Kory calculated several numbers in his calculator. The result displayed 1.3E-2 on the calculator screen. Which equivalent number(s) does this represent? Select all that apply.

Question

13 × 10 exponent2
130
0.013
-0.013
1.3 × 10 exponent-2

Answer 1

The notation 1.3E-2 represents $1.3\times {10}^{-2}$. To express this in decimal form, we need to move the decimal point two places to the left:

1.3 → 0.013

Now we can analyze the options provided:

1. 13 × 10 exponent 2: This represents $13\times {10}^2=1300$, which is not equivalent.
2. 130: This is just the number 130, which is not equivalent.
3. 0.013: This is equivalent to $1.3\times {10}^{-2}$.
4. -0.013: This is not equivalent, as it is negative.
5. 1.3 × 10 exponent -2: This is equivalent to $1.3E-2$ or $1.3\times {10}^{-2}$.

The correct answers are:

• 0.013
• 1.3 × 10 exponent -2