Question

Lydia also likes using the standard algorithm for multiplication. She has to solve 32 x 8.25. Recommend another strategy to Lydia, and show her how to use that strategy to solve this problem.

Answer 1

To solve 32 x 8.25 without the standard algorithm, Lydia can use the distributive property to separately multiply 32 by 8 and then by 0.25 (1/4), resulting in two simple multiplications: 256 and 8. Adding these together gives the answer, 264.

Step-by-step explanation:

To solve the multiplication problem 32 x 8.25 without the standard algorithm, Lydia can break down the number 8.25 into 8 and 0.25 (which is 1/4) and use the distributive property of multiplication over addition. This allows Lydia to multiply 32 by each part separately and then add the results together.

1. Multiply the whole number part: 32 x 8 = 256.
2. Multiply the fractional part, recognizing that multiplying by 1/4 is the same as dividing by 4: 32 x 0.25 = 32/4 = 8.
3. Add the results together: 256 + 8 = 264.

This strategy simplifies the calculation and can be done with simpler computations or even mental math.

Answer 2

We can use distributive law for the multiplication

And after multiplication result will be 264

Step-by-step explanation:

Lydia has to multiply 32×8.25

She is using standard algorithm of multiplication

Now we have to find the other way of multiplication of 32×8.25

We can use distributive law for the multiplication of the above number

We can write 8.25 as 8+0.25

So multiplication will become 32 ( 8+0.25 ) = 256 + 8 = 264

So after multiplication result will be 264