whats this decimal in Standard Form 3 x (1/100) + 7 x (1/1000)

Question

3 x (1/100) + 7 x (1/1000)

Answer 1

3 * ¹/₁₀₀ + 7 * ¹/₁₀₀₀

Let's convert the 7 part of the expression. Transfer one of the zeros in the fraction to the 7 like so:

3 * ¹/₁₀₀ + .7 * ¹/₁₀₀

Now that multiplier is the same, and we can add the two numbers quite easily, giving us the following:

3.7 * ¹/₁₀₀

 

Now to convert into scientific notation. We just need to count the zeroes in the multiplier and their determine their location. We have 2 of them, and they're found in the denominator. Therefore, the exponent will be to the 2nd power, and negative:

3.7 * 10^-2