Question

James used the numbers shown to read a five digit number on the board where the value of the digit three is 1/10 the value of the digit three in the number 234.89

Answer 1

Answer:

In a number in standard notation, every single digit at the left of the decimal point represents a different order of magnitude (and the same happens for the ones at the right)

Such that the first digit is the units digit, for example the number 8, has 8 as the units digit.

The second digit to the left is the tens digit, for example, the number 18 has 1 as the tens digit. And the number 18 can be written as:

1*10^1 + 8*10^0 = 1*10 + 8*1

where:

10^1 = 10

10^0 = 1

The third digit after the decimal point is called the hundreds digit.

For example in the number 645, the hundreds digit is 6.

And this number can be written as:

6*10^2 + 4*10^1 + 5*10^0 = 6*100 + 4*10 + 5*1

And so on, with this, you can get a rough idea of how this works.

So here we have the number 234.89

If we want to craft another number such that the digit 3 is 1/10 of the value in the above number, we just need to move the digit 3 to the units place.

(in 234.89 the number 3 is on the tens place)

So using these 5 numbers, any number where the 3 is on the first place at the left of the decimal point is a correct answer, for example:

243.89

423.89

943.28

etc.