Question

Classify each number according to its value. 3. 2 × 105 1. 9 × 10-1 2. 2 × 103 2. 4 × 103 5. 9 × 102 6. 1 × 101 2. 5 × 104

Answer 1

3.2×10^5 > 2.5×10^4 > 2.4×10^3 > 2.2×10^3 > 5.9×10^2 > ...

6.1×10^1 > 1.9×10^-1

Explanation:

You want the given numbers "classified."

3.2×10^5, 1.9×10^-1, 2.2×10^3, 2.4×10^3, 5.9×10^2, 6.1×10^1, 2.5×10^4

Order

No classes are given, but we can put them in descending order.

Numbers in scientific notation can be compared by comparing their exponents. The larger exponent is associated with the larger number. When the exponents have the same value, the larger coefficient identifies the larger number.

The 7 given numbers have exponents of 5, -1, 3, 3, 2, 1, 4. In decreasing order, the exponents will be 5, 4, 3, 3, 2, 1, -1.

The two numbers with exponents 3 have coefficients of 2.2 and 2.4. The 2.4×10^3 value is larger.

In decreasing order, the numbers are ...

3.2×10^5, 2.5×10^4, 2.4×10^3, 2.2×10^3, 5.9×10^2, 6.1×10^1, 1.9×10^-1

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