POWERS OF 10

PROBLEMS (2)

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8.  Units

 8.  a)  Let 5 be the unit, and count to 30.  "5, 10, 15, 20, 25, 30."

 8.  b)  Let 10 be the unit and, starting at 34, count to 104.

"34, 44, 54, 64, 74, 84, 94, 104."

  8.  c)  Let  1
6		  be the unit, and count to  5
6		 .    " 1
6		 ,  2
6		 ,  3
6		 ,  4
6		 ,  5
6		 ."

 9.  Expanded form.  Write each of the following in expanded form.

 9.  a)  24 =   2 Tens + 4 Ones, or, 20 + 4.

 9.  b)  346 =   3 Hundreds + 4 Tens + 6 Ones, or, 300 + 40+ 6.

 9.  c)  5,007 =   5 Thousands + 0 Hundreds + 0 Tens + 7 Ones, or,

5,000 + 7.

 9.  d)  21,053 = 2 Ten thousands + 1 Thousand + 0 Hundreds +

5 Tens + 3 Ones.

10.  The unit at each place.  In this number

705,811,426,319

11.  there are how many

11.  a)  ones?  9         b)  ten thousands?  2

11.  c)  hundred millions?  8

11.   d)  ten billions?  0      e)  hundreds?  3

11.  In each of the following, what is the place value of 0?

11   a)  123,045   Hundred.         b)  102,345     Ten thousand.

11   c)  123,045,678,912   Hundred million.

11.   d)  120,345,678,912   One billion.

12.  Units of adjacent place value.  What is the relationship between
13.  units of adjacent place value?

1 unit of higher value is equal to -- or may be decomposed into -- 10 units of the next lower value.

13.  a)  1 ten = 10 ones.

13.  b)  1 hundred = 10 tens.

13.  c)  1 thousand = 10 hundreds.

14.  Answer with either the next higher or the next lower power of 10.

14.  a)   10 ones can be composed into 1 ten.

14.  b)  10 tens can be composed into 1 hundred.

14.  c)  10 hundreds can be composed into  1 thousand.

14.  d)  1 ten can be decomposed into 10 ones.

14.  e)  1 hundred can be decomposed into 10 tens.

14.  f)  1 thousand can be decomposed into 10 hundreds.

14.  g)  10 hundred-thousands can be composed into 1 million.

15.   Rounding.  Round  81,536

15.  a)  to the nearest ten.  81,540

15.  b)  to the nearest hundred.  81,500

15.  c)  to the nearest thousand.  82,000

16.   a)  Round  89,436  to the nearest thousand.  89,000

16.   b)  Round  89,536  to the nearest thousand.  90,000


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