Multiplying and Dividing Decimals

We usually add numbers when we have different and varied data but when we are given with a set of repeated data, we multiply.

Here are some of the decimal multiplications.

How do you multiply with decimals?

Multiplying a decimal and a whole number.
Multiplying decimals with decimals.
Multiplication of decimals by 10s and 100s.

Download Worksheet - Multiplying and dividing decimals

Schedule a Free session to clear worksheet doubts

Schedule a Free Session

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

How do you multiply decimals by 10, 100, and 1000?

When we multiply a decimal by 10, 100 or 1000, the decimal point moves to the right as many zeroes are there in the factor.

Let’s see the example below –

Example: The Baker’s oven sells the best croissants in the town. Each croissant costs $1.75. If Charlene needs to buy 45 croissants for her day picnic with her friends, how much will it cost her?

Step 1. Understanding the problem

We do that by eliminating unnecessary information:

The Baker’s oven sells the best croissants in the town. Each croissant costs $1.75. If Charlene needs to buy 45 croissants for her day picnic with her friends, how much will it cost her?

Step 2. Translation and Evaluation

Translating the word problem into mathematical formula

Cost of one croissant = $1.75

Number of croissants needed to buy = 45

Total cost of croissants = 1.75 × 45

Step 3. Solving it correctly and being specific about the unit.

Total Cost of croissants = 1.75 × 45 1.75

x 45

————

= $ 78.75 875

700 x

————–

78.75

—————

How do you divide with decimals?

Division is an efficient way to subtract repeated data. It’s again same with decimal numbers. Let’s discuss stepwise how to divide decimals.

Dividing decimals with decimals.
Dividing decimals by 10s, 100s and 1000s.

How do you divide by the powers of 10?

Example: There are 21 sixth grade Math books on the shelf of the school library. If the total width is 79.38 cm thick, what is the width of one book?

Step 1. Understanding the problem

We do that by eliminating unnecessary information. (In this problem, we have question to the point).

There are 21 sixth grade Math books on the shelf of the school library. If the total width is 79.38 cm thick, what is the width of one book?

Step 2. Translation and Evaluation

Translating the word problem into mathematical formula

Total width of the books in the book shelf = 79.38 cm

No. of books in the shelf = 21

Width of one book = $\frac{79.38}{21}$

Step 3. Solving it correctly and being specific about the unit

So, width of one book = = 3.78 cm

Check Point

Solve the following:

$\frac{0.867}{100}$
$\frac{234}{10}$
Amanda made 8 trips to her parent’s home. She drove 323.2 miles in all. How far did Amanda drive for each trip?
125 × 0.2
5 × 0.87
What is the total cost of 7 shirts produced in a textile industry if one shirt costs $9.78?
10 students participated in a science club which charges $4.75 participation fee for each student. What will be the total fees paid by 10 students?

Answer key

0.00867
23.4
40.4 miles
25
4.35
$68.46
$47.5

Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12, Test Prep help for Standardized tests like SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE TRIAL Session.

Schedule a Free Session

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

Pricing for Personalized Online Tutoring

Tutoring Package	Validity	Grade (1-12), College
5 sessions	1 Month	$119
1 session	1 Month	$24
10 sessions	3 months	$229
15 sessions	3 months	$339
20 sessions	4 months	$429
50 sessions	6 months	$999
100 sessions	12 months	$1999