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Grade 4 · Foundations · 8 minute lesson

Add tenths and hundredths together

Align decimal places when adding two-place decimals.

Lesson 19 of 30 in Grade 4. Take the time you need; the lesson estimate is a guide.

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01 · Read and understand

What you will learn

  • Align decimal places when adding two-place decimals.
  • Explain your method and check what the result means in the stated situation.

Before you start

Multiplication and division facts, simple fractions, place value, and basic length and area measurement.

Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.

Start with a question

A pretend notebook costs $2.35 and a pencil costs $0.80. What total?

Why this math matters

Use whole cents to check decimal addition in a simple price example. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.

Hands-on mathematics materials for exploring numbers, shapes, and measurement
Make a representation of your own.Sketch the quantities or relationships in this question before working through the solution. The cover image sets the learning scene; it does not show this problem’s exact values.

Set up the model

A useful answer starts with clear assumptions:

  • Use the units, grouping rules, and reference whole stated in the question.
  • Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.

02 · Work through the example

Follow the reasoning, one step at a time.

Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.

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The complete worked example, one idea at a time.

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Add tenths and hundredths together

Paused

Question: Start with the question. Paused.

Question

Start with the question

A pretend notebook costs $2.35 and a pencil costs $0.80. What total?

Before you calculate

Read what is known and what you need to find. Make a prediction before moving to the first calculation.

Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.

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  1. Represent the situation

    2.35 + 0.80

    Align dollar, tenth-dollar, and hundredth-dollar places.

  2. Connect the parts

    35 cents + 80 cents = 115 cents

    Exchange one hundred cents for one dollar.

  3. State and check the result

    Total = $3.15

    Two dollars plus one dollar fifteen cents gives three dollars fifteen.

The result

Total = $3.15

Two dollars plus one dollar fifteen cents gives three dollars fifteen.

Common mistakes to catch

  • Align decimal points, not the final digit of each number.
  • Add quantities with matching units.

03 · Practice independently

Try it before revealing the answer.

Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.

Practice 1

Find 1.4 + 0.27.

Show a hint

Rename 1.4 as 1.40.

Reveal answer and explanation

1.67

Forty hundredths plus twenty-seven hundredths is sixty-seven hundredths.

Practice 2

Why is 0.3 + 0.04 not 0.7?

Show a hint

Three tenths equals thirty hundredths.

Reveal answer and explanation

The correct sum is 0.34

Thirty hundredths plus four hundredths is thirty-four hundredths.

Take the idea with you

Use whole cents to check decimal addition in a simple price example.

04 · Reflect and continue

Can you explain it in your own words?

Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.

Next lesson

Up next: Read decimals between labeled marks

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