Dividing Whole Numbers by 10, 100, and 1,000
Dividing Whole Numbers by 10, 100, and 1,000 is a Grade 5 math skill from Eureka Math that builds on place value understanding. Students learn that dividing by 10, 100, or 1,000 shifts digits to the right by one, two, or three places respectively, often resulting in decimal quotients. This mental math skill is essential for decimal fluency in 5th grade.
Key Concepts
Dividing a whole number by $10$ shifts its digits one place to the right. Dividing by $100$ shifts its digits two places to the right. Dividing by $1,000$ shifts its digits three places to the right.
Common Questions
How do you divide a whole number by 10, 100, or 1,000?
Dividing by 10 shifts all digits one place to the right. Dividing by 100 shifts two places, and by 1,000 shifts three places. This often creates a decimal number.
What happens when you divide 500 by 100?
Dividing 500 by 100 shifts the digits two places to the right, giving 5. The zeros disappear and the result is a whole number.
Why does dividing by 10 move the decimal point?
Division by 10 makes a number ten times smaller, which means each digit moves one place to the right in the place value system, effectively moving the decimal point left.
What Grade 5 math skill covers dividing by 10, 100, and 1,000?
Eureka Math Grade 5 covers dividing whole numbers by powers of 10 as part of the decimal and place value chapters, building fluency for decimal division.
How is dividing by 10 related to multiplying by 0.1?
Dividing by 10 and multiplying by 0.1 produce the same result. Both operations make the number ten times smaller by shifting digits one place to the right.