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12. what kind of angle measures less than 90 degrees? draw one. 14. ord…

Question

  1. 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.

Explanation:

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

\(9 + 0.005=9.005\)

Answer:

Acute angle.

Question 14