Fill in the blanks to write the number 413.195 in expanded form: 413.195 = 400 + + 3 + 0.1 + + 0.005​

400+10+3+0.1+0.09+0.005 hope this helps! mark me brainliest!

Step-by-step explanation:

400 + 10 + 3 + 0.1 + 0.09 + 0.005

Step-by-step explanation:

Writing in expanded form means to show the value of each digit in the number.

For example 124:

Value in the hundreds column: 100

Value in the tens column: 20

Value in the ones column: 4

So the answer (to the example) is:

100 + 20 + 4 (we can check if this is true by adding it together)

100 + 20 + 4 = 124 (The answer is 124, so it's true!)

It's the same with decimals:

13.451 in expanded form is:

10 + 3 + 0.4 + 0.05 + 0.001

Which is added up to 13.451!

If we take your question:

413.195 in expanded form is:

hundreds column: 400

tens column: 10

one's column: 3

tenths column: 0.1

hundredths column: 0.09

thousandths column: 0.005

400 + 10 + 3 + 0.1 + 0.09 + 0.005 = 413.195

Hope I could help you understand!

If you have any questions, ask them in the comments below!

Have a good day! (●'◡'●)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: