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QuestionWhich symbol makes this statement true? 3.51 ? 3291003.51 \, ? \, 3 \frac{29}{100}

Studdy Solution

STEP 1

Assumptions1. We are comparing two decimal numbers3.51 and329/100. We need to determine if3.51 is greater than, less than, or equal to329/100

STEP 2

First, we need to convert the mixed number29/100 into a decimal number. We can do this by dividing the numerator by the denominator and adding the result to the whole number.
Decimal number=Whole number+umeratorDenominatorDecimal\, number = Whole\, number + \frac{umerator}{Denominator}

STEP 3

Now, plug in the given values for the whole number, numerator, and denominator to calculate the decimal number.
Decimal number=3+29100Decimal\, number =3 + \frac{29}{100}

STEP 4

Calculate the decimal number.
Decimal number=3+29100=3.29Decimal\, number =3 + \frac{29}{100} =3.29

STEP 5

Now that we have both numbers as decimals, we can compare them. If the first number is greater than the second number, we use the ">" sign. If the first number is less than the second number, we use the "<" sign. If the two numbers are equal, we use the "=" sign.

STEP 6

Compare the two decimal numbers.
3.51?3.293.51 ?3.29

STEP 7

Since3.51 is greater than3.29, we use the ">" sign.
3.51>3.293.51 >3.29So, the sign that makes the statement true is ">".

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