SCIENTIFIC NOTATION WITH POSITIVE POWERS OF 10 WORKSHEET
About "Scientific notation with positive powers of 10 worksheet"
Scientific notation with positive powers of 10 worksheet :
Worksheet on scientific notation with positive powers of 10 is much useful to the students who would like to practice solving real-world problems with scientific notation.
Scientific notation with positive powers of 10 worksheet - Problem
The weights of various sea creatures are shown in the table.
Write the weight of the Blue whale, Gray whale and Whale shark in scientific notation.
Scientific notation with positive powers of 10 worksheet - Answer
Weight of Blue whale in scientific notation :
In the given weight of blue whale (250,000 lb), we don't find decimal point. So we have to assume that there is decimal point at the end .
Then, 250,000 ---------> 250,000.
Here non zero digit comes first and decimal point comes next.
We have to move the decimal point to the left.
No. of digits between the 1st non zero digit and decimal point = 5
So, the decimal point has to be moved 5 digits to the left and exponent of 10 should be 5 (positive integer)
250,000 = 2.50000 x 10⁵ = 2.5 x 10⁵
(Here zeros after the decimal point are not taken. Because, they are not valid zeros)
Hence, the weight of Blue whale in scientific notation is 2.5 x 10⁵ lb
Weight of Gray whale in scientific notation :
In the given weight of blue whale (68,000 lb), we don't find decimal point. So we have to assume that there is decimal point at the end .
Then, 68,000 ---------> 68,000.
Here non zero digit comes first and decimal point comes next.
We have to move the decimal point to the left.
No. of digits between the 1st non zero digit and decimal point = 4
So, the decimal point has to be moved 4 digits to the left and exponent of 10 should be 4 (positive integer)
68,000 = 6.8000 x 10⁴ = 6.8 x 10⁴
(Here zeros after the decimal point are not taken. Because, they are not valid zeros)
Hence, the weight of Gray whale in scientific notation is 6.8 x 10⁴ lb
Weight of Whale shark in scientific notation :
In the given weight of blue whale (41,200 lb), we don't find decimal point. So we have to assume that there is decimal point at the end .
Then, 41,200 ---------> 41,200.
Here non zero digit comes first and decimal point comes next.
We have to move the decimal point to the left.
No. of digits between the 1st non zero digit and decimal point = 4
So, the decimal point has to be moved 4 digits to the left and exponent of 10 should be 4 (positive integer)
41,200 = 4.1200 x 10⁴ = 4.12 x 10⁴
(Here zeros after the decimal point are not taken. Because, they are not valid zeros)
Hence, the weight of Blue whale in scientific notation is 4.12 x 10⁴ lb.
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