Comparing and Ordering Decimals

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Presentation transcript:

Comparing and Ordering Decimals

Place Value 1,000 100 10 1 0.1 0.01 0.001 0.0001 Tens Thousands Hundreds Ones Tenths Hundredths Thousandths Ten-thousandths

EX: 123.456 What # is in the tenths place? What # is in the ones place? What # is in the tens place?

What Do I Mean Compare Decimals? When we compare we use terms such as: Less than < Greater than > Equal to =

EX: 23.456 23.546 2.35 2.25 0.005 0.05

15, 14.95, 15.8, 15.01 Ordering Decimals: First, line up the decimal points 15.00 14.95 15.80 15.01 Second, add zeroes if needed. Finally, compare the decimals. Always start from the left!! Answer:14.95, 15, 15.01, 15.8

Equivalent Decimals Decimals that name the same number are called equivalent decimals. 0.60 and 0.6 Are these the same???

Examples: Order these numbers from greatest to least 35.06, 35.7, 35.5, 35.849 Order these numbers from least to greatest 0.018, 0.013, 0.28, 0.205, 0.035

Rounding Decimals Step 1: Underline decimal place we are rounding Circle the number to the right of the underlined decimal place Step 3: If circled digit is greater than or equal to 5, then round the underlined number up (add one) Step 4: If circled digit is less than or equal to 4, leave the underlined number the same

1)Round 1.05 to the nearest tenth Try these: 1)Round 1.05 to the nearest tenth 2) Round 0.123 to the nearest tenth 3. Round 4.568 to the nearest whole number