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Why is multiplying a number by 200 the same as multiplying it by 100 and then by 2?
When you multiply three numbers together you can either multiply the first two together and multiply the result of that by the third, or multiply the last two together and multiply the result of that by the first.1
200 = 100 x 2
So, for example:
5 x 200 = 5 x (100 x 2)
= 5 x 100 x 2
= (5 x 100) x 2
Meaning that multiplying by 200 is the same as multiplying by 100 and then by 2.
1This is the "Associative Law". Using smaller numbers as an example:
Suppose you have 2 x 3 x 4.
It says:
2 x 3 x 4 = (2 x 3) x 4
= 6 x 4
= 24
or:
2 x 3 x 4 = 2 x (3 x 4)
= 2 x 12
= 24
As multiplication is short hand for repeated addition, this can be seen by using only additions:
2 x 3 is the same a 3 + 3 (adding 3 to itself two times, that is twice 3) or 2 + 2 + 2 (adding 2 to itself three times, that is 2 thrice), the result of all three being 6:
2 x 3 = 6
3 + 3 = 6
2 + 2 + 2 = 6
Now, 2 x 3 x 4 can be calculated as (2 x 3) x 4, that is do 2 x 3 first and then multiply the result of that by 4. In terms of addition, this becomes:
(2 x 3) x 4 = (3 + 3) x 4
= (3 + 3) + (3 + 3) + (3 + 3) + (3 + 3)
= 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3
= 24
Or, it can be calculated as 2 x (3 x 4), that is do 3 x 4 first and then multiply the result of that by 2. In terms of addition, this becomes:
2 x (3 x 4) = 2 x (3 + 3 + 3 + 3)
= (3 + 3 + 3 + 3) + (3 + 3 + 3 + 3)
= 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3
= 24
In both cases the result is the same - adding 3 to itself eight times to get 24.
What else can I help you with?
What is 100x 2?
100 multiplied by 2 is equal to 200. Multiplication is a basic arithmetic operation that involves repeated addition. In this case, you are multiplying the number 100 by 2, resulting in a product of 200.
Is 100 fold the same as to the power of 100?
Well, honey, technically speaking, no, they're not the same. "100 fold" means something is multiplied by 100, while "to the power of 100" means something is raised to the 100th power. So, in math land, those are two different beasts. Hope that clears things up for ya, sugar.
How many digits are there from 100-200?
300
Greg has the same number of 1-block 10-blocks and 100-blocks He models an even number that is less than 400 What is the number?
200
200 percent into a fraction is?
2/1, or just the whole number 2. 200% of something means to double the amount by multiplying it by 2.
Does 200 square root ever end?
The root of ab is the same as the root of a multiplied by the root of b. So root 200 = root 100 x root 2 root 100 is 10, root 2 is an irrational number. Multiplying 10 by an irrational number gives an irrational number. Therefore, root 200 never ends.
What is 100x 2?
100 multiplied by 2 is equal to 200. Multiplication is a basic arithmetic operation that involves repeated addition. In this case, you are multiplying the number 100 by 2, resulting in a product of 200.
How do you find 40 percent of 200?
Find 1 % of 200 by dividing by 100 and then multiplying this by 40.
What percentage of 200 is 25?
To find the percentage of one number compared to another, you divide the second number by the first and then multiply by 100. In this case, 25 divided by 200 equals 0.125. Multiplying 0.125 by 100 gives you 12.5%. Therefore, 25 is 12.5% of 200.
What percentage of 200 is 290?
To find the percentage of one number in relation to another, you divide the first number by the second number and then multiply by 100. In this case, 290 divided by 200 equals 1.45. Multiplying 1.45 by 100 gives you 145%. Therefore, 290 is 145% of 200.
What 2 numbers can be rounded to the nearest 10th and 100th and be the same number?
100 + 200
What is 200 percent of 17?
The answer is 34! U do it by cross multiplying her is the work! _17___ = ___X___ 100 200
What number is 200 17 percent of?
The answer is 34! U do it by cross multiplying her is the work! _17___ = ___X___ 100 200
How do you find 80 percent of 200 how do you do the working out?
You need to divide your number with 100 and multiply it with how many percent you want. 200 * 80 / 100 = 160 A shorter way is to multiply your number with 0.8. You'll get the same answer.
What is a number that is 14 of 12 of 15 of 200?
The number that is 14% of 12% of 15% of 200 is 0.504. This can be calculated by multiplying 200 by 0.15, then multiplying the result by 0.12, and finally multiplying the new result by 0.14.
What is the result of multiplying 700 by 200?
The result of multiplying 700 by 200 is 140,000.
How do you find the percent of increase?
Here is an example. You increase something from 200 to 250. First, subtract to get the difference (50). The, divide this difference by the initial number (50 / 200 = 0.25). Finally, convert that into a percentage, by multiplying by 100 (25%).
