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Grade 3Math

Mental Math with 2-Digit NumbersSplit by place, or make a friendly number

We add and subtract 2-digit numbers in our head, without writing the column method. We use two ideas: splitting the numbers by place, and making a friendly number.

The narration and the pictures are in Japanese. You can hear the same words that are used in class at a Japanese school.

Video
2:06(8 scenes)
Problems
2 problems

Open this lesson in Japanese(2けたの あん算)

Let's try

Write the math sentence in your notebook first, then open the answer.

  1. 1Calculate 68 + 24 with mental math.

    Hint

    Split the numbers into the tens place and the ones place.

    Answer

    It is 92. You can calculate 60 + 20 = 80, 8 + 4 = 12, 80 + 12 = 92.

  2. 2Calculate 71 − 38 with mental math.

    Hint

    Split the number you subtract into the tens place and the ones place, and subtract them one at a time.

    Answer

    It is 33. You can calculate 71 − 30 = 41, 41 − 8 = 33.

Words in this lesson

mental math あん算あんざん
Calculating in your head, without using the column method or an abacus.
friendly number きりのよい 数きりのよいかず
A number whose ones place is 0, like 10, 20, 30. It is easy to calculate with.

For parents and guardians

  • The names of lessons and the order of topics differ slightly between textbooks. This page follows the content of Japan's national curriculum guidelines (the Course of Study).
  • There is more than one way to do mental math. Whether your child "splits by place" or "makes a friendly number and adjusts afterward," the answer is the same. Please let your child choose the way that is easiest for them to think through.
  • Calculating a shopping total or the change together in your head at a store helps make it stick. The written column method is covered in the unit "Addition and Subtraction with 3- and 4-Digit Numbers."