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Lesson: Fixing Incorrect Scientific Notation
Συνεισφορά από: Warren
Fixing Incorrect Scientific Notation

When d ≥ 10 or d < 1.
35 × 105 = 3.5 × 106

0.026 × 105 = 2.6 × 103
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
500 × 109

(5 × 102) × 109

5 × 102+9

5 × 1011
Step 2
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
40 × 10-5

(4 × 101) × 10-5

4 × 101+-5

4 × 10-4
Step 2
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
0.008 × 106

(8 × 10-3) × 106

8 × 10-3+6

8 × 103
Step 2
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
0.5 × 10-8

(5 × 10-1) × 10-8

5 × 10-1+-8

5 × 10-9
Step 2
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
5,400 × 104

(5.4 × 103) × 104

5.4 × 103+4

5.4 × 107
Step 2
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
1,600 × 10-9

(1.6 × 103) × 10-9

1.6 × 103+-9

1.6 × 10-6
Step 2
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
0.0079 × 105

(7.9 × 10-3) × 105

7.9 × 10-3+5

7.9 × 102
Step 2
Fixing Incorrect Scientific Notation:
1. Write the decimal part in scientific notation
2. Multiply the powers of ten (add the exponents)
Step 1
0.92 × 10-9

(9.2 × 10-1) × 10-9

9.2 × 10-1+-9

9.2 × 10-10
Step 2
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
3,000 × 106

(       × 10     ) × 106

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
1,000 × 10-5

(       × 10     ) × 10-5

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
0.005 × 104

(       × 10     ) × 104

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
0.05 × 10-8

(       × 10     ) × 10-8

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
78 × 106

(       × 10     ) × 106

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
36 × 10-9

(       × 10     ) × 10-9

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
0.0055 × 109

(       × 10     ) × 109

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
0.34 × 10-3

(       × 10     ) × 10-3

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
571 × 105

(       × 10     ) × 105

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
375.8 × 10-9

(       × 10     ) × 10-9

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
0.006887 × 109

(       × 10     ) × 109

        × 10
1. Write the decimal part in scientific notation
PRACTICE
2. Multiply the powers of ten (add the exponents)
0.005045 × 10-5

(       × 10     ) × 10-5

        × 10
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