QUESTION IMAGE
Question
- what kind of angle measures less than 90 degrees? draw one. 14. order these decimals from least to greatest: 6.41 6.4 6.04 6.341 16. write nine and five thousandths in standard form.
Question 12
Brief Explanations
An angle less than 90 degrees is defined as an acute angle.
Step1: Compare the integer parts
All decimals have an integer part of 6.
Step2: Compare the tenths place
- For \(6.04\), the tenths place is \(0\).
- For \(6.341\), the tenths place is \(3\).
- For \(6.4\) (which is \(6.400\)) and \(6.41\), the tenths place is \(4\).
Since \(0<3 < 4\), \(6.04\) is the smallest.
Step3: Compare \(6.4\) and \(6.41\)
\(6.4 = 6.400\) and \(6.41\). Comparing the hundredths place (\(0<1\)), so \(6.4<6.41\)
Step1: Analyze the whole - number part
The whole - number part is \(9\).
Step2: Analyze the decimal part
Five thousandths is written as \(0.005\) (since \(5\times\frac{1}{1000}=0.005\))
Step3: Combine the whole - number and decimal parts
\(9 + 0.005=9.005\)
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Acute angle.