Question

Solve 2.64×0.00921(separately)

Answer 1

Solve 2.647×0.00921(separately showing solvings)

Answer 2

Use log table to answer

Answer 3

Now divide(substract) by the denominator0.05738

Answer 4

Without antilog of numerator but of denominator

Answer 5

2.64 × 0.00921 = 0.0243044

Answer 6

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

Answer 7

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.

Answer 8

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.

Answer 9

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.