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natka813 [3]
3 years ago
5

How to do 103,727,495 in expanded form

Mathematics
1 answer:
elixir [45]3 years ago
5 0
<span>Answer: 100,000,000 + 3,000,000 + 700,000 + 20,0000 + 7,0000 + 400 + 90 + 5 = 103,727,495
</span><span />

<span>Explanation:
</span><span />

<span>1) The expanded form of a number is the split of the number using every digit muliplied by its place value.
</span><span />

<span>2) The first (left most) digit of the given number is 1. It is in the hundred millions place. So, it represents 100,000,000 which is the first number in the expanded form.
</span><span />

<span>3) The second digit (from lef to right) is 0, so its value is 0, and you do not include it in the expanded form.
</span><span />

<span>4) The third digit (from the left to the right) is 3. It is in the place of the millions, so its value is 3,000,000.
</span><span />

<span>5) Next number from the left is 7 and it is in the hundred thousands place, so its value is 700,000.
</span><span />

<span>6) Next is 2, in the ten thounsands place => 20,000
</span><span />

<span>7) Next is 7 in the thousands => 7,000
</span><span />

<span>8) 4 in the hundreds => 400
</span><span />

<span>9) 9 in the tens => 90


</span><span>10) Finally 5 in the ones => 5.</span>
<span /><span>
</span><span>Then number the number is: 100,000,000 + 3,000,000 + 700,000 + 20,000 + 7,000 + 400 + 90 + 5</span>

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Answer:

Part a) a=4g+10 (see the explanation)

Part b) see the explanation

Part c) The graph in the attached figure

Step-by-step explanation:

<u><em>The complete question is</em></u>

With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.

Part A) Use words and an equation to represent this problem

Let

a ----> the total amount of money spent on bowling in a year

g ---> the number of games a family plays in a year

we know that

The linear equation in slope intercept form is equal to

a=mg+b

where

m is the slope or unit rate

b is the a-intercept or initial value

In this problem we have

m=\$4\ per\ game

b=\$10

substitute

a=4g+10

Part b) Create a table to show values for g and a

Assume different values of g and calculate the corresponding values of a

For g=0 ----> a=4(0)+10=\$10

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For g=2 ----> a=4(2)+10=\$18

For g=3 ----> a=4(3)+10=\$22

For g=4 ----> a=4(4)+10=\$26

The table is

\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]

Part c) Use the values from your table to draw a graph

we have the ordered pairs

(0,10),(1,14),(2,18),(3,22),(4,26)

Plot the ordered pairs and join them to graph the line

The graph in the attached figure

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