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Q: Why do whole numbers raised to an exponent get greaterwhile fractions raised to an exponent get smaller?
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Why do numbers get smaller when multiplied by a decimal?

It's because decimals are really fractions and all numbers get smaller when you multiply them by fractions.


How do you compare expressions in scientific notation?

A number with a small exponent is smaller than a number with a large exponent. If two numbers have the same exponent then compare the mantissae. The smaller mantissa represents the smaller number.


What is smaller than 6.5 x 10 exponent -5?

There are infinitely many smaller numbers. One such is -6*103


What are the parts of fractions?

There are 3 Parts of fractions: 1:Improper Fractions Improper fractions are those fractions which numerator is greater than the denominator. 2:Proper Fractions Proper Fractions are those fractions which numerator is smaller than the denominator. 3:Mixed Numbers Mixed Numbers are those numbers which have a whole number and a part of fraction.


Why do whole numbers raised to exponents get greater while fractions raised to exponent get smaller?

An exponent just tells how many times a number is multiplied by itself. With whole numbers, if you keep multiplying them, they have to increase. 3 x 3 is 9, 3 x 3 x 3 is 27 and so on. Taking a half of anything makes it smaller. 1/2 x 1/2 is 1/4, 1/2 x 1/2 x 1/2 is 1/8 and so on.


Why you should reduce fractions to it's lowest term?

Doing that makes the numbers smaller, so it is easier.


How do you order two numbers written in scientific notation?

If the signs at the front of the numbers are different then the one with the negative sign is smaller. So the question can be simplified to ordering two numbers that have the same sign. Suppose they are both positive numbers. If one of them has a smaller exponent (power of 10) than the other, then that number is smaller. That then leaves two positive numbers with the same exponent. So the only difference is in the mantissa (or the bit before the power of 10). Since the powers of 10 are the same in both cases, the smaller mantissa gives the smaller number. Going back to the case where both numbers are negative: their ordering is the same as for negative integers, for example. The bigger absolute value gives the smaller negative number.


Are fractions bigger than negative numbers?

You can have negative fractions so it depends. it depends if you have a negative fraction you could have -1/2 but 1/2 is bigger than -1/2. negative numbers will always be smaller than positive numbers.


How many fractions are there between any two numbers on a number line?

As the denominator increases the fraction will be smaller but there is no limit to how tiny that fraction can be. So between any two numbers on the number line, you can have an infinite number of fractions.


How many fractions are there between the number 7 and 8?

A lot too many to be listed cause one could be 7 and 1/billionth in fact that are an infinite number of fractions between 7 and 8, just like there are an infinite number of numbers, the fractions would just get smaller and smaller.


Why do you compare fractions?

To compare any two fractions they first need to be converted to numbers on a similar basis: Convert both to decimals: the smaller decimal is the smaller fraction. Find equivalent fractions with the same denominator: the fraction with the smaller numerator is the smaller number. Find equivalent fractions with the same numerator: the fraction with the larger denominator is the smaller number. I recommend that the last of these is used for integral reciprocals (comparing 1/2, 1/4, 1/7 etc) or by more proficient users.


How do you subtract bigger fractions from smaller fractions?

You don't