2.8
Use Powers of 10 to Estimate Quantities
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MATHEMATICS OBJECTIVE
Students will be able to:
estimate very large and very small quantities by rounding and then writing that number as a single digit times a power of 10.
ESSENTIAL UNDERSTANDING
Very large and very small numbers can be estimated to help make computations easier, as well as create an understanding of the size of a quantity.
I can
You can estimate a very large or very small number by rounding the number to its greatest place value, and then writing that number as a single digit times a power of 10.
Very Large Numbers:
3,564,879,000 ≈ 4,000,000,000 ≈ 4 × 10^9
The number is greater than 1, so the exponent is positive.
Very Small Numbers:
0.000000235 ≈ 0.0000002 ≈ 2 × 10^(-7)
The number is less than 1, so the exponent is negative.
Count the number of zeros to determine the power of 10.
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