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Place Value × 10 Pattern

Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10)

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What a learner can do afterwards

  • Explain that the 3 in 3,000 is ten times the 3 in 300
  • Complete: 700 ÷ 70 = __ and explain using place-value reasoning
  • State how many times greater the value of the 5 in 50,000 is than the 5 in 5,000

The lesson

You already know that every digit in a number has its own place value. Here is the pattern that connects them: when a digit moves one place to the left, its value becomes exactly ten times bigger.

3003003,0003000
The 3 in 3,000 is ten times the 3 in 300. One place left, ten times bigger.
Try it together

Look at 700 and 70. The 7 in 700 sits in the hundreds place. The 7 in 70 sits in the tens place, one place to the right. So the 7 in 700 is worth ten times the 7 in 70. That is why 700 divided by 70 equals 10.

7070700700
Good to know

Quick check: each step a digit moves to the left adds one more zero to its value, and one more zero means times 10.

Move a digit one place to the left, and its value multiplies by 10.

Watch it

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Place Value × 10 Pattern · Mathematics, ages 9 to 10 · LightMySky