Chapter 1, Problem 4P

Write out the following numbers in full with the correct number of zeros: (a) 8.69×10⁴, (b) 9.1×10³, (c) 8.8×10-1, (d) 4.76×10², and (e) 3.62×10-5.

To determine

(a)

Write out the following numbers with a correct number of zeros:

8.69×10⁴

Answer to Problem 4P

Solution:

86900

Explanation of Solution

Given:

8.69×10⁴ is the number and we must find a number of zeroes.

Solution:

Since the power of 10 is 4 we move the decimal to right up to four places and add trailing zeroes as we move further.

To determine

(b)

Write out the following numbers with a correct number of zeros:

9.1 × 10³

Answer to Problem 4P

Solution:

9100

Explanation of Solution

Given:

9.1 × 10³ is the number and we have to find a number of zeroes.

Solution:

Since the power of 10 is 3 we move the decimal to right up to three places and add trailing zeroes as we move further.

To determine

(c)

Write out the following numbers with a correct number of zeros:

8.8 × 10^-1

Answer to Problem 4P

Solution:

0.88

Explanation of Solution

Given:

8.8 × 10^-1 is the number and we must find a number of zeroes.

Solution:

Since the power of 10 is -1 we move the decimal to left up to one place.

To determine

(d)

Write out the following numbers with a correct number of zeros:

4.76 × 10²

Answer to Problem 4P

Solution:

476

Explanation of Solution

Given:

$4.76\times {10}^2$ is the number and we must find a number of zeroes.

Solution:

Since the power of 10 is 2 we move the decimal to right up to two places.

To determine

(e)

Write out the following numbers with a correct number of zeros:

3.62 × 10^-5

Answer to Problem 4P

Solution:

0.0000362

Explanation of Solution

Given:

3.62 × 10^-5 is the number and we must find a number of zeroes.

Solution:

Since the power of 10 is -5 we move the decimal to left up to five places and add trailing zeroes as we move further.