Scientific Notation: Grade 8 Math Quiz – PDF Download
Ten multiple-choice questions check scientific notation: converting between standard form and scientific notation, comparing sizes, reading calculator displays, and multiplying and dividing. Some questions use a figure. Pick the one correct answer, then read the explanation. Aim for 8 out of 10.
Grade 8Common Core: 8.EE.A.3 · 8.EE.A.4
🎯 Scientific Notation – Grade 8 math quiz
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Question 1
Which is 45,000 in scientific notation?The point moves 4 places left.
A\(4.5\times10^{3}\)
B\(45\times10^{3}\)
C\(0.45\times10^{5}\)
D\(4.5\times10^{4}\)
Question 2
Which is 0.0072 in scientific notation?The point moves 3 places right.
A\(7.2\times10^{-3}\)
B\(7.2\times10^{3}\)
C\(7.2\times10^{-2}\)
D\(7.2\times10^{-4}\)
Question 3
What is \(6.03\times10^{5}\) in standard form?
A60,300
B6,030,000
C603,000
D0.0000603
Question 4
What is \(2.5\times10^{-4}\) in standard form?
A0.0025
B0.000025
C250,000
D0.00025
Question 5
A calculator display is shown. What number does it show?The display reads 1.8E7.
A18,000,000
B1,800,000
C180,000,000
D0.00000018
Question 6
Which number is the greatest?
A\(9.9\times10^{-2}\)
B\(5.0\times10^{-2}\)
C\(8.7\times10^{-3}\)
D\(1.2\times10^{-1}\)
Question 7
How many times as large is the first number as the second?Compare the two numbers.
A\(2\times10^{4}\)
B\(2\times10^{3}\)
C\(1.8\times10^{12}\)
D\(2\times10^{11}\)
Question 8
What is \((2\times10^{5})(4\times10^{3})\)?
A\(8\times10^{8}\)
B\(8\times10^{15}\)
C\(6\times10^{8}\)
D\(8\times10^{2}\)
Question 9
What is \(\frac{9\times10^{6}}{3\times10^{2}}\)?
A\(3\times10^{8}\)
B\(3\times10^{4}\)
C\(6\times10^{4}\)
D\(3\times10^{12}\)
Question 10
Light travels \(1.86\times10^{5}\) miles each second. How far does it go in 3 seconds?Rate and time.
A\(5.58\times10^{4}\)
B\(5.58\times10^{6}\)
C\(5.58\times10^{5}\)
D\(5.58\times10^{8}\)
🎉 Quiz complete!
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Remember:
Standards 8.EE.A.3 and 8.EE.A.4: write, compare and calculate with numbers in the form \(a\times 10^{n}\).
Move the decimal point after the first nonzero digit; the number of places moved is the exponent.
To find how many times as much, divide the coefficients and subtract the exponents.
Multiply by adding exponents; add or subtract only after both numbers share the same power of 10.
Calculator notation 3.2E5 means \(3.2\times 10^{5}\), and 7.5E-3 means \(7.5\times 10^{-3}\).