What Times What Is 63

Multiplication Estimator

Created by Maciej Kowalski , PhD candidate

Reviewed by

Steven Wooding

Last updated:

Sep 03, 2022

Table of contents:

How do I multiply numbers?
Multiplying decimals
Instance: using the multiplication estimator
FAQ

Welcome to Omni'south multiplication calculator, where nosotros'll study one of the iv bones arithmetic operations: multiplication. In brusque, we apply information technology whenever nosotros want to add together the same number several times. For case, 16 times seven (written 16 * 7) is the same as calculation 16 seven times, or, equivalently, calculation 7 sixteen times. Conveniently, our tool works also equally a multiplying decimals calculator. What is more, even if you accept more than than ii numbers to multiply, you tin withal find their product with this calculator.

Annotation: If you'd similar to encounter stride-by-step solutions to multiplying large numbers, check out Omni'south long multiplication calculator or partial products calculator.

Let's waste non a second more than and see how to multiply numbers!

How exercise I multiply numbers?

Product and multiplication are the same things: they issue from multiplying numbers (or other objects, for that matter). Fortunately, the procedure is very elementary: it boils downwards to adding the value a suitable number of times. For instance, 24 times 5 ways that nosotros add 24 v times, i.e.,

24 * 5 = 24 + 24 + 24 + 24 + 24 = 120.

Similarly, 12 times xx translates to adding 12 20 times:

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 240.

All the same, note that we tin always capsize the process of finding the production with multiplication. In other words, the 24 times 5 tin also mean calculation five 20-4 times:

5 + 5 + 5 + five + v + v + 5 + 5 + 5 + five + 5 + five + 5 + five + 5 + 5 + 5 + 5 + five + 5 + five + 5 + five + 5 = 120,

and we tin get 12 times 20 by calculation 20 twelve times:

xx + twenty + 20 + 20 + 20 + 20 + xx + 20 + twenty + 20 + 20 + twenty = 240.

It'south always our selection how to multiply the numbers since the result is the same either way. In mathematical terms, this means that the production or multiplication is a commutative functioning. Notation that the same is true for improver. On the other manus, it does non hold for, say, subtraction.

🔎 Do you know that at that place are more than ways to write arithmetics operations than the "classic" operator in the center one? Attempt them out with our Smoothen notation converter!

As well, our multiply reckoner only deals with numbers, just mathematicians figured out how to multiply other objects. Beneath we list a few other multiplication calculators from Omni.

Matrix multiplication figurer;
Multiplying fractions estimator; and
Multiplying radicals calculator.

However, it's not ever that we deal with integers similar ii, 18, or 2020. We've learned how to multiply those and what, say, 16 times 7 is, but how do we find the production of decimals? For example, what is 0.2 times 1.25? Is our multiplication reckoner also a multiplying decimals reckoner?

Oh, you bet!

🙋 Want to learn how to handle circuitous mathematical expressions that involve more ane arithmetic functioning? Check our distributive holding computer.

Multiplying decimals

In essence, decimals are fractions. Therefore, ane style of multiplying decimals is to convert them to regular fractions, and and then use the basic dominion of numerator times numerator over denominator times denominator. For example,

0.2 * one.25 = (two/ten) * (125/100) = (ii * 125) / (10 * 100) = 250/1000 = 0.25.

Of course, we could have as well found easier equivalent fractions to the two given earlier multiplying. In this case, we could have said that 0.two = 1/5 and i.25 = 5/4, then

0.2 * ane.25 = (i/five) * (5/4) = (ane * five) / (5 * 4) = 5/20 = 1/4.

Both answers are correct; it'southward ever your selection how to multiply decimals. Yet, besides the two mentioned, there is another.

There is another way of multiplying decimals.

When multiplying decimals, say, 0.2 and 1.25, we can begin by forgetting the dots. That means that to notice 0.ii * 1.25, we start by finding 2 * 125, which is 250. Then we count how many digits to the right of the dots we had in total in the numbers we started with (in this example, it'south three: 1 in 0.two and ii in 1.25). We and so write the dot that many digits from the right in what we obtained. For us, this translates to putting the dot to the left of 2, which gives 0.250 = 0.25 (we write 0 if we have no number in front of the dot).

All in all, we've seen how to multiply decimals in three ways. To exist perfectly honest, the first 2 were pretty much the same thing; it's just that the intermediate steps were in a different lodge. Nevertheless, this concludes the part about how to multiply without a estimator. Now let'southward describe in detail how to do it with one, and to be precise, with Omni's multiplication estimator.

Example: using the multiplication calculator

Let's find 2020 times 12 with the multiply calculator. At the meridian of our tool, nosotros see the formula:

result = a₁ * a₂.

This means that to calculate 2020 * 12, we demand to input:

a₁ = 2020 and a₂ = 12.

The moment we give the 2d number, the multiplication estimator spits out the respond in the Result field.

outcome = 2020 * 12 = 24240

Withal, say that you'd like to multiply the issue farther by 1.3 (remember that our tool also works every bit a multiplying decimals calculator).

Nosotros could but clear out the fields and write the answer from above into ane of the factors, i.e., input a₁ = 24240 and a₂ = 1.3. Alternatively, nosotros tin simply select many numbers under Multiply..., which lets united states of america find the product of multiplication for more numbers. If we do so, we'll get the selection to input a₁, a₂, a₃, and so on upwards to a₁₀ (note how initially simply a₁ and a₂ are there, just more variables announced once you start filling the fields). Information technology's then enough to input:

a₁ = 2020, a₂ = 12, a₃ = ane.3,

and read off the answer from underneath:

result = 2020 * 12 * 1.3 = 31512.

Well, this multiply reckoner sure saves a lot of time. Can you imagine writing two g twenty times the number 12 similar we did in the beginning section? We, for ane, don't.

FAQ

Is product same as multiplication?

Multiplication is one of four basic arithmetic operations (the three others are addition, subtraction, and division).

Product is the result of carrying out multiplication: when we multiply ii numbers (multiplicand and multiplier), nosotros obtain their product.

What are the parts of multiplication?

The two numbers we multiply together are chosen multiplicand and multiplier or just factors. The result of the multiplication is called the product. For instance, in the multiplication problem iii × v = 15, the number 3 is the multiplicand, 5 is the multiplier, both three and v are the factors, and xv is the product.

What are the properties of multiplication?

The arithmetic operation of multiplication of two numbers is:

Associative;
Distributive; and
Commutative.

What is the neutral element of multiplication?

The neutral element (a.yard.a. identity element) of multiplication is the number ane. This ways that ane is the (unique) number such that when we multiply any number by 1 so we obtain the same number nosotros started with.

How do I multiply by 100?

To multiply any number past 100, follow these steps:

If your number is an integer, write two additional zeros at the right end of your number.
If your number has a decimal bespeak, y'all'll need to move the decimal point two places to the right. Add together one or two trailing zeros if there are less than two decimal digits.

Maciej Kowalski , PhD candidate

Absolute value Addition Associative property … 57 more