Multiplication
in Other Math Topics by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

We can multiply two of the numbers together: let’s choose 3.6×8.5.

Write the numbers as (3+0.6)(8+0.5). We need to multiply like this:

3(8+0.5)+0.6(8+0.5) to make the arithmetic easier: 24+1.5+4.8+0.3. Note where the decimal point is.

When we add together just the decimal fractions we get 1.6, and when we add the whole numbers we get 29 so 29+1.6=30.6.

Now we take the remaining number and multiply by the result above: 0.54×30.6.

We write this as 0.54×(30+0.6)=0.54×30+0.54×0.6. 30 is 3×10 and to multiply by 10 we just move the decimal point of 0.54 one place to the right: 5.4 then we can multiply by 3: 0.54×30=5.4×3=16.2.

To multiply 0.54 by 0.6 we multiply 54 by 6=324. We add the number of decimal places from the two numbers: 0.54 has 2 decimal places and 0.6 has 1 decimal place, 2+1=3, so we take our product 324 and count three decimal places from the right to give us 0.324.

So we finally add 16.2 to 0.324 to get 16.524.

by Top Rated User (720k points)

Related questions

1 answer
asked Nov 20, 2014 in Algebra 1 Answers by anonymous | 135 views
1 answer
1 answer
1 answer
asked Jan 16, 2014 in Other Math Topics by alice | 121 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
84,531 questions
89,491 answers
1,999 comments
11,942 users