The amount that could be the price of the second van in the considered case is given by: Option A: $12,987
How to identify the place value of a digit in a number?
The place values on left of decimal point start as ones, tens, hundreds, and so on.
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on
The tens means multiply by 10
The tenth means tenth part of that digit which is that digit divided by 10
The xth position in left of decimal point in a number from decimal number system has value of [tex]10^{x-1}[/tex] per unit.
Thus, if the number is 73.46, then the value 7, which is on 2nd position have [tex]10^{2-1} = 10[/tex] values per unit. Since it is 7, so 7 times 10 = 70 value.
We can write 73.46 = 70 + 3 + 0.4 + 0.06
Firstly, the question is missing options and some part of the orignal question.
The questions says that the price of the second van has a digit 2 which is 10 times the value of the digit 2 in the price of the first van.
The options for second van's price are:
- $12,987
- $15,927
- $17,257
- $21,579
The price of the first van is $16,257
We use the decimal number system, the place value of 2 is 100th (as there are two digits in the left of 2 (without decimal point) for each unit. 2 is 2 units, so value of 2 in the price of first van is [tex]2 \times 100 = 200[/tex]
The second van's price has value of 2 10 times more than value of 2 in price of first van.
That means its value is 200 times 10 = 2000
The xth position in left of decimal point in a number from decimal number system has value of [tex]10^{x-1}[/tex] per unit.
Here [tex]2000 = 2 \times 10^{4-1}[/tex]
That shows 2 should be on 4th place in the price of the second van.
From the options available, we see that the correct option is $12,987 as there is 2 on the fourth place.
Thus, the amount that could be the price of the second van in the considered case is given by: Option A: $12,987
Learn more about place value here:
https://brainly.com/question/17983725
