L1 · Place value: whole numbers to 1 000 000, tenths and hundredths

Learning goal

“I can read a place-value chart, name the place of any digit in a number up to 1 000 000, including tenths and hundredths, and say what each place is worth.”

Digit — one of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 used to write numbers.

Place value — the value of the place a digit sits in. The same digit is worth different amounts in different places.

Tenth — one of 10 equal parts of one whole. Written 0.1.

Hundredth — one of 100 equal parts of one whole. Written 0.01.

Worked example

Put 46,275.38 on the chart. Chart places, left to right: ten thousands | thousands | hundreds | tens | ones . tenths | hundredths. 46,275.38 -> 4 in ten thousands, 6 in thousands, 2 in hundreds, 7 in tens, 5 in ones, then the decimal point, 3 in tenths, 8 in hundredths. Say it plainly: the decimal point is a fence post. Whole numbers live on the left of it. Tenths and hundredths live on the right of it. Reading the number aloud: "forty-six thousand, two hundred seventy-five and thirty-eight hundredths." The word and tells your ear where the decimal point is. (In French books the same number is written 46 275,38 - a comma does the job of the point. Same number, same value.)

Check yourself — explain it

The first place to the right of the decimal point is...

Paired problem — example still visible

In 8,506.29, name the place of the digit 2 and the digit 9. -> 2 is in the tenths place; 9 is in the hundredths place.

Faded completion — last step is yours

"In 730,915.62: the digit in the hundred thousands place is 7. The digit in the hundredths place is ___" -> 2

Ready to practise?

10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.

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