Question

estimate 0.037854921 to the nearest hundredth express your answer as a single digit times a power of 10

Answer 1

Answer:

$4\times 10^{-2}$.

Step-by-step explanation:

We have bee a number 0.037854921. We are asked to estimate the number to the nearest hundredth and and express answer as a single digit times a power of 10.

Round to nearest hundredth (two decimals after decimal):

$0.037854921\approx 0.04$ (Thousandths digit is greater than 5; round up)

Now, we will write 0.04 as a fraction.

$0.04\times\frac{100}{100}=\frac{4}{100}$

Write 100 as a power of 10:

$\frac{4}{100}=\frac{4}{10^2}$

Using exponent rule $\frac{1}{a^m}=a^{-m}$, we will get:

$\frac{4}{10^2}=4\times 10^{-2}$

Therefore, our required number in scientific notation would be $4\times 10^{-2}$.

Answer 2

To solve this problem you must apply the proccedure shown below:

1. Let's round the value to the nearest hundredth. As you can see, the digit 8 is in the thousandths place and is greater than 5, therefore, you must round up to 0.038.

2. Now express the value as a single digit times a power of 10, as following:

$38$x$10^{-3}$

Therefore, the answer is: $38$x$10^{-3}$