Divide by 0.1 by Finding the Number of Tenths
Dividing a number by 0.1 is equivalent to finding the total number of tenths in that number, since 0.1 equals 1/10 and dividing by 1/10 is the same as multiplying by 10. This Grade 5 math skill from Eureka Math Chapter 25 covers division of fractions and decimal fractions using place value reasoning.
Key Concepts
Dividing a number by $0.1$ is equivalent to finding the total number of tenths in that number. This is based on the place value relationship that $1$ whole is equal to $10$ tenths.
Common Questions
What does dividing by 0.1 mean?
Dividing by 0.1 asks how many tenths are in the number. Since each whole has 10 tenths, dividing by 0.1 gives a result 10 times larger than the original number.
Why is dividing by 0.1 the same as multiplying by 10?
Since 0.1 equals 1/10, dividing by 1/10 is the same as multiplying by the reciprocal, which is 10.
What is an example of 7 divided by 0.1?
Ask how many tenths are in 7. Since each whole has 10 tenths, 7 wholes have 7 times 10 equals 70 tenths. So 7 divided by 0.1 equals 70.
What is an example of 3.6 divided by 0.1?
The 3 wholes contain 30 tenths and the 0.6 is 6 tenths, so there are 36 tenths total. Therefore 3.6 divided by 0.1 equals 36.