๐ Topic Summary
Comparing decimals involves determining which decimal has a greater value. When comparing decimals up to the hundredths place, we look at the whole number part first. If the whole numbers are the same, we compare the tenths place, and if those are the same, we compare the hundredths place. Remember, place value is key! Understanding place value helps avoid common mistakes, like thinking 0.2 is less than 0.15.
For example, to compare 0.45 and 0.4, we see that both have 0 in the ones place and 4 in the tenths place. However, 0.45 has 5 in the hundredths place, while 0.4 can be thought of as 0.40, which has 0 in the hundredths place. Therefore, 0.45 is greater than 0.4.
๐งฎ Part A: Vocabulary
Match the term with its correct definition:
| Term |
Definition |
| 1. Tenths |
A. The place value two positions to the right of the decimal point. |
| 2. Hundredths |
B. A number that uses a decimal point to show values less than one. |
| 3. Decimal |
C. The place value one position to the right of the decimal point. |
| 4. Place Value |
D. A system where the position of a digit determines its value. |
| 5. Compare |
E. To examine the differences between numbers to determine which is greater, smaller, or equal. |
Match the correct pairs:
- ๐ 1 - C
- ๐ก 2 - A
- ๐ 3 - B
- ๐ 4 - D
- ๐ 5 - E
โ๏ธ Part B: Fill in the Blanks
Complete the following paragraph with the correct words:
When comparing decimals, start by looking at the ______ place. If these are the same, move to the ______ place. If those are also the same, compare the ______ place. For example, to compare 0.65 and 0.62, you would first look at the tenths place, which is the same. Then you would compare the hundredths place, and see that 0.65 is ______ than 0.62.
Possible Answers:
- ๐ง Whole Number
- โ Tenths
- โ Hundredths
- โ
Greater
๐ค Part C: Critical Thinking
Explain in your own words how you would compare 1.25 and 1.3. Show your work or explain your reasoning.
- ๐ก Example Answer: I would compare the whole number parts first. Both are 1, so I move to the tenths place. 1.25 has a 2 in the tenths place, and 1.3 has a 3 in the tenths place. Since 3 is greater than 2, 1.3 is greater than 1.25.