Decimal Place Value Chart: Representing 106.8 Correctly

Q: How do I know which column each digit goes in?

Start with the decimal point as your reference! The digit immediately to the left is ones, then tens, then hundreds. The digit immediately to the right is tenths, then hundredths.

Q: What's the difference between tenths and hundredths?

The first position after the decimal point is tenths (like 0.8). The second position is hundredths (like 0.08). Think of it like counting: first place, second place!

Q: Why does 106.8 have a zero in the tens place?

Because there are no tens in this number! We have 1 hundred and 6 ones, but zero tens. The zero is important - it holds the place so other digits stay in their correct positions.

Q: Can I check my answer by adding up the place values?

Absolutely! Break it down: $ 1 \times 100 + 0 \times 10 + 6 \times 1 + 8 \times 0.1 = 100 + 0 + 6 + 0.8 = 106.8 $

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Break down into decimal structure table

00:04 For the given number, place the digits in their appropriate positions

00:16 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Identify which decimal place value chart represents the number 106.8?

2

Step-by-step solution

To correctly solve the problem, we will break down the number 106.8 according to its decimal place values.

The number 1 is in the hundreds place, representing 100.
The number 0 is in the tens place, representing 0.
The number 6 is in the ones place, representing 6.
The number 8 is in the tenths place, representing 0.8.

Given this breakdown, we look to match the digits on the place value chart

In the correct chart:

The chart will have a '1' under the '100' column, indicating one hundred.
The chart will have a '0' under the '10' column, indicating no tens.
The chart will have a '6' under the '1' column, indicating six ones.
The chart will have an '8' under the '0.1' column, showing eight-tenths.

Upon analyzing the available choices, the correct decimal place value chart that represents the number 106.8 is:

The choice with 1 under '100', 0 under '10', 6 under '1', and 8 under '0.1' correctly represents the number 106.8 as a decimal. According to the given choices, this is Choice 2.

3

Final Answer

Key Points to Remember

Essential concepts to master this topic

Structure: Each column represents a specific place value position
Decimal Point: Separates whole numbers from decimal parts like 106.8
Verification: Read left to right: 1 hundred + 0 tens + 6 ones + 8 tenths = 106.8 ✓

Common Mistakes

Avoid these frequent errors

Placing decimal digits in wrong columns
Don't put the 8 from 106.8 in the hundredths place instead of tenths = changes value to 106.08! The first digit after the decimal point is always tenths, not hundredths. Always identify the decimal point first, then count positions carefully.

Practice Quiz

Test your knowledge with interactive questions

Which figure represents 0.1?

FAQ

Everything you need to know about this question

How do I know which column each digit goes in?

+

Start with the decimal point as your reference! The digit immediately to the left is ones, then tens, then hundreds. The digit immediately to the right is tenths, then hundredths.

What's the difference between tenths and hundredths?

+

The first position after the decimal point is tenths (like 0.8). The second position is hundredths (like 0.08). Think of it like counting: first place, second place!

Why does 106.8 have a zero in the tens place?

+

Because there are no tens in this number! We have 1 hundred and 6 ones, but zero tens. The zero is important - it holds the place so other digits stay in their correct positions.

Can I check my answer by adding up the place values?

+

Absolutely! Break it down: $1 \times 100 + 0 \times 10 + 6 \times 1 + 8 \times 0.1 = 100 + 0 + 6 + 0.8 = 106.8$

What if there are more decimal places?

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Just keep counting to the right! After tenths comes hundredths, then thousandths, then ten-thousandths. Each position is ten times smaller than the one before it.

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Decimal Place Value Chart: Representing 106.8 Correctly

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