# Why do numbers get bigger when you multiply?

## Why do numbers get bigger when you multiply?

Whenever you multiply a positive number by a factor greater than 1, the product will be larger than the original number. Both factors are less than 1, and the product is less than both factors. Of course, whenever you multiply a number by 1, the product will be equal to the original number.

## What happens when you multiply a number by a fraction greater than 1?

When a number is multiplied by a fraction equivalent to 1, the product is equal to the number. When a positive whole number is multiplied by a fraction greater than 1, the product is greater than the whole number.

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Why does multiplying a whole number by a fraction make it smaller?

Multiplying by a “proper fraction” makes a number smaller because it is tantamount to division and division makes a larger number smaller. However, it makes a number smaller only if the numerator

### What happens when you multiply a fraction by its denominator?

Rule for Multiplication of Fractions When multiplying fractions, simply multiply the numerators together and then multiply the denominators together. Simplify the result. This works whether the denominators are the same or not. If you multiply the fractions 3/2 and 4/3 together, you get 12/6.

### Why does a number get smaller when you multiply by a decimal?

When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.

What misconceptions do students have about multiplication?

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4 Misconceptions Students Have About Multiplication

• Assuming multiplication always results in a larger value.
• Multiplying numbers in the order they are listed.
• Adding zeros when multiplying by a power of 10.
• Improperly applying order of operations.

#### Why when multiplying fractions and whole numbers if the fraction is larger than 1 The product is larger?

If the fraction is greater than 1, in other words the numerator is greater than the denominator, the product will be greater than the whole number.

#### When one factor in a multiplication problem is greater than 1 is the product greater or less than the other factor?

Multiplying a number times a number greater than 1, results in a product greater than the original number.

What happens when you multiply by a fraction less than 1?

The identity property of multiplication tells us that a number x 1 has a product equal to the number (itself). For example, 4 x 1 = 4. So when we multiply by a fraction that is less than 1, our product has to be less than the number we are multiplying the fraction by. For example, 4 x 1/3 = 1 1/3.

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## Why do you multiply denominator?

In a fraction, denominator represents the total number of parts a whole is made into and the numerator represents the number of parts chosen. A fraction is multiplied by another fraction means the first fraction is further divided into smaller parts and these smaller parts are chosen.

Why does multiplying the numerator and denominator?

Multiplying fractions is a lot simpler than adding or subtracting fractions because we don’t need to find a common denominator, instead we just multiply across numerators and denominators. Remember, any whole number can be represented as a fraction by putting it over 1. Example: Reduce when needed.