L1 · Place value: numbers to 100 000 — each place is 10 times the place to its right

Learning goal

“I can read numbers to 100,000, name each place up to hundred-thousands, and explain that each place is worth 10 times the place to its right.”

Digit — one of the symbols 0-9 used to write a number. A digit gets its value from where it sits.

Place value — the value a digit has because of its position: in 63,245 the 6 sits in the ten-thousands place, so it is worth 60,000.

Ten-thousands — the place worth 10,000. It sits one step left of the thousands place.

Hundred-thousands — the place worth 100,000. Only the number 100,000 itself reaches it in Grade 3.

Worked example

Read and take apart 63,245. Step 1 (read the parts): the comma splits the number into 63 thousand and 245. Say: "sixty-three thousand, two hundred forty-five." Step 2 (name each digit's value): 6 -> 60,000; 3 -> 3,000; 2 -> 200; 4 -> 40; 5 -> 5. Step 3 (the pattern): the ten-thousands place is worth 10 times the thousands place: 10 x 1,000 = 10,000. Every place is worth 10 times the place to its right. Say it plainly: a digit's value is the digit times the value of its place. Place first, digit second.

Check yourself — explain it

The ten-thousands place is worth 10,000 because...

Paired problem — example still visible

In 28,431, what is the value of the digit 2? -> 20,000 (ten-thousands place: 2 x 10,000)

Faded completion — last step is yours

"In 47,000, the 7 is in the thousands place, so its value is 7 x 1,000 = ___" -> 7,000

Ready to practise?

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

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