Grade 5 › G5U01 Place Value

Grade 5 › G5U01 Place Value › L1
GRADE 5 · ALBERTAOUTCOME AB-G5-5N1

L1 · Place value: numbers within 10 000 000; decimals to thousandths

Learning goal

“I can read, write, and take apart numbers up to 10 000 000 and decimals to thousandths, name the value of any digit, and explain how the places mirror each other around the ones place.”

Digit — one of the symbols 0-9 used to write a number. Digits get their value from where they sit.
Place value — the value a digit has because of its position: in 4,072,531 the 7 sits in the ten-thousands place, so it is worth 70,000.
Thousandths — the third place to the right of the decimal point. One thousandth is 0.001 - one whole split into 1,000 equal parts.
Millions — the place one step left of hundred-thousands. Ten hundred-thousands make one million (1,000,000).
Worked example

Read and take apart 4,072,531. Step 1 (read the periods): the commas split the number into millions, thousands, ones: 4 million, 72 thousand, 531. Step 2 (name each digit's value): 4 is 4,000,000; 0 is 0 hundred-thousands; 7 is 70,000; 2 is 2,000; 5 is 500; 3 is 30; 1 is 1. Step 3 (the pattern): moving one place left multiplies the value by 10. The 7 is worth 70,000 because it stands one place left of the 2 (worth 2,000), and 70,000 = 10 x 2,000. 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 7 in 4,072,531 is worth 70,000 because...

Paired problem — example still visible

In 8,305,426, what is the value of the digit 3? -> 300,000 (hundred-thousands place: 3 x 100,000)

Faded completion — last step is yours

"In 6,140,295, the 1 is in the hundred-thousands place, so its value is 1 x 100,000 = ___" -> 100,000

Ready to practise?

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

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