Number Line Analysis: Determining the Sign for 0.88 on [0,1] Interval

Q: Why does 0.88 look bigger than 1 if 88 is bigger than 1?

The decimal point position changes everything! In 0.88, the digits are in the tenths and hundredths places, making it less than one whole. Think of it as 88 pennies versus 1 dollar - the dollar is worth more!

Q: How can I tell where 0.88 goes on the number line?

Since 0.88 is between 0.5 (50 hundredths) and 1.0 (100 hundredths), it goes closer to 1 than to 0.5. Imagine the line divided into 100 parts - 0.88 would be at the 88th mark!

Q: What's the easiest way to compare decimals?

Write both numbers with the same number of decimal places: $ 0.88 $ vs $ 1.00 $. Now compare from left to right - since 0

Q: Does the number line always help with comparisons?

Yes! The number line is a visual tool that never lies. Numbers to the right are always greater than numbers to the left. It's especially helpful for decimals and fractions.

Q: What if I need to compare three or more decimals?

Use the same method! Align decimal places and compare from left to right, or place them all on a number line. The order from left to right shows smallest to largest.

Decimal Comparison with Number Line Reference

Determine the appropriate sign according to the number line:

$0.88?1$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Set the appropriate sign

00:07 We'll use the number line to find the 2 numbers

00:14 If the number is to the left of the second number then it's smaller, and to the right it's larger

00:18 We'll identify the location of our number in relation to the second number

00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Determine the appropriate sign according to the number line:

$0.88?1$

Step-by-step solution

Let's look at the number 1

We will write it as a decimal fraction in the following way:

$1=1.00$

Now let's consider the numbers and we'll see that since the number before the decimal point is 0 and the second number is 1, we can conclude that:

$0.88<1.00$

Final Answer

$<$

Key Points to Remember

Essential concepts to master this topic

Number Line Rule: Position determines value - right is greater than left
Decimal Technique: Compare 0.88 to 1.00 by aligning decimal places
Check: Locate 0.88 between 0.5 and 1 on the line ✓

Common Mistakes

Avoid these frequent errors

Comparing digits without considering place value
Don't compare 88 > 1 thinking 0.88 > 1! This ignores decimal place values completely. The 88 represents hundredths (0.88), while 1 represents ones (1.00). Always align decimal places: 0.88 < 1.00.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why does 0.88 look bigger than 1 if 88 is bigger than 1?

The decimal point position changes everything! In 0.88, the digits are in the tenths and hundredths places, making it less than one whole. Think of it as 88 pennies versus 1 dollar - the dollar is worth more!

How can I tell where 0.88 goes on the number line?

Since 0.88 is between 0.5 (50 hundredths) and 1.0 (100 hundredths), it goes closer to 1 than to 0.5. Imagine the line divided into 100 parts - 0.88 would be at the 88th mark!

What's the easiest way to compare decimals?

Write both numbers with the same number of decimal places: $0.88$ vs $1.00$ . Now compare from left to right - since 0 < 1 in the ones place, 0.88 < 1.00!

Does the number line always help with comparisons?

Yes! The number line is a visual tool that never lies. Numbers to the right are always greater than numbers to the left. It's especially helpful for decimals and fractions.

What if I need to compare three or more decimals?

Use the same method! Align decimal places and compare from left to right, or place them all on a number line. The order from left to right shows smallest to largest.

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