What is 250 Divided by 100?

What is 250 Divided by 100?

250 divided by 100 is equal to 2.5.

Dividing by Powers of Ten

Dividing by numbers that are powers of ten like 100 or 1000 is an important math skill. These divisions come up regularly when working with decimals and normalized scientific units. Dividing by a power of ten can be done mentally by simply looking at the exponent and moving the decimal point. Let’s walk through dividing 250 by 100 step-by-step.

State the Problem

First, we write out the division:

250 / 100

Recognize the Divisor Is 102

The divisor 100 can be written as 102, since 100 is 10 to the power of 2. This exponent clue is key.

Move the Decimal

When dividing by a power of 10, we can move the decimal point left a number of places equal to the exponent.

Since we are dividing by 102, we move the decimal point in 250 two places to the left.

250 becomes 2.5

So 250 / 102 = 2.5

Check the Answer

Let’s verify this using long division:

250 / 100 = 2 Remainder 50 = 2.5

The long division confirmation checks out. Dividing 250 by 100 does indeed equal 2.5.

Dividing by powers of ten is straightforward once you realize the relationship with the exponent and decimal moving. This mental math trick saves time and makes these divisions quick and easy. Whether converting between scientific units or working with decimals, dividing by powers of ten is an important tool to have in your mathematical toolbox.