THE MEANING OF DECIMALS

PROBLEMS

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1.  Draw a rectangle and divide it into tenths.

1.  a)  Let that rectangle represent 100.  What number is the tenth part
1.  a)  of 100?  10

1.  b)  Let that rectangle represent 10.  What number is the tenth part
1.  a)  of 10?  1

1.  c)  Let that rectangle represent 1.  What number is the tenth part
1.  a)  of 1?  .1

2.  In this number   0.23104968   name the decimal unit at each decimal
2.  place.

Tenths, hundredths, thousandths, ten-thousandths, hundred-thousandths, millionths, ten-millionths, hundred-millionths.

3.  In this number   1,004,567.298003   which digit is in the following
3.  place?

3.  a)  ones  7                 b)  hundredth  9         c)  hundred  5

3.  d)  thousand  4         e)  thousandth  8         f)  tenth  2

3.  g)  ten  6                   h)  millionth  3            i)  million  1

4.  In this number   308.476215   what is the place value of

4.  a)  8  Ones         b)  5  Millionths         c)  4  Tenths

4.  d)  2  Ten-thousandths         e)  7  Hundredths

4.  f)   3  Hundreds

5.  The unit of next lower value.

5.  a)  1 ten is composed of 10 ones.

5.  b)  1 one is composed of 10 tenths.

5.  c)  1 tenth is composed of 10 hundredths.

5.  d)  1 hundredth is composed of how many one-thousandths?  Ten.

6.  Write in expanded form.

6.   a)  26.5 = 2 Tens + 6 Ones + 5 Tenths

 b)  628.34 = 6 Hundreds + 2 Tens + 8 Ones + 3 Tenths + 4 Hundredths
 c)  9.267351 = 9 Ones + 2 Tenths + 6 Hundredths + 7 Thousandths + 3 Ten-thousandths + 5 Hundreds-thousandths + 1 Millionth

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