Place value & numbers to 10 million - Ganily

In a whole number every digit is worth something different depending on where it sits. Reading from the right the places go ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions — so in 4 386 215 the 8 is not worth 8, it is worth 80 000. Keep three ideas apart: the FACE value is the digit itself, the PLACE value is what one of that place is worth, and the VALUE is the two multiplied together. Big numbers are written with a space every three digits, which is also what makes them readable — and an empty place still needs a 0 to hold it, or every digit above it slides down. Rounding uses one digit only: look at the digit immediately to the right of the place you are rounding to, and round up if it is 5 or more.

Worked example

Problem In the number 4 386 215, what is the value of the digit 8?

Read the places from the right: 5 ones, 1 ten, 2 hundreds, 6 thousands, 8 ten thousands, 3 hundred thousands, 4 millions. The 8 is in the ten thousands place.

One ten thousand is worth 10 000, and there are 8 of them: 8 × 10 000 = 80 000.

So the value of the digit 8 is 80 000.

Watch out Answering 8 gives the face value, and answering 10 000 gives the place value of one. The question asks for the value, which is the two multiplied together.

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