Decimals
Ordering decimals
Order three or four decimals from least to greatest or greatest to least. Mix tenths, hundredths and thousandths, choose the whole-number part, and print 10–16 questions.
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Multiplying decimals by powers of ten
Multiply decimals by 10, 100 or 1000. Choose tenths, hundredths or thousandths, the integer-part width and 12–25 vertical problems, with printable answer keys.
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Multiply the decimal by the stated power of ten. Track the new place of each digit and use zero placeholders where needed.
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Learning objective
What this activity builds
Explain how multiplying by a power of ten changes the value of every digit.
Worked example
Calculate 3.047 × 100.
304.700, which has the same value as 304.7.
Every digit takes a place worth one hundred times as much. The answer key retains three decimal places to match the original factor; a numerically equivalent answer without trailing zeros is also correct.
Teaching notes
Make the practice count
- Begin with tenths and ×10. Add hundredths and thousandths when students can explain each place.
- Select one multiplier for focused practice or several for a mixed sheet.
- Compare 0.6 ×10 and 0.6 ×100. The digit changes place because its value has been multiplied.
- The smallest setting has only nine possible decimal factors. Longer sheets reuse problems after the available pairs have been practiced.
- Use a place-value chart if a student adds zeros without considering the decimal point.
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