Decimal Point Movement: Positioning 7 as Tenths Digit in 1.672

Place Value Understanding with Decimal Movement

Move the decimal point in the number 1.672 in order that 7 becomes the tenths digit.

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Step-by-step written solution

Follow each step carefully to understand the complete solution
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Understand the problem

Move the decimal point in the number 1.672 in order that 7 becomes the tenths digit.

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Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Understand the given number 1.672.
  • Step 2: Recognize the current position of the digit 7 as the hundredths place.
  • Step 3: Move the decimal point one position to the right.
  • Step 4: Verify that the digit 7 now occupies the tenths place.

Now, let's work through each step:
Step 1: The given number is 1.672 1.672 , with digits positioned as follows - 1 in the units place, 6 in the tenths place, 7 in the hundredths place, and 2 in the thousandths place.
Step 2: We need 7 to be in the tenths place, so we need to shift our understanding of the number.
Step 3: By moving the decimal point one place to the right, the number becomes 16.72 16.72 .
Step 4: In 16.72 16.72 , digit 7 is now correctly positioned in the tenths place, preceded by the digit 6 in the units place.

Therefore, the number after moving the decimal point so that 7 becomes the tenths digit is 16.72 \boxed{16.72} .

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Final Answer

16.72

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Moving decimal right makes number larger by powers of ten
  • Technique: From 1.672 to 16.72, decimal moves one position right
  • Check: In 16.72, digit 7 occupies tenths place correctly ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal the wrong direction
    Don't move decimal left thinking it will put 7 in tenths = gives 0.1672 where 7 is in ten-thousandths! Moving left makes numbers smaller, not repositioning digits forward. Always move decimal right to advance digit positions toward the decimal point.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

How do I remember which way to move the decimal?

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Think of it like a number line! Moving the decimal point right makes the number bigger and moves digits to higher place values (closer to the decimal point).

What if I move the decimal too many places?

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Count carefully! In 1.672, the 7 is in hundredths. To get it to tenths, move decimal exactly one place right to get 16.72.

Why can't 167.2 be the answer?

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In 167.2, the digit 7 is in the units place, not tenths! The tenths place is the first position after the decimal point, where 2 currently sits.

How do I identify place values after moving the decimal?

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Start from the decimal point and count: first position right = tenths, second = hundredths, third = thousandths. In 16.72, the 7 is first after decimal = tenths.

What happens to zeros when I move the decimal?

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Zeros at the end can be dropped (like 1672.0 becomes 1672), but zeros in the middle stay put. They're important for maintaining proper place values!

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