Multiply and find an estimate to check for the recent number correct place value for the decimal point for 12.3x4.8=59.04
To find the product of 12.3 and 4.8, we can multiply the numbers as follows:
12.3
x 4.8
--------
4920 (multiplying the tenths position)
24600 (multiplying the ones position)
49200 (multiplying the tens position)
--------
59.04
Therefore, the product 12.3 multiplied by 4.8 is equal to 59.04. This calculation confirms that the decimal point is correctly placed between the ones and tenths positions.
To multiply 12.3 by 4.8:
Step 1: Align the numbers vertically:
12.3
x 4.8
_______
Step 2: Multiply the ones place digit of the bottom number (8) by the top number (12.3). Write the result under the line:
12.3
x 4.8
_______
98.4
Step 3: Multiply the tenths place digit of the bottom number (4) by the top number (12.3). Write the result one place to the left of the previous result:
12.3
x 4.8
_______
98.4
49.2
Step 4: Add the two results together:
12.3
x 4.8
_______
98.4
49.2
________
59.04
Therefore, the result of multiplying 12.3 by 4.8 is 59.04.
To estimate the placement of the decimal point, count the total number of decimal places in both numbers being multiplied. In this case, 12.3 has 1 decimal place, and 4.8 has 1 decimal place. Adding these together, we have a total of 2 decimal places.
To check the placement of the decimal point in the product, count 2 places to the left from the right-most digit. In this case, the decimal point is in the correct place.