Name _____________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 9 Magnitude, Scientific Notation and Comparing
Simplify:
6𝑐 2 𝑑5 𝑒𝑓
18𝑐𝑑3 𝑒 2 𝑓
Date _________
1 − 𝑏 − 3𝑏 − 𝑏 + 5 − 4 + 2𝑏
Student Outcomes
 I can know that the exponent of an expression provides information about the magnitude of a
number.
 I can write numbers in scientific notation and understand what is meant by the term leading
digit.
 I can compare numbers expressed in scientific notation.
Write the following numbers as a base 10 and exponent.
1) 10
2) 100
3) 1,000
6) .1
7) .001
8) .00001
4) 1,000,000
5) 1,000,000,000
9) .0001
10) .0000001
When you are asked to convert from standard notation to scientific notation you may want to
use the 5-Box method. It looks like this:
# of decimal point moves
# from 1-9
×
10
+ or -
32000 would be:
+
3.2
×
10
4
Name _____________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 9 Magnitude, Scientific Notation and Comparing
Date _________
Write each number in scientific notation.
1) 34,000
2) 0.000438
3) 2,703
4) 0.034
5) 567,000
6) 0.0056
7) 0.07882
8) 0.00000272338
9) 118000
10) 87200
11) .00002786
12) 0.000000664
Determine whether or not each of the following is in scientific notation. If it is not, write the
number in scientific notation.
1) 23.89  108
5) 3.65  10-3
2) 8.654  106
6) 467  10–3
3) 853.4  105
7) 2.5  101
4) 6.23  10-23
8) 0.163  10–2
Name _____________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 9 Magnitude, Scientific Notation and Comparing
Date _________
Write each number in standard form.
1) 3.443 × 10-7
2) 7.75 × 107
3) 5.8 × 102
4) 1.525 × 106
5) 658.157 × 10-5
6) 5.1821 × 10-4
7) .121 × 103
8) 5.2314 × 10-6
9) .741 × 10-5
Compare the following numbers using >, <, or =.
1) 5.4 × 104 ___ 3.8 × 105
2) 4.7 × 104 ___ 47 × 105
3) 53000 ___ 5.3 × 104
4) 230 × 10-3 ___ .35
5) 1.6 × 10-2 ___ 720 × 10-4
6) .001 × 101 ___ 1000 × 10-6
Order the numbers from least to greatest.
1) 105, 10-3, 100, 10-1, 101
2) 9 × 10-7, 8 × 10-8, 7 × 10-6, 6 × 10-10
3) 50.1 × 10-3, 4.8 × 10-1, 0.52 × 10-3, 56 × 10-2
Name _____________________________
Unit 1 Exponential Notation and Properties of Integer Exponents
Day 9 Magnitude, Scientific Notation and Comparing
Date _________
Exit Ticket
1) Salt water has an approximate surface area of 352,000,000 km2. Write the surface area in scientific
notation.
2) Compare 2.01 × 1015 and 2.8 × 1013. Which number is larger? Explain.