Conversion between place values

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Equation / Last modified by KurtHeckman on 2016/09/12 14:50
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MichaelBartmess.Conversion between place values

The Conversion Between Number Place Values calculator converts place values (units, tens, hundreds, thousands, ten thousands, hundred thousands, and millions) into other place values.

EXAMPLE 1000 is how man tens? Make an educated guess about the answer before you enter the values into vCalc because vCalc is very fast.

Take advantage of the head start and know the answer before vCalc gives it.

For more ideas see the Notes tab of the Details page


To answer the question how many tens are equal to 1000, we have to convert from the thousands place to the tens place. So, select the "thousands" place from the pull-down list labeled "From place". In this example we are converting thousands into units of tens. You can leave the field labeled "real number multiple" as its default value of 1. Then select the "tens" place from the pull-down list labeled "To place".

The answer is immediately presented to you by vCalc. vCalc shows that thousands convert to tens by a factor of 100.0. This means the same as 1000 equals 100 tens. If you enter a value in the field labeled "real number multiple" you are multiplying thousands by that number in this example.

Enter 5 as the real number multiple. Now we are asking how many tens are there in 5 X 1000 (or 5000). The answer is 500. The answer tells us that 5 X thousands = 5 X 100 tens. (note: This means the same as thousands equaling 100 tens.)

Our example converted a larger place value (thousands) into a smaller place value (tens). If you convert place values from smaller to larger instead, the multiple will be a decimal value. For example when converting hundreds to thousands, we are asking the question, "How many thousands are there in a hundred?" At first this seems like a trick question. Thousands are larger than hundreds so there is less than one thousand in a hundred. And that is correct. In fact there is only a tenth (0.1) of a thousand in a hundred. So, in hundreds convert to tens by a factor of 0.1 or 1/10th.

Try this in vCalc. Select "hundredsin the list of the "From place" field. In the "To place" field select "thousands". If you leave the "real number multiple" as 1, vCalc will show you that the conversion factor is 0.1.