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Solve the Decimal Addition Problem: 0.18 + 0.2 + 0.07
Mathematics
Grade 5 of Primary School
Question Content
0.18 + 0.2 + 0.07 =
Correct Answer
0.45
Detailed Solution Steps
1
Step 1: Align the decimal points of the numbers, then add the hundredths place first: 8 + 0 + 7 = 15. Write down 5 in the hundredths place and carry over 1 to the tenths place.
2
Step 2: Add the tenths place along with the carried-over 1: 1 + 2 + 0 + 1 = 4. Write down 4 in the tenths place.
3
Step 3: The ones place of all numbers is 0, so the ones place of the result is 0. Combine the digits to get 0.45.
Knowledge Points Involved
1
Decimal Addition Rule
When adding decimals, align the decimal points of all addends to ensure the corresponding digit places (ones, tenths, hundredths, etc.) are aligned. Then add digits from the rightmost place to the left, carrying over to the next higher place when the sum of a place is 10 or greater. This rule ensures that we are adding values of the same place value correctly.
2
Place Value of Decimals
Decimals have place values such as tenths (1/10), hundredths (1/100), thousandths (1/1000), etc. Each digit's position after the decimal point represents a fraction of a whole number. For example, in 0.18, 1 is in the tenths place and 8 is in the hundredths place.
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