Comparing Decimals Study Guide PDF

Comparing Decimals Study Guide Comparing Decimals Decimals are numbers that represent parts of a whole. They are written with a decimal point separating the whole number part from the fractional part. For example, in the number 3.45, '3' is the whole numbe...

Comparing Decimals Study Guide Comparing Decimals Decimals are numbers that represent parts of a whole. They are written with a decimal point separating the whole number part from the fractional part. For example, in the number 3.45, '3' is the whole number part, and '45' is the fractional part. Decimal Place Values: - Tenths: The first digit to the right of the decimal point - Hundredths: The second digit to the right of the decimal point - Thousandths: The third digit to the right of the decimal point Steps to Compare Decimals: 1. Align the decimal points of the numbers you want to compare. 2. Compare the digits in each place value, starting from the left. 3. The first place where the digits differ determines which number is greater. 4. If all the digits are the same, the numbers are equal. Examples of Comparing Decimals: Example 1: Compare 0.35 and 0.37 Step 1: Align the decimals: 0.35 and 0.37 Step 2: Compare the digits. The tenths are the same (3), but the hundredths differ. Since 5 < 7, 0.35 < 0.37. Example 2: Compare 2.5 and 2.50 Step 1: Align the decimals: 2.50 and 2.50 Step 2: Compare the digits. They are the same, so 2.5 = 2.50. Page 1  Comparing Decimals Study Guide Common Mistakes to Avoid: - Forgetting to align the decimal points before comparing - Ignoring trailing zeros (e.g., thinking 2.5 and 2.50 are different) - Comparing digits without considering their place value Practice Problems: 1. Compare 0.45 and 0.54 2. Compare 1.2 and 1.19 3. Compare 3.001 and 3.01 4. Compare 0.8 and 0.80 Answers: 1. 0.45 < 0.54 2. 1.2 > 1.19 3. 3.001 < 3.01 4. 0.8 = 0.80 Page 2