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Comparing Decimals. And Equivalent Decimals. Equivalent Decimals. 034 is the same as 34. The zero in the hundreds place isn't necessary. The number still has no hundredths, 3 tens and 4 ones. 1.5 is the same as 1.50 The zero at the end is not necessary, but helps in calculations.

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Comparing decimals l.jpg

Comparing Decimals

And Equivalent Decimals


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Equivalent Decimals

  • 034 is the same as 34.

  • The zero in the hundreds place isn't necessary.

  • The number still has no hundredths, 3 tens and 4 ones.

  • 1.5 is the same as 1.50

  • The zero at the end is not necessary, but helps in calculations.

  • The number still has 1 one, 5 tenths, and no hundredths.


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Zeros

  • You may add as many zeros left of digits that are before a decimal.

  • You may also add as many zeros as you want right of the digits after the decimal.

  • 000032.456000 = 032.456 = 32.456 = 32.4560000 These all have 3 tens,, 2 ones, 4 tenths, 5 hundredths and 6 thousandths.


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“Polite zero”

  • 0.42 is the same as .42,

  • however if there is no whole part (ones, tens, etc..) in a number

  • a single zero in front of the decimal is proper.


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Comparing or Ordering

  • 1) Line up the decimal2) Fill in zerosThese steps insure tenths will be compared to tenths, hundredths to hundredths, thousandths to thousandths and so on.


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Example:

  • Put these numbers in order from the largest to the smallest.0.32, 0.203, 0.03, 0.3


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Greater Than and Less Than

  • The symbol < is read “less than”

  • 5<12 Five is less than twelve.

  • The symbol > is read “greater than.”

  • 295 > 34 two hundred ninety five is greater than thirty four.


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Alligator

  • “The alligator turns to eat the bigger number” is an easy way to remember which way to write the symbol.


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