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Q: Why do numbers get smaller when multiplied by a decimal?

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Numbers that cannot be broken down any smaller. 2 is made of 1 and 1, but 5 is prime because there are no real (or whole) numbers multiplied together that equal five.

There are infinitely many decimal numbers which are less than 1.4.For a start, 1, 0, -1, -2 ... are all decimal numbers which are less than 1.4 1.39, 1.399, 1.3999, 1.39999. ... are all smaller and you can have infinitely many 9s in that sequence of numbers.

No. A decimal is a representation of a number such that the place value of any digit is ten times the place value of the digit to its right. It does not require a decimal point. So the decimal numbers, 3 and 4, can be multiplied together to give 1100 in binary.

39 is the product when the two prime numbers 3 and 13 are multiplied.

true

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That is not necessarily the case.2.5*4.3 = 10.75 which is larger than either of the numbers being 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.

You only get a smaller decimal if you do 0. something because your multiplying it by 0! oust like with the whole numbers, if you times something by 0 it gets smaller. only with a decimal, there's are still numbers less than the 0 so it gets smaller and smaller until you have a total of 0!

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.

A decimal number is multiplied by a non-decimal number the same way any two numbers are multiplied together. The place value of the numbers being multiplied must be kept in mind though. So if 2x3=6, just as 2x30=60, 2x0.3 would be 0.6. For numbers with more than one digit, you would treat the multiplication the same way as for non decimal numbers.

No, it is not true.

when multiplying the numbers increase unless it is multiplied by a decimal, it will then decrease. when dividing the numbers are divided (splitted) therefor it decreases unless it is divided by a decimal, it will then increase. Decrease means 'gets smaller or less' Increase means 'getting bigger or more'

You record the temperatures as decimal numbers and subtract the smaller from the larger.

multiply the decimal numerals by the amounts of digit numbers to the right, multiplied by 100 to change the decimal numbers to natural numbers. ie 1.232/1.232=1.232*1000/1.2328*1000=1232/1232=1

One of the numbers must be less that 1

To multiply decimal numbers, the decimal point is ignored and the multiplication is done as though they were (large) integers. The last step is to put the decimal point into the answer by ensuring the same number of digits follow it as were following the decimal points in the numbers multiplied together; trailing zeros can be removed at this point.

yes.

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