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### Grade 5 - Mathematics2.1 Decimal Place Value

Place-Value Chart
 Billion 100M 10 M million hundred-thousands ten-thousands thousands hundreds tens ones . tenths hundredths thousandths 1000 millions 1,000,000s 100,000 10,000 1000s 100 10 1 . 0.1s 0.01s 0.001s 109 108 107 106 105 104 103 102 101 100 . 10-1 10-2 10-3

Decimal Place Value

• In decimal number system, the value of a digit depends on its place, or position, in the number.
• Each place has a value of 10 times the place to its right.
• To the left of the decimal point are:
units, tens, hundreds, thousands, ten thousands, hundred thousands, millions and so on.............
• To the right of the decimal point are:
tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on.............
Example:
In the decimal number 0.9876
The first digit after the decimal point is called the tenths place value. There are nine tenths in the number O.9876.
The second digit tells how many hundredths there are in the number. The number O.9876 has eight hundredths.
The third digit is the thousandths place. There are seven thousandths.
The fourth digit is the ten thousandths place which is six in this example.
Therefore, there are nine tenths, eight hundredths, seven thousandths, and six ten thousandths in the number 0.9876.

More Examples:
 two tenths 0.2 seven hundredths 0.07 thirty-two hundredths 0.32 five hundred thirteen thousandths 0.513 three and thirty-two thousandths 3.032 twenty-eight hundredths 0.28 twenty-eight thousandths 0.028 thirty-three thousandths 0.033 seventy and six hundredths 70.06 seven hundred eight and nine hundredths 708.09 four hundred forty four and four hundred forty four thousands 444.444 six thousand five hundred twenty and two hundred fifty thousand 6520.250 three hundred thirty-three and thirty three thousandths 333.033 five thousand and five tenths 5,000.5

Directions: Rewrite the following decimal numbers in digits and choose the correct answer. Also write atleast 10 examples of your own.
 Q 1: Four hundredths 0.40.040.004 Q 2: Seventeen thousand nine and eight tenths17,009.81,709.817,009.08 Q 3: Forty-two thousand, six hundred nine and five tenths42,609.542,690.54,269.5 Q 4: Four and eight thousandths4.80004.0084.080 Q 5: Seven thousand and nine tenths70,000.97,000.97,000.09 Q 6: Fifty-six and one hundred eighteen thousandths56.011856.118560.118 Q 7: Two and seven hundred two thousandths 270.22.702702.2 Q 8: Thirty three hundredths0.330.0333.3 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!