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Adding & subtracting hundredths

Decimals

Japanese school year: Elementary 4

What you learn

You will learn how to add and subtract decimals up to hundredths, including numbers with different numbers of decimal digits, using column addition and subtraction. This method helps when working with precise measurements of length and weight. Familiarity with decimal place values and tenths will support your learning.

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Key points

Use this procedure when adding or subtracting decimals of different lengths. Align numbers by their decimal points rather than their trailing digits, treating empty places as zeros.

This equation shows the place value relationships of hundredths (0.010.01). Ten groups of 0.010.01 equal 0.10.1, and 100100 groups equal 11.

10×0.01=0.1,100×0.01=110 \times 0.01 = 0.1, \quad 100 \times 0.01 = 1

This method aligns whole numbers with decimals for calculation. Think of a decimal point immediately following the whole number (such as treating 55 as 5.005.00) to line up the places.

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