Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation:
We're asked to multiply 32.12, or 32 and 12 hundredths, times 0.5, or just 5 tenths. Now when you multiply decimals, you multiply them the exact same way you would multiply whole numbers, and then you count the number of spaces behind the decimal you have in your two numbers you're multiplying, and you're going to have that many spaces in your product. Let me show you what I'm talking about. So let's just multiply these two characters. So we have 32.12 times 0.5. And when you write them out, you can just push both of them all the way to the right. You could almost ignore the decimal. Right now, you should write the decimal where they belong, but you can almost pretend that this is 3,212 times 5, and then we'll worry about the decimals in a second. So let's get started. So if we were just multiplying 5 times 3,212, we would say, well, 5 times 2 is 10. Regroup the 1. 5 times 1 is 5, plus 1 is 6. 5 times 2 is 10. Regroup the 1. And then finally, you have 5 times 3 is 15, plus 1 is 16. And then we don't have any other places. If we were just doing this as 05, we wouldn't multiply 0 times this whole thing. We would just get 0 anyway. So just 5 times 3,212 gives us this number. But now we want to care about the decimals. We just have to count the total number of spaces or places we have behind the decimal point in the two numbers we're multiplying. So we have one, two, three spaces, or three numbers, to the right of the decimals in the two numbers that we're multiplying. So we need that many numbers to the right of the decimal in our answer. So we go one, two, three, put the decimal right over there. So 32.12 times 0.5 is 16.060. And this trailing zero right here we can ignore, because it's really not adding any information there. So we could just write this as 16.06. The last thing you want to do is just make sure that this makes sense. You have a number that's almost 32, and we're multiplying it by 0.5. Remember, 0.5 is the same thing as 5 over 10, which is the same thing as 1/2. So we're really multiplying 32.12 times 1/2. We're trying to figure out what one half of 32.12 is. And half of 32 is 16, and half of 0.12 0.06, so this makes complete sense.
The rational numbers would be 3.99 and 4 while there are no irrational number. A rational number is a number that can be written as a fraction for 3.99 it can be written as 399/100 and its the simplest form of the fraction. Also, 4 is a rational number since it can be written as 4/1 which is a fraction.
Answer:
advance tickets $30.00
same day tickets $35.00
Step-by-step explanation:
1. In this equation, you are trying to find two values so you must use system of equations. Your two equations would be:
40x +20y = 1900
x + y = 65
x represents the price of advance tickets and y represents the price of same day tickets.
2. Solve the equation by performing elimination using multiplication. Multiple one equation by a constant to get two equations that contain opposite terms.
40x + 20y = 1900
-40(x + y = 65) → -40x + -40y = -2600
3. Add the equations, eliminating one variable. (add -40x + -40y = -2600 to 40x + 20y = 1900)
40x + 20y = 1900
+ -40x + -40y = -2600
Results in: -20y = -700
Solve for y by dviding both sides by -20.
y = 35
4. Substitute the solved value into one of the equations and solve for the remaining variable.
x + 35 = 65
Subtract 35 from both sides to solve for x.
x = 30
The advance tickets were $30.00 and the same day tickets were $35.00.
Answer:
They are similar because 9/11 = 27/33.
Step-by-step explanation:
The width:length ratio is the same for each rectangle, so they are similar.
_____
Please note that it is actually possible to write these fractions using numbers and symbols only. (And, they're much easier to read this way.)
