Multiply 152.50 with 10.75 step by step
1. Multiply 152.50 with 5 (half of 10.75) :
152.50 x 5 = 762.50
2. Multiply 152.50 with 10 (double of 5) :
152.50 x 10 = 1525.00
3. Multiply 152.50 with 0.75 (remaining part of 10.75 after 5) :
152.50 x 0.75 = 114.375
4. Add the results of step 2 and step 3:
1525.00 + 114.375 = 1639.375
Therefore, 152.50 x 10.75 = 1639.375.
😔How?show step by step
Sure, here are the step by step calculations:
1. Multiply 152.50 by 5:
152.50 x 5 = 762.50
2. Multiply 152.50 by 10:
152.50 x 10 = 1525.00
3. Multiply 152.50 by 0.75:
152.50 x 0.75 = 114.375
4. Add the results of step 2 and step 3:
1525.00 + 114.375 = 1639.375
Therefore, the answer to 152.50 multiplied by 10.75 is 1639.375.
Why did we multiply it with 10 not by 7?
We multiplied by 10 because 10.75 is a decimal number with a whole number component (10) and a decimal component (0.75).
Hence, multiplying by 10 gives us the product of the whole number component, which is 1525.
We then need to multiply the decimal component (0.75) by 152.50 separately, which gives us 114.375. Adding this to the product of the whole number component gives us the final answer of 1639.375.
If we had multiplied by 7 instead, it would not have given us the correct answer because we would have ignored the decimal component of 10.75.
To multiply 152.50 by 10.75 step by step, follow these steps:
Step 1: Write down the first number (152.50) and the second number (10.75) vertically.
```
152.50
x 10.75
```
Step 2: Starting from the rightmost digit of the second number (10.75), multiply it individually with each digit of the first number (152.50), working from right to left. Write down each partial product underneath the corresponding digit of the second number.
```
152.50
x 10.75
----------
15250 (partial product of 10.75 x 0)
30500 (partial product of 10.75 x 5)
76250 (partial product of 10.75 x 2)
-----------
```
Step 3: Add up the partial products to get the final product.
```
15250
+ 30500
+ 76250
-----------
164075
```
Therefore, the result of multiplying 152.50 by 10.75 is 164,075.