DO YOU UNDERSTAND
DO YOU KNOW HOW
PRACTICE/PROBLEM SOLVING
PRACTICE/PROBLEM SOLVING PT. 2
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PGS. 98 (Q1)SELECT ALL OF THE STATEMENTS THAT ARE TRUE ABOUT SCIENTIFIC NOTATION.

A. IT IS AN EFFICIENT WAY OF WRITING VERY LARGE OR SMALL NUMBERS.

B. IT CONSISTS OF THE PRODUCT OF TWO FACTORS GREATER THAN OR EQUAL TO 1, BUT LESS THAN 10.

C.  THE SECOND FACTOR MUST HAVE A ZERO IN IT.

D.  THE SECOND FACTOR MUST BE A POWER OF 10.

A. EFFICIENT WAY OF WRITING VERY SMALL OR LARGE NUMBERS.

B.  TWO FACTORS GREATER THAN OR EQUAL TO 1, BUT LESS THAN 10.

C. MUST BE A POWER OF 10.

*NUMBER 1 PG. 98 (WRITE)

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5. EXPRESS 586,400,000 IN SCIENTIFIC NOTATION.

5.864 X 108

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PG. 99

9.  THE SUN IS 1.5 X 108 KILOMETERS FROM EARTH. 1.5 X 108 IS WRITTEN AS_____________IN STANDARD FORM. 

150,000,000

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13.  SIMONE EVALUATES AND EXPRESSION USING HER CALCULATOR.   5.2E-11.

EXPRESS THE NUMBER IN STANDARD FORM.

0.000000000052

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2.  HUGO STATES THAT 2,800,000 IN SCIENTIFIC NOTATION IS 2.8 X 10-6 BECAUSE THE NUMBER HAS SIX PLACES TO THE RIGHT OF THE 2. IS HUGO'S REASONING RIGHT?

NO, THE NUMBER NEEDS TO HAVE A POSITIVE EXPONENT BECAUSE THE NUMBER IS GREATER THAN 1.

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6A.  THE GENETIC INFORMATION OF ALMOST EVERY LIVING THING IS STORED IN A TINY STRAND CALLED DNA. HUMAN DNA IS 3.4 X 10-8.

0.000000034

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9. THERE ARE ___ SIGNIFICANT DIGITS IN 150,000,000.

2   (1 AND 5)

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13b.  PETER EVALUATES AN EXPRESSION USING HIS CALCULATOR.  8.19E18

EXPRESS THE NUMBER IN STANDARD FORM.

8,190,000,000,000,000,000

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3. SAM SAYS THAT BOTH O.OO32 AND O.0302 HAS TWO SIGNIFICANT DIGITS BECAUSE ZEROS ARE NOT SIGNIFICANT.   

DO YOU AGREE?

NO, A ZERO BETWEEN TWO NONZERO NUMBERS IS SIGNIFICANT

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6B.  HOW MANY SIGNIFICANT DIGITS ARE THERE IN THE MEASUREMENT?   0.000000034

2  (3 AND 4)

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10. USE WHAT YOU KNOW ABOUT SCIENTIFIC NOTATION TO WRITE -0.0000000000000000587 CAN BE WRITTEN AS ______ X 10__

-5.87 X 10-17

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4. HOW MANY TIMES GREATER IS 2.31 X 1023  THAN 3.568 X 10-7 ?

ABOUT 1030

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7.  THE LARGEST VIRUS KNOWN IS THE MEGAVIRUS, WHICH MEASURES 0.00000044 METER ACROSS. EXPRESS THIS NUMBER IN SCIENTIFIC NOTATION.

4.4 X 10-7 METER

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11.  IS 23 X 10-8 WRITTEN IN SCIENTIFIC NOTATION?   JUSTIFY YOUR RESPONSE.

NO; THE FIRST FACTOR IS NOT BETWEEN 1 AND 10

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HOW DO YOU KNOW WHAT NUMBER THE EXPONENT WILL BE?

THE EXPONENT IS THE NUMBER OF SPACES YOU MOVE THE DECIMAL POINT OR THE NUMBER OF TIMES YOU MULTIPLY 10 AS A FACTOR TO GET THE PLACE VALUE OF THE FIRST DIGIT OF THE NUMBER IN STANDARD FORM.

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8.  HOW WOULD YOU WRITE THE NUMBER DISPLAYED ON THE CALCULATOR SCREEN IN STANDARD FORM?

7.6 E 12

7,600,000,000,000

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12. IS 8.6 X 107 WRITTEN IN SCIENTIFIC NOTATION?  JUSTIFY YOUR RESPONSE.

YES, BECAUSE THE FIRST FACTOR, 8.6, IS BETWEEN 1 AND 10 AND 107 IS A POWER OF 10

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