Chapter 1, Problem 3P

Write the following numbers in powers of 10 notation: (a) 1.156, (b) 21.8, (c) 0.0068, (d) 328.65, (e) 0.219, and (f) 444.

To determine

(a)

Write the following number in power of 10 notation:

1.156

Answer to Problem 3P

Solution:

1.156 × 10⁰

Explanation of Solution

Given:

1.156

Solution:

The decimal point is already to the right of the leftmost non-zero number, so the power of 10 is 0.

To determine

(b)

Write the following number in power of 10 notation:

21.8

Answer to Problem 3P

Solution:

2.18 × 10¹

Explanation of Solution

Given:

21.8

Solution:

The decimal point is moved one step to the left, such that it is right to the leftmost non-zero digit, so the power of 10 is 1.

To determine

(c)

Write the following number in power of 10 notation:

0.0068

Answer to Problem 3P

Solution:

6.8 × 10^(-3)

Explanation of Solution

Given:

0.0068

Solution:

The decimal point is moved three step to the right, such that it is right to the leftmost non-zero digit, so the power of 10 is -3.

To determine

(d)

Write the following number in power of 10 notation:

328.65

Answer to Problem 3P

Solution:

3.2865 × 10²

Explanation of Solution

Given:

328.65

Solution:

The decimal point is moved two-step to the left, such that it is right to the leftmost non-zero digit, so the power of 10 is 2.

To determine

(e)

Write the following number in power of 10 notation:

0.219

Answer to Problem 3P

Solution:

2.19 × 10^(-1)

Explanation of Solution

Given:

0.219

Solution:

The decimal point is moved one step to the right, such that it is right to the leftmost non-zero digit, so the power of 10 is -1.

To determine

(f)

Write the following number in power of 10 notation:

444.0

Answer to Problem 3P

Solution:

4.440×10²

Explanation of Solution

Given:

444.0

Solution:

The decimal point is moved two steps to the left such that it is right to the leftmost non-zero digit, so the power of 10 is 2.