Read Hundreds, Tens, and Ones in Expanded Form
Multiply the hundreds digit by one hundred and the tens digit by ten.
About 15 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: For 642, six hundreds give 600, four tens give 40, and two ones give 2.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Expanded form names the value of each digit. A digit in the hundreds place represents that many hundreds, rather than that many ones. A zero means that place contributes no groups, but its position still matters in the numeral.
Multiply the hundreds digit by one hundred and the tens digit by ten. Join those values with the ones. Read the resulting numeral and check that each digit still occupies its intended place.
Keep a place-value chart beside the numeral. Three tens means thirty, not three. Make labeled Hundreds, Tens, and Ones columns.
- Make labeled Hundreds, Tens, and Ones columns.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Multiply the hundreds digit by one hundred and the tens digit by ten.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
For 642, six hundreds give 600, four tens give 40, and two ones give 2. Expanded form is 600+40+2. Adding these parts gives 642. Reversing the values as 6+400+20 would describe 426 instead. Keep a place-value chart beside the numeral. Three tens means thirty, not three. Make labeled Hundreds, Tens, and Ones columns.
Check your reasoning
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Helpful tips
- Keep a place-value chart beside the numeral.
- Three tens means thirty, not three.
See the answer and explanation
237
Join the place values, not only the digit labels. The result is 237.
Take it further
Write 705 in expanded form. Expected: 700+5; the tens place is zero.
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