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Rounding to powers of 10
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Foundational skills
Identify place value
\[ \text{Example: } 4,628 \]
In the number 4,628, which digit is in the hundreds place?
Identify the decision digit
\[ \text{Round } 3,847 \text{ to 100} \]
Which digit decides if we round up or down?
Apply the rounding rule
\[ 7 \rightarrow \text{Up/Down?} \]
Does a specific digit mean round up or down?
Rounding to nearest 10
Two-digit numbers
\[ 36 \rightarrow 40 \]
Round 36 to the nearest 10.
Cascade to 100
\[ 96 \rightarrow 100 \]
Round 96 to the nearest 10.
Three-digit numbers
\[ 237 \rightarrow 240 \]
Round 237 to the nearest 10.
Four-digit numbers
\[ 2,345 \rightarrow 2,350 \]
Round 2,345 to the nearest 10.
With decimals
\[ 34.7 \rightarrow 30 \]
Round 34.7 to the nearest 10.
Rounding to nearest 100
Three-digit numbers
\[ 237 \rightarrow 200 \]
Round 237 to the nearest 100.
Four-digit numbers
\[ 2,345 \rightarrow 2,300 \]
Round 2,345 to the nearest 100.
With decimals
\[ 345.7 \rightarrow 300 \]
Round 345.7 to the nearest 100.
Rounding to nearest 1000
Four-digit numbers
\[ 2,345 \rightarrow 2,000 \]
Round 2,345 to the nearest 1000.
Five-digit numbers
\[ 23,456 \rightarrow 23,000 \]
Round 23,456 to the nearest 1000.
Six-digit numbers
\[ 234,567 \rightarrow 235,000 \]
Round 234,567 to the nearest 1000.
Large Numbers & Special Cases
Nearest 10,000
\[ 23,456 \rightarrow 20,000 \]
Round to the nearest 10,000.
Nearest 100,000
\[ 234,567 \rightarrow 200,000 \]
Round to the nearest 100,000.
Double rounding error
\[ 347 \rightarrow 350 \rightarrow 400? \]
Understanding why intermediate steps cause errors.
Round to 10, 100, 1000
\[ 3,452 \rightarrow 3,450; 3,500; 3,000 \]
Round a single number to three different degrees of accuracy.
Timer (Optional)
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Question