Solve 2.64×0.00921(separately)
2.64 × 0.00921 = 0.0243044
Solve 2.647×0.00921(separately showing solvings)
To solve 2.647 × 0.00921, we can multiply the numbers using the following steps:
Step 1: Line up the decimal points:
2.647
x 0.00921
---------
Step 2: Ignore the decimal points and multiply as regular numbers:
2647
x 921
---------
Step 3: Multiply the ones place: 7 x 1 = 7
2647
x 921
---------
7
Step 4: Multiply the tens place: 4 x 1 = 4
2647
x 921
---------
47
Step 5: Multiply the hundreds place: 6 x 1 = 6
2647
x 921
---------
647
Step 6: Multiply the thousands place: 2 x 1 = 2
2647
x 921
---------
2,647
Step 7: Multiply the ones place with the second number:
2.647
x 0.00921
----------
2,647
Step 8: Count the number of decimal places in the original numbers (3 in 2.647 and 5 in 0.00921). Add the decimal places together: 3 + 5 = 8.
Step 9: Place the decimal point in the product, counting from the right, using the total number of decimal places obtained in Step 8 (8 from Step 8):
2.647 × 0.00921 = 0.02439487
Use log table to answer
To use a logarithm table to solve 2.647 × 0.00921, we can take the logarithm of each number to simplify the multiplication.
Step 1: Look up the logarithm of 2.647 from the table.
The logarithm of 2.647 is 0.4225 (approximately).
Step 2: Look up the logarithm of 0.00921 from the table.
The logarithm of 0.00921 is -3.0367 (approximately).
Step 3: Add the logarithms obtained in Step 1 and Step 2.
0.4225 + (-3.0367) = -2.6142 (approximately).
Step 4: Use the table to find the antilogarithm (inverse logarithm) of the result obtained in Step 3.
The antilogarithm of -2.6142 is 0.00375 (approximately).
Therefore, 2.647 × 0.00921 is approximately equal to 0.00375.
Now divide(substract) by the denominator0.05738
To divide 0.00375 by the denominator 0.05738, we can subtract the logarithms of the numbers using the logarithm table.
Step 1: Look up the logarithm of 0.00375 from the table.
The logarithm of 0.00375 is -2.425 (approximately).
Step 2: Look up the logarithm of 0.05738 from the table.
The logarithm of 0.05738 is -1.2412 (approximately).
Step 3: Subtract the logarithms obtained in Step 1 and Step 2.
-2.425 - (-1.2412) = -1.1838 (approximately).
Step 4: Use the table to find the antilogarithm (inverse logarithm) of the result obtained in Step 3.
The antilogarithm of -1.1838 is 0.0911 (approximately).
Therefore, dividing or subtracting 0.00375 by 0.05738 gives an approximate result of 0.0911.
Without antilog of numerator but of denominator
To divide 0.00375 by the denominator 0.05738 without finding the antilogarithm of the numerator, we can use the logarithmic properties and subtract the logarithms.
Step 1: Take the logarithm of the denominator 0.05738.
The logarithm of 0.05738 is approximately -1.2412.
Step 2: Subtract the logarithm of the denominator from the logarithm of the numerator.
log(0.00375) - log(0.05738) = log(0.00375/0.05738)
Step 3: Simplify the subtraction of logarithms by dividing the numerator by the denominator.
log(0.00375/0.05738) = log(0.00375) - log(0.05738) = -2.425 - (-1.2412) = -2.425 + 1.2412 = -1.1838
Therefore, dividing 0.00375 by 0.05738 without finding the antilogarithm of the numerator gives an approximate result of -1.1838.
To solve the multiplication problem 2.64 × 0.00921, follow these steps:
Step 1: Multiply the number before the decimal point.
2.64 × 0.00921 = 0.0242984
Step 2: Count the decimal places in both numbers and add them together.
The number 2.64 has two decimal places, and the number 0.00921 has five decimal places. Therefore, the total number of decimal places is two + five = seven.
Step 3: Adjust the decimal point in the product.
Starting from the right side of the product, move the decimal point seven places to the left.
0.0242984 becomes 0.0000242984
So, the solution to 2.64 × 0.00921 is approximately 0.0000242984.
Remember, when multiplying decimals, it is crucial to align the decimal points correctly and then adjust the decimal point in the final answer based on the total number of decimal places.