Multiplication And Division Calculator

[ 3 Votes ]

The Multiplication And Division Calculator will calculate:

Multiplication And Division Calculator Parameters: All numbers are computed to a minimum of one decimal place. please use / key for ÷ [divide] symbol and * key for × [times] symbol.

Multiplication And Division Calculator
Results (detailed calculations and formula below)
Standard calculator result for calculation of (ƒ) =
Least number of decimals calculation of (ƒ)
Significant Figures calculation of (ƒ) [ Significant Figures]
Standard calculator calculation
ƒ =
ƒ =
ƒ =
Least number of decimals calculation
ƒ =
ƒ =
ƒ =
ƒ =
Multiplication And Division Calculator Input Values
Formula (ƒ) =

Please note that the formula for each calculation along with detailed calculations is shown further below this page. As you enter the specific factors of each multiplication and division calculation, the Multiplication And Division Calculator will automatically calculate the results and update the formula elements with each element of the multiplication and division calculation. You can then email or print this multiplication and division calculation as required for later use.

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[ 3 Votes ]
Multiplication And Division. This image shows the properties and multiplication and division formula for the Multiplication And Division

Theoretical description

It is a known fact that multiplication and division give a result that contains as many decimal places as the sum of decimal places in each input number. However, in practice it is meaningless to write a result in so many decimal places because the result must not contain more decimal places than the least accurate measurement, that it the number with the least decimal places.

For example, if we have 18.6 × 5.423, the result normally is 100.8678. However, the result must be written at 1 decimal place, as the first number has only one decimal place. Hence, the calculator must round the result to give 100.9, as the value of the second decimal place of the original product is 6 (6 > 4), so the first after the decimal point will become 9 instead of 8 it originally was.

Likewise, the division 27.653 ÷ 16.3 normally gives 1.696503067 However, the result must be rounded to 1 decimal place to fit the number with less decimal places (here 16.3). Hence, the calculator must show 1.7 (6 becomes 7 because the digit that comes after it in the original result is 9).

In other cases, we prefer to write the result not in the least number of decimal places but in the least number of significant figures of inputs instead. This is applied especially during measurements in Physics.

The multiplication 18.6 × 5.423 normally gives 100.8678. However, since 18.6 has 3 s.f. and 5.423 has 4 s.f., the result must show 3 s.f. Therefore, the calculator must give 101.

Likewise, the division 27.653 ÷ 16.3 normally gives 1.696503067 However, the result must be rounded to 3 s.f., as the number with less significant figures here is 16.3 (3 s.f.). Hence, the calculator must show 1.70 (9 becomes 0 because the digit that comes after it in the original result is 6).

Approximations Math Tutorials associated with the Multiplication And Division Calculator

The following Math tutorials are provided within the Approximations section of our Free Math Tutorials. Each Approximations tutorial includes detailed Approximations formula and example of how to calculate and resolve specific Approximations questions and problems. At the end of each Approximations tutorial you will find Approximations revision questions with a hidden answer that reveal when clicked. This allows you to learn about Approximations and test your knowledge of Math by answering the revision questions on Approximations.