# Dividing Decimals by Decimals

Warmup

Move the sliders up the bars to match the number on the place value diagram. Note: After highlighting the circle, you can use the ↑ ↓ keys on your keyboard to move the circle up or down. Start with the “Ones”. When you are done, check the Submit button. Click for another problem.

Activity #1

Division of Whole Numbers by Decimals.

In this activity, you are going to explore the size of a quotient by using the red slider to choose different values for the denominator. Follow the instructions below to interact with the applet. • Set the Dividend slider to 2.
• Gradually reduce the value of the divisor by slowly moving red slider all the way to the left.
• Observe what happens to the size of the green box.
• Now, gradually increase the value of the divisor by slowly moving the red slider all the way to the right.
• Observe what happens to the size of the green box, and the other boxes.

Activity #2

Divide Decimals by Decimals • Check the solution steps to see the process of dividing two fractions before going to divide them.​
• Use the slider to increase the decimal places.

Activity #3

More on Division of Decimals. • Decide which of the following expressions would have the same value as 250 ÷ 10.

Challenge #1

Here is a diagram representing a base-ten number. The large rectangle represents a unit that is 10 times the value of the square. The square represents a unit that is 10 times the value of the small rectangle. (1.) If a large rectangle represents 1,000, what division problem did the second diagram show? What is its answer?

(2.) If a large rectangle represents 100, what division problem did the second diagram show? What is its answer?

(3.) If a large rectangle represents 10, what division problem did the second diagram show? What is its answer?

Challenge #2

(1.) Use long division to find the value of 5.04 ÷ 7.

(2.) Select all of the quotients that have the same value as 5.04 ÷ 7.

Challenge #3

A bag of pennies weighs 5.1 kilograms. Each penny weighs 2.5 grams.

Quiz Time