Base Ten Operations
GradesFifth GradeBase Ten OperationsDecimal Place Value to Thousandths

Decimal Place Value to Thousandths

๐Ÿ”Ÿ Base Ten Operations
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Decimal Place Value to Thousandths

Zoom in past the decimal point to find tiny values!

Decimals extend our place value system to the right of the decimal point. Each place is 10 times smaller than the one to its left. After the ones place, we have tenths, hundredths, and thousandths.

Place Value Chart

Hundreds | Tens | Ones . Tenths | Hundredths | Thousandths3 | 2 | 1 . 4 | 5 | 6The number above is read: three hundred twenty-one and four hundred fifty-six thousandths

The decimal point is read as "and."

321.456=300+20+1+410+5100+61000321.456 = 300 + 20 + 1 + \frac{4}{10} + \frac{5}{100} + \frac{6}{1000}
๐Ÿ’งComparing Decimals
Compare 0.45 and 0.450: They are equal! Trailing zeros after the last significant digit do not change a decimal's value. But 0.45 > 0.045 because 4 tenths > 0 tenths.
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Each place to the right is รท10 smaller. Each place to the left is ร—10 larger.

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Remember This!

Line up decimal points when comparing or computing. The decimal point is the anchor of the whole number system.

โœ๏ธ Try It!

What is the value of the digit 7 in the number 3.074?

Take Quiz ๐Ÿ“ โ€” 25 Questions