SME
Grade 4 Math · Problem type
Read and write multi-digit numbers
Use this for “Which of these is equal to 6,000 + 60 + 6?” and number names.
Chart
hundred thousands
3
ten thousands
4
thousands
7
hundreds
8
tens
1
ones
2
3 hundred thousands + 4 ten thousands + 7 thousands + 8 hundreds + 1 ten + 2 ones.
This is an example. Type your own values to start a new problem.
Number
example
Hundred thousands
calculated
Ten thousands
calculated
Thousands
calculated
Hundreds
calculated
Tens
calculated
Ones
calculated
Formulas
347,812 has 300,000 in its hundred thousands
The hundred thousands part of the number = hundred thousands
347,812 has 40,000 in its ten thousands
The ten thousands part of the number = ten thousands
347,812 has 7,000 in its thousands
The thousands part of the number = thousands
347,812 has 800 in its hundreds
The hundreds part of the number = hundreds
347,812 has 10 in its tens
The tens part of the number = tens
347,812 has 2 in its ones
The ones part of the number = ones
300,000 + 40,000 + 7,000 + 800 + 10 + 2 = 347,812
Add the value of every digit = number
Assumptions
•
Each digit’s value is the digit times its place.
•
Expanded form adds the value of every digit.
•
Read the thousands first, then say “thousand”, then read the rest.
Step-by-step
WE KNOW
Number: 347,812
FIND
hundred thousands, ten thousands, thousands, hundreds, tens, ones
Step 1 · Find hundred thousands
347,812 has ? in its hundred thousands
The hundred thousands part of the number = hundred thousands
Find the digit in the hundred thousands place. Multiply it by 100,000.
3 × 100,000 = 300,000
Hundred thousands = 300,000
Step 2 · Find ten thousands
347,812 has ? in its ten thousands
The ten thousands part of the number = ten thousands
Find the digit in the ten thousands place. Multiply it by 10,000.
4 × 10,000 = 40,000
Ten thousands = 40,000
Step 3 · Find thousands
347,812 has ? in its thousands
The thousands part of the number = thousands
Find the digit in the thousands place. Multiply it by 1,000.
7 × 1,000 = 7,000
Thousands = 7,000
Step 4 · Find hundreds
347,812 has ? in its hundreds
The hundreds part of the number = hundreds
Find the digit in the hundreds place. Multiply it by 100.
8 × 100 = 800
Hundreds = 800
Step 5 · Find tens
347,812 has ? in its tens
The tens part of the number = tens
Find the digit in the tens place. Multiply it by 10.
1 × 10 = 10
Tens = 10
Step 6 · Find ones
347,812 has ? in its ones
The ones part of the number = ones
The ones digit is its own value.
Ones = the ones part of 347,812
Ones = 2 (347,812 = 300,000 + 40,000 + 7,000 + 800 + 10 + 2; in words: three hundred forty-seven thousand, eight hundred twelve)
Check
Put the numbers back in. Both sides should match.
347,812 has 300,000 in its hundred thousands ✓
347,812 has 40,000 in its ten thousands ✓
347,812 has 7,000 in its thousands ✓
347,812 has 800 in its hundreds ✓
347,812 has 10 in its tens ✓
347,812 has 2 in its ones ✓
300,000 + 40,000 + 7,000 + 800 + 10 + 2 = 347,812 ✓
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Place value and rounding to one million
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