×10 and ÷10
×10 slides digits one place left, ÷10 slides them right — places change, digits don't
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×10 slides digits one place left, ÷10 slides them right — places change, digits don't
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Multiplying by 10 is more than "stick a zero on": every digit's place value grows ten times, which looks like each digit card sliding one place left on the chart. Dividing by 10 slides them right. Empty places get zeros and the decimal point follows the digits — 34÷10=3.4 and 3.4×10=34 slide right back to each other.
Watch digit cards slide along the place-value chart: left for ×10, twice for ×100, right for ÷10 — with zero placeholders and the moving decimal point.