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Why do numbers get smaller when multiplied by fractions less than 1?
Wiki User
∙ 11y ago
If you multiply by 1 they stay the same. If you multiply by more than 1 they increase. Fractions less than 1 are less than unity so the products decrease because you are only taking a fraction of the number.
Wiki User
∙ 11y ago
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Why is the product of two fractions smaller than two fractions thet were multiplied?
That's only true if the fractions are "proper" fractions ... with numerator smaller than denominator. The reason is: If you take (a piece less than the whole thing) out of (a piece less than the whole thing), you wind up with a piece smaller than either of the original pieces.
When you multiply two fractions does the number get greater or less than the two fractions multiplied?
if you mean multiplying something by a fraction where the numerator is smaller than the denominator then yes.
When multiplying proper fractions why is the product less than the both factors?
A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.
What fractions are smaller than 1?
A fraction is smaller than one if the number on the top is less than the number on the bottom.
Who do fractions get smaller when you multiply them by another fraction?
It depends on what type of fraction it is. If the fractions are improper fractions, the product will be greater than the two fractions multiplied together. (Ex: 3/2 x 5/4 = 15/6 or 5/2. 5/2 is greater than 3/2.) If the fractions both have 1 as a numerator, the product is smaller. (Ex: 1/3 x 1/6 = 1/18. 1/18 is less than 1/3.) Any other fractions, it would depend on what fractions you're multiplying. Remember, you are multiplying the numerator by the other numerator and the denominator by the other denominator. (Answer Product of numerators/Product of denominators)
Why is the product of two fractions smaller than two fractions thet were multiplied?
That's only true if the fractions are "proper" fractions ... with numerator smaller than denominator. The reason is: If you take (a piece less than the whole thing) out of (a piece less than the whole thing), you wind up with a piece smaller than either of the original pieces.
When you multiply two fractions does the number get greater or less than the two fractions multiplied?
if you mean multiplying something by a fraction where the numerator is smaller than the denominator then yes.
Why can you multiply two decimal numbers together and get an answer less than either one of the numbers you multiplied?
For the same reason that you can multiply two proper fractions and get a smaller number than either of them. You are multiplying either decimal by a number that is smaller than 1. As a result you get an answer that is smaller than 1 times the first number.
Is it possible for the final product of two numbers to contain fewer decimal places than either of the numbers being multiplied Why or why not?
huh. not a formal proof, but intuition says no, since decimal places represent fractions, and multiplication of fractions leads to smaller numbers (or more less than one), leading to more decimal places.
What two numbers can be multiplied so the product is smaller then one of the factors?
One of the numbers must be less that 1
Are smaller fractions larger?
the numbers are larger, but could mean less or more: 1/20000000 is small and 20000000/1 is large
When multiplying proper fractions why is the product less than the both factors?
A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.
Are mixed numbers less than proper fractions?
No.
What are fifteen facts or more about fractions?
You're only supposed to ask one question at at time but here we go:- 1 Fractions are parts of whole numbers or integers 2 Fractions less than 1 are common fractions 3 Fractions greater than 1 are improper fractions 4 Fractions have denominators which are underneath their numerators 5 Fractions are separated by a solidus line such as n/d 6 Fractions that are improper can be changed into mixed numbers 7 Fractions can be changed into decimals 8 Fractions can be converted into percentages 9 Fractions are rational numbers 10 Fractions can not be derived from irrational numbers 11 Fractions need a LCD when adding or subtracting them 12 Fractions can be easily multiplied and divided 13 Fractions can be equivalent such as 2/3 = 4/6 14 Fractions can be simplified by finding their HCF 15 Fractions use prime numbers to find the LCM of different denominators 16 Fractions were once used by the ancient Romans to a limited extent
What is 2 over 3 greater than 1 over2 or less than?
Convert to equivalent fractions with the same denominator (bottom number) and then compare the numerators (top numbers): 2/3 = 4/6 1/2 = 3/6 4 > 3 ⇒ 2/3 is greater than 1/2. When converting to equivalent fractions, it is best to use the lowest common multiple (lcm) of the denominators as it leads to smaller fractions, but just multiplying the denominators together will always work. In this case, the lcm is also the two numbers multiplied together.
What are proper fractions?
Proper fractions are fractions having a numerator that is smaller than the denominator.A proper fraction is when its numerator is less than its denominator as for example 3/4
Why is the quotient of two fractions less than 1 greater than both?
It need not be. The numbers 1/2 and (-1/2) are both fractions less than 1 but their quotient is -1, which is less than both the fractions.
