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Converting Scientific Notation

Introduction

Terms

Examples

5.21∗1035.21 * 10^{3}
Exponent is positive, so move decimal point right
5.210=>52.105.210 => 52.10
52.10=>521.052.10 => 521.0
521.0=>5210.521.0 => 5210.
5.21∗103equals5,210indecimal5.21 * 10^{3} equals 5{,}210 in decimal

1.11∗1051.11 * 10^{5}
Exponent is positive, so move decimal point right
1.11000=>11.10001.11000 => 11.1000
11.1000=>111.00011.1000 => 111.000
111.000=>1110.00111.000 => 1110.00
1110.00=>11100.01110.00 => 11100.0
11100.0=>111000.11100.0 => 111000.
1.11∗105equals111,000indecimal1.11 * 10^{5} equals 111{,}000 in decimal

2.85∗10−32.85 * 10^{-3}
Exponent is negative, so move decimal point left
2.85=>.2852.85 => .285
.285=>.0285.285 => .0285
.0285=>.00285.0285 => .00285
2.85∗10−3equals0.00285indecimal2.85 * 10^{-3} equals 0.00285 in decimal

9.54∗10−29.54 * 10^{-2}
Exponent is negative, so move decimal point left
9.54=>.9549.54 => .954
.954=>.0954.954 => .0954
9.54∗10−2equals0.0954indecimal9.54 * 10^{-2} equals 0.0954 in decimal

Converting Scientific Notation Worksheets (PDF)

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