Rounding Decimals Concepts and Rules

The video tutorial explains how to round decimals to specific place values using examples and a number line. It covers rounding to the hundredths, thousandths, and tenths places, and provides formal rules for rounding. The tutorial emphasizes understanding the concept of rounding by determining which value a decimal is closer to on a number line. It also explains the decision-making process based on the digit to the right of the roundoff place digit.

What is the purpose of using a number line when rounding decimals?

• To find the average of two decimals

• To convert decimals into fractions

• To calculate the exact value of the decimal

• To visualize the position of the decimal between two whole numbers

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In the first example, why does 3.8726 round down to 3.87?

• Because 6 is more than 5

• Because 7 is greater than 5

• Because 2 is less than 5

• Because 3 is less than 5

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What is the rule for rounding when the digit to the right is less than 5?

• Increase the roundoff place digit by one

• Decrease the roundoff place digit by one

• Do not change the roundoff place digit

• Change the roundoff place digit to zero

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In the second example, what happens when the digit to the right of the roundoff place is 6?

• The roundoff place digit is decreased

• The roundoff place digit is increased

• The roundoff place digit remains the same

• The decimal is rounded down

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Why does 6.2456 round up to 6.246?

• Because 5 is less than 6

• Because 2 is more than 5

• Because 6 is more than 5

• Because 4 is less than 5

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What is the rule when a decimal is exactly in the middle between two numbers?

• Round to the nearest odd number

• Always round down

• Always round up

• Round to the nearest even number

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In the third example, why does 19.45 round up to 19.5?

• Because 9 is more than 5

• Because it is exactly in the middle

• Because 5 is more than 4

• Because 4 is less than 5

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What happens to the digits to the right of the roundoff place after rounding?

• They are converted to zero

• They are added to the roundoff place

• They are dropped

• They are doubled

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Which digit is considered the 'decision maker' in rounding?

• The roundoff place digit itself

• The digit to the right of the roundoff place

• The first digit of the decimal

• The digit to the left of the roundoff place

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What is the final rounded value of 19.45 when rounded to the tenths place?

• 19.5

• 19.45

• 19.4

• 19.6

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