5 Times What Equals 12

Multiplication Computer

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 figurer
FAQ

Welcome to Omni'southward multiplication calculator, where nosotros'll report one of the four basic arithmetic operations: multiplication. In brusk, we use it whenever we desire to add the aforementioned number several times. For instance, sixteen times 7 (written xvi * 7) is the aforementioned as adding 16 vii times, or, equivalently, adding seven sixteen times. Conveniently, our tool works also as a multiplying decimals calculator. What is more, even if you have more two numbers to multiply, you can still notice their product with this calculator.

Annotation: If you lot'd similar to see footstep-past-step solutions to multiplying big numbers, check out Omni's long multiplication computer or partial products computer.

Let's waste product not a second more and see how to multiply numbers!

How do I multiply numbers?

Product and multiplication are the same things: they event from multiplying numbers (or other objects, for that matter). Fortunately, the process is very simple: it boils down to adding the value a suitable number of times. For example, 24 times 5 means that nosotros add 24 five times, i.eastward.,

24 * five = 24 + 24 + 24 + 24 + 24 = 120.

Similarly, 12 times xx translates to calculation 12 xx times:

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

Nevertheless, notation that we can e'er invert the procedure of finding the product with multiplication. In other words, the 24 times 5 can as well mean calculation 5 twenty-4 times:

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

and we can get 12 times 20 by adding xx twelve times:

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

It's always our selection how to multiply the numbers since the result is the same either way. In mathematical terms, this means that the product or multiplication is a commutative performance. Notation that the same is true for addition. On the other paw, information technology does non agree for, say, subtraction.

🔎 Practice y'all know that in that location are more ways to write arithmetic operations than the "classic" operator in the centre one? Endeavor them out with our Polish note converter!

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

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

However, it's non always that we deal with integers like 2, xviii, or 2020. Nosotros've learned how to multiply those and what, say, 16 times 7 is, but how do nosotros detect the product of decimals? For example, what is 0.2 times 1.25? Is our multiplication calculator besides a multiplying decimals calculator?

Oh, you bet!

🙋 Want to acquire how to handle complex mathematical expressions that involve more than one arithmetics operation? Check our distributive property calculator.

Multiplying decimals

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

0.ii * 1.25 = (2/10) * (125/100) = (ii * 125) / (10 * 100) = 250/m = 0.25.

Of class, we could have likewise found easier equivalent fractions to the two given before multiplying. In this example, we could take said that 0.2 = 1/5 and 1.25 = 5/iv, so

0.two * i.25 = (1/5) * (five/4) = (one * v) / (5 * 4) = 5/20 = 1/iv.

Both answers are right; it's always your choice how to multiply decimals. However, besides the two mentioned, there is some other.

There is another way of multiplying decimals.

When multiplying decimals, say, 0.2 and ane.25, nosotros can begin by forgetting the dots. That means that to find 0.2 * i.25, we start by finding two * 125, which is 250. So 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's three: ane in 0.2 and ii in ane.25). We then write the dot that many digits from the correct in what we obtained. For the states, 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 end of the dot).

All in all, we've seen how to multiply decimals in three ways. To exist perfectly honest, the first two were pretty much the aforementioned affair; it's merely that the intermediate steps were in a different order. Nevertheless, this concludes the part well-nigh how to multiply without a figurer. Now let'southward draw in particular how to practise it with i, and to be precise, with Omni'due south multiplication calculator.

Example: using the multiplication estimator

Permit'southward detect 2020 times 12 with the multiply calculator. At the top of our tool, nosotros run into the formula:

event = a₁ * a₂.

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

a₁ = 2020 and a₂ = 12.

The moment we requite the second number, the multiplication calculator spits out the answer in the Result field.

result = 2020 * 12 = 24240

However, say that you'd like to multiply the result further by 1.3 (remember that our tool too works as a multiplying decimals calculator).

We could merely clear out the fields and write the answer from above into ane of the factors, i.e., input a₁ = 24240 and a₂ = ane.iii. Alternatively, we can simply select many numbers nether Multiply..., which lets us find the product of multiplication for more than numbers. If we do so, we'll get the pick to input a₁, a₂, a₃, and and then on up to a₁₀ (note how initially only a₁ and a₂ are there, but more than variables appear once yous offset filling the fields). It'south then plenty to input:

a₁ = 2020, a₂ = 12, a₃ = i.3,

and read off the answer from underneath:

result = 2020 * 12 * 1.3 = 31512.

Well, this multiply calculator sure saves a lot of time. Can you imagine writing 2 thousand twenty times the number 12 like nosotros did in the kickoff section? Nosotros, for one, don't.

FAQ

Is product same as multiplication?

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

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

What are the parts of multiplication?

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

What are the properties of multiplication?

The arithmetics operation of multiplication of two numbers is:

Associative;
Distributive; and
Commutative.

What is the neutral element of multiplication?

The neutral element (a.chiliad.a. identity chemical element) of multiplication is the number one. This ways that ane is the (unique) number such that when we multiply whatsoever number by 1 so we obtain the aforementioned number we started with.

How do I multiply by 100?

To multiply whatsoever number by 100, follow these steps:

If your number is an integer, write ii additional zeros at the right end of your number.
If your number has a decimal point, you'll need to move the decimal point two places to the right. Add one or 2 trailing zeros if in that location are less than two decimal digits.

Maciej Kowalski , PhD candidate

Absolute value Addition Associative property … 58 more than