High School

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Put these numbers in order from greatest to least.

[tex]\[
\frac{36}{40}, \quad -0.6, \quad 1 \frac{32}{40}, \quad -1
\][/tex]

Answer :

To arrange the numbers from greatest to least, you need to compare their values. Let's go through each number and understand their values:

1. Fraction/Decimal Conversion:
- [tex]\(\frac{36}{40}\)[/tex]: To convert this fraction to a decimal, divide 36 by 40 to get [tex]\(0.9\)[/tex].
- [tex]\(-0.6\)[/tex]: This is already in decimal form.
- [tex]\(1 \frac{32}{40}\)[/tex]: This is a mixed number. Convert [tex]\(\frac{32}{40}\)[/tex] to a decimal first by dividing 32 by 40 to get [tex]\(0.8\)[/tex]. Add this to 1 to get [tex]\(1.8\)[/tex].
- [tex]\(-1\)[/tex]: This is already a whole number.

2. Comparing the Values:
- 1.8
- 0.9
- -0.6
- -1

3. Ordering from Greatest to Least:
- 1.8 (the highest value)
- 0.9
- -0.6
- -1 (the lowest value)

So, when these numbers are ordered from greatest to least, the sequence is:
[tex]\[ 1 \frac{32}{40}, \frac{36}{40}, -0.6, -1 \][/tex]

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