Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Move from simple conversions to science and money contexts. Always check that the coefficient is at least 1 and below 10 in a final answer.
Standards: 8.EE.A.3, 8.EE.A.4 · Level: Grade 8
Problem 1 Large numbers ★★★
Write each number in scientific notation: (a) 6,300,000 (b) 480 (c) 52,000,000,000
Problem 2 Small numbers ★★★
Write each number in scientific notation: (a) 0.0004 (b) 0.0000715 (c) 0.062
Problem 3 Back to standard form ★★★
Write in standard form: (a) 3.9 × 105 (b) 8.04 × 10−3 (c) 1.2 × 107
Problem 4 Is it scientific notation? ★★★
Decide whether each is in scientific notation. If not, rewrite it correctly: (a) 45 × 103 (b) 0.7 × 105 (c) 3.1 × 10−2 (d) 10 × 102
Problem 5 Calculator notation ★★★
(a) A calculator shows 3.2E5. Write it in standard form. (b) It shows 7.5E−3. Write it in standard form. (c) Write 9.1 × 10−6 as a calculator would show it.
Problem 6 Follow the decimal point ★★★
Use the diagram to write 0.00058 in scientific notation.
Problem 7 Order small numbers ★★★
Order from least to greatest: 4.2 × 10−3, 3.9 × 10−2, 5 × 10−3, 1.1 × 10−2.
Problem 8 Multiply ★★★
Multiply and write the answer in scientific notation: (a) (3 × 104)(2.5 × 103) (b) (4 × 10−3)(6 × 105)
Problem 9 Divide ★★★
Divide and write the answer in scientific notation: (a) (8.4 × 109) ÷ (2.1 × 104) (b) (9 × 10−2) ÷ (3 × 10−6)
Problem 10 Add and subtract ★★★
Compute and write in scientific notation: (a) 3.4 × 105 + 2.6 × 104 (b) 7.1 × 10−3 − 4 × 10−4
Problem 11 How many times as much ★★★
A stadium sells 6 × 107 fan-photo downloads in a year, and a school site sells 2 × 104. How many times as many downloads does the stadium sell?
Problem 12 Town and city ★★★
A town has 6 × 104 residents and a city has 3 × 105. Use the bars to find how many times as large the city is.
Problem 13 Which is larger? ★★★
Which is larger, 7.2 × 106 or 9.5 × 105? Explain using the exponents, then confirm with standard form.
Problem 14 Choosing a unit ★★★
A red blood cell is about 0.000007 meter wide. Write this in scientific notation. Then state the width in micrometers, where 1 micrometer = 10−6 meter.
Problem 15 Radio signal delay ★★★
A space probe is 7.2 × 107 miles from Earth. A radio signal travels 1.8 × 105 miles per second. How many seconds does a message take to arrive? Convert the result to minutes and seconds.
Problem 16 Data center storage ★★★
One drive stores 2.4 × 1012 bytes. A data center has 5 × 103 drives. How many bytes can it store in all? Write it in scientific notation.
Problem 17 Hair and paper ★★★
A human hair is about 8 × 10−5 meter wide. A sheet of paper is about 1 × 10−4 meter thick. How many times as thick as the hair is the paper?
Problem 18 Country and state ★★★
A country has about 3.3 × 108 people, and one of its states has about 5.5 × 106. How many times as large is the country?
Problem 19 Concert revenue ★★★
A concert tour sells 4 × 105 tickets at $65 each. Find the total revenue in scientific notation, then in dollars.
Problem 20 Bacteria colony ★★★
One bacterium has a mass of 1 × 10−12 gram. A colony holds 2.5 × 109 bacteria. Find the colony’s mass, then find how many times as heavy a rice grain of 2.5 × 10−2 gram is.
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