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How does the value of a digit change as it moves from the right to the left in a place value chart?
- a)Decreases by 10 times.
- b)Decreases by 1/10 times.
- c)Increases by 10 times.
- d)Increases by 1/10 times.
Correct answer is option 'C'. Can you explain this answer?
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How does the value of a digit change as it moves from the right to the...
The place value of a digit increases by 10 times as it moves from right to left in a place value chart.
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How does the value of a digit change as it moves from the right to the...
The value of a digit changes as it moves from the right to the left in a place value chart. Let's understand this concept in detail:
Understanding Place Value:
In our number system, each digit has a specific value depending on its position in a number. This is known as place value. The value of a digit is determined by its position in relation to the decimal point.
For example, in the number 345.67:
- The digit 7 is in the ones place and has a value of 7.
- The digit 6 is in the tenths place and has a value of 6/10 or 0.6.
- The digit 5 is in the hundredths place and has a value of 5/100 or 0.05.
- The digit 4 is in the thousands place and has a value of 4 * 1000 or 4000.
- The digit 3 is in the ten thousands place and has a value of 3 * 10,000 or 30,000.
Increasing Value:
As we move from right to left in a place value chart, the value of a digit increases by 10 times. This is because each digit's value is 10 times greater than the digit to its right.
For example, consider the number 345.67 again:
- The digit 5 is 10 times greater than the digit 4.
- The digit 4 is 10 times greater than the digit 3.
So, as we move from right to left, the value of each digit increases by a factor of 10.
Summary:
In a place value chart, the value of a digit changes as it moves from the right to the left. The value of a digit increases by 10 times as we go from right to left. This is a fundamental concept in our number system and helps us understand the relative values of digits in a number.
Understanding Place Value:
In our number system, each digit has a specific value depending on its position in a number. This is known as place value. The value of a digit is determined by its position in relation to the decimal point.
For example, in the number 345.67:
- The digit 7 is in the ones place and has a value of 7.
- The digit 6 is in the tenths place and has a value of 6/10 or 0.6.
- The digit 5 is in the hundredths place and has a value of 5/100 or 0.05.
- The digit 4 is in the thousands place and has a value of 4 * 1000 or 4000.
- The digit 3 is in the ten thousands place and has a value of 3 * 10,000 or 30,000.
Increasing Value:
As we move from right to left in a place value chart, the value of a digit increases by 10 times. This is because each digit's value is 10 times greater than the digit to its right.
For example, consider the number 345.67 again:
- The digit 5 is 10 times greater than the digit 4.
- The digit 4 is 10 times greater than the digit 3.
So, as we move from right to left, the value of each digit increases by a factor of 10.
Summary:
In a place value chart, the value of a digit changes as it moves from the right to the left. The value of a digit increases by 10 times as we go from right to left. This is a fundamental concept in our number system and helps us understand the relative values of digits in a number.
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How does the value of a digit change as it moves from the right to the left in a place value chart?a)Decreases by 10 times.b)Decreases by 1/10times.c)Increases by 10 times.d)Increases by 1/10times.Correct answer is option 'C'. Can you explain this answer?
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