simifly. Use the commutative associative and distributive properties.
1. 175 + 37 + 25
2. 50(11 x 2)
3. 12/(99
can someone explain to me how to do these please?
200+37 = 237
50*2 = 100
100*11 = 1100
[12/(100-1)] [(100+1)/(100+1))]
[1200 +12]/(10,000-1)
1212/9,999 etc
.1212121212........
proof
.12 + .12/100 + .12/10^4 + .12/10^6 ....
geometric series, g = .12
term 1 = .12/100
term n = term(n-1)*1/100
so r = 1/100
so 1 - r = 100/100 - 1/100 = 99/100
sum = g/(1-r) = 12/100 /(99/100) = 12/99
Sure! I can help you with that.
To solve the given expressions using the commutative, associative, and distributive properties, let's break it down step by step:
1. 175 + 37 + 25
Commutative Property: This property states that the order of the numbers being added does not change the result. Since addition is commutative, we can rearrange the numbers in any order.
175 + 37 + 25 can be rearranged as 25 + 37 + 175.
Associative Property: This property states that the grouping of numbers being added does not change the result. Since addition is associative, we can group the numbers differently.
(25 + 37) + 175 or 25 + (37 + 175) will give you the same result.
Distributive Property: This property states that multiplying a number by a sum is the same as multiplying the number separately by each term in the sum. Since there is no multiplication involved in this expression, the distributive property is not applicable.
Therefore, to calculate 175 + 37 + 25, you can add the numbers in any order, as well as group them differently, and you will get the same result: 237.
2. 50(11 x 2)
Commutative Property: This property is not applicable here since there is no addition involved.
Associative Property: This property is not applicable here since there is no addition involved.
Distributive Property: This property states that multiplication can be distributed over addition or subtraction. In this case, we have multiplication, but there is no addition or subtraction to distribute over.
To solve 50(11 x 2), we first calculate the expression inside the brackets, which is 11 x 2 equals 22. Then, we multiply 22 by 50.
50(11 x 2) = 50(22) = 1100.
So, 50(11 x 2) equals 1100.
3. 12/(99)
Commutative Property: This property is not applicable here since there is no addition involved.
Associative Property: This property is not applicable here since there is no addition involved.
Distributive Property: This property is not applicable here since there is no multiplication involved.
To solve 12/(99), you need to divide 12 by 99.
12 divided by 99 in decimal form is 0.121212... and so on, which is a repeating decimal. If you want an exact fraction, you can leave it as 12/99.
So, 12/(99) can be simplified to 12/99 or 0.121212... in decimal form.
I hope that helps! Let me know if you have any further questions.