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5th grade (Eureka Math/EngageNY)

Course: 5th grade (Eureka Math/EngageNY) > Unit 2

Lesson 7: Topic G: Partial quotients and multi-digit decimal division
Math
5th grade (Eureka Math/EngageNY)
Module 2: Multi-digit whole number and decimal fraction operations
Topic G: Partial quotients and multi-digit decimal division
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Dividing decimals

Google Classroom
We'll start with simple problems like 3 / 2 and build to more complex problems like 4.5 / 0.15.
In this article, you'll learn how to divide decimals by jumping in and giving it a try without being shown how to do it first.
The problems go from easier to more difficult. Along the way there are examples and explanations to help you out if you get stuck. If you get a little confused, just think of it as a chance to learn!
Let's start by dividing whole numbers to get a decimal.

Problem set 1:

Problem 1a
  • Current
Express your answer as a decimal.
3, divided by, 2, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

Beautiful, let's move on to dividing larger whole numbers.

Problem set 2:

Problem 2a
  • Current
Express your answer as a decimal.
27, divided by, 4, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

Great, now we'll work on dividing a decimal by a whole number.

Problem set 3:

Problem 3a
  • Current
Express your answer as a decimal.
2, point, 5, divided by, 5, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

Nice! Let's move onto working with slightly bigger numbers.

Problem set 4:

Problem 4a
  • Current
Express your answer as a decimal.
9, divided by, 30, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

Sweet! Next up are even bigger numbers!

Problem set 5:

Problem 5a
  • Current
Express your answer as a decimal.
50, divided by, 40, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

Baller. Now we'll divide decimals by decimals.

Problem set 6:

Problem 6a
  • Current
0, point, 8, divided by, 0, point, 2, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

Awesome! Let's try a few that are a bit harder.

Problem set 7:

Problem 7a
  • Current
4, point, 5, divided by, 0, point, 1, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

Great, we'll finish with a few more challenging problems.

Problem set 8:

Problem 8a
  • Current
12, divided by, 0, point, 5, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

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