SME
Grade 4 Math · Number & Base Ten
Place value and rounding to one million
Use this for “What is the value of the 7 in 27,350?”
Chart
thousands
7
hundreds
0
tens
0
ones
0
7 thousands.
1 thousand = 10 hundreds.
This is an example. Type your own values to start a new problem.
Digit
×
Its place
=
Value of the digit
Same digit one place right
calculated
Formulas
7 × 1,000 = 7,000
Digit × its place = value of the digit
7,000 ÷ 10 = 700
Value of the digit ÷ 10 = same digit one place right
Assumptions
•
A digit’s value is the digit times its place: 7 in the thousands place is 7,000.
•
Each place is 10 times the place to its right. Moving a digit one place right divides its value by 10.
•
Places up to hundred thousands: numbers to 999,999.
•
The chart shows the digit in its place, with × 10 and ÷ 10 to its neighbors.
Step-by-step
WE KNOW
Digit: 7
Its place: 1,000
FIND
value of the digit, same digit one place right
Step 1 · Find value of the digit
7 × 1,000 = ?
Digit × its place = value of the digit
The digit is in the thousands place. Multiply it by that place.
7 × 1,000 = 7,000
Value of the digit = 7,000
Step 2 · Find same digit one place right
7,000 ÷ 10 = ?
Value of the digit ÷ 10 = same digit one place right
A
place
to
the
right
is
worth
1
10
as
much:
divide
the
value
by
10.
7,000 ÷ 10 = 700
Same digit one place right = 700
Check
Put the numbers back in. Both sides should match.
7 × 1,000 = 7,000 ✓
7,000 ÷ 10 = 700 ✓
Topic check
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