Question
he following numbers are written in scientific notation: 1.25×105
and 2.2×10−2
. After multiplying the numbers, what is the exponent of 10?(1 point)
$$
and 2.2×10−2
. After multiplying the numbers, what is the exponent of 10?(1 point)
$$
Answers
GPT-4o mini
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 \( \boxed{3} \).
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 \( \boxed{3} \).