he following numbers are written in scientific notation: 1.25×105

Question

and 2.2×10−2
. After multiplying the numbers, what is the exponent of 10?(1 point)
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Answer 1

To multiply two numbers in scientific notation, you multiply the coefficients and add the exponents of 10.

So we have: \[ 1.25 \times 10^5 \quad \text{and} \quad 2.2 \times 10^{-2} \]

First, multiply the coefficients: \[ 1.25 \times 2.2 = 2.75 \]

Next, add the exponents: \[ 5 + (-2) = 3 \]

Thus, when you multiply the two numbers, you get: \[ 2.75 \times 10^3 \]

The exponent of 10 after multiplication is \( \boxed{3} \).