explain the place value relationship when the same two digits are next to each other in a multidigit number

1 answer:

3 0

For example, the value of digit 3 in 5833

5833 = 5000 + 800 + 30 + 3

The digits 3 in 5833 has value of 30 and 3
One value is ten times the other

Another example, the value of digit 6 in 586645

586645 = 500000 + 80000 + 6000 + 600 + 40 + 5

The digits 6 in 586645 is 6000 and 600
One digit is 10 times the other

We can make a conclusion that the place value relationship when the same two digits are next to each other is one digit will always be 10 times the other digit.

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Elenna [48]

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Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ

QveST [7]

Answer:

Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

<u>180 = 4x + b</u> Subtract

145 = 5x Divide by 5

145/5 = 5x/5 Do the division

29 = x This represents the cost / day

180 = 4x + b Substitute x = 29 to find b

180 = 4*29 + b Combine

180 = 116 + b Subtract 116 from both sides.

180 - 116 = b

64 = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.