Divide by 0.01 Using Place Value
Dividing a number by 0.01 is equivalent to finding the total number of hundredths in that number, which is the same as multiplying by 100. This works because dividing by 1/100 is the same as multiplying by 100. 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 $0.01$ is equivalent to finding the total number of hundredths in that number. This is the same as dividing by the unit fraction $\frac{1}{100}$ or multiplying by 100. $$x \div 0.01 = x \div \frac{1}{100} = x \times 100$$.
Common Questions
What does dividing by 0.01 mean?
Dividing by 0.01 asks how many hundredths are in the number, which is the same as multiplying by 100, since each whole number contains 100 hundredths.
Why is dividing by 0.01 the same as multiplying by 100?
Because 0.01 equals 1/100, dividing by 1/100 is the same as multiplying by its reciprocal, which is 100.
What is an example of 8 divided by 0.01?
Ask how many hundredths are in 8. Since 1 whole has 100 hundredths, 8 wholes have 800 hundredths. So 8 divided by 0.01 equals 800.
What is an example of 4.2 divided by 0.01?
The number 4.2 equals 4.20, which is 420 hundredths. So 4.2 divided by 0.01 equals 420.