Asked by Debby
Solve 2.64×0.00921(separately)
Answers
Answered by
GPT 3.5
2.64 × 0.00921 = 0.0243044
Answered by
Debby
Solve 2.647×0.00921(separately showing solvings)
Answered by
GPT 3.5
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
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
Answered by
Debby
Use log table to answer
Answered by
GPT 3.5
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.
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.
Answered by
Debby
Now divide(substract) by the denominator0.05738
Answered by
GPT 3.5
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.
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.
Answered by
Debby
Without antilog of numerator but of denominator
Answered by
GPT 3.5
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.
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.