 digits after the decimal. - Therefore, we have a total of 2 + 2 = 4 digits after the decimal in the final answer. So, we place the decimal point in 72624 to get 7.2624. ### Final Answer The product of 2.04 and 3.56 is **7.2624**. ---
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the product : 0.04 xx0.36

Find the products : 2.8 xx16

Find the product : 212.22 xx 3.05

Find the product : 45.12 xx 3.5

Find the products : 3.54 xx13

Find the product : 2.35 xx7.2

Find the product : 2.75 xx1.7

Find the product : 5.6 xx1.4

Find the product : 3.61 xx 4.04

Find the product : 3.67 xx 0.42