Sure! Here is the step-by-step solution for converting each of the given percentages into decimals.
### Steps to Convert Percentage to Decimal:
1. Understand the Definition: Percent means "per hundred," so converting a percentage to a decimal involves dividing it by 100.
2. Perform the Division: Divide the percentage value by 100 to get the corresponding decimal value.
Let's apply these steps to each percentage.
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### (a) Convert [tex]$7 \%$[/tex] to a decimal
Step 1: Start with the percentage value: [tex]$7 \%$[/tex]
Step 2: Divide by 100:
[tex]\[ 7 \% = \frac{7}{100} \][/tex]
Step 3: Perform the division:
[tex]\[ \frac{7}{100} = 0.07 \][/tex]
Therefore, [tex]$7 \%$[/tex] as a decimal is [tex]\(0.07\)[/tex].
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### (b) Convert [tex]$98 \%$[/tex] to a decimal
Step 1: Start with the percentage value: [tex]$98 \%$[/tex]
Step 2: Divide by 100:
[tex]\[ 98 \% = \frac{98}{100} \][/tex]
Step 3: Perform the division:
[tex]\[ \frac{98}{100} = 0.98 \][/tex]
Therefore, [tex]$98 \%$[/tex] as a decimal is [tex]\(0.98\)[/tex].
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### (c) Convert [tex]$15 \%$[/tex] to a decimal
Step 1: Start with the percentage value: [tex]$15 \%$[/tex]
Step 2: Divide by 100:
[tex]\[ 15 \% = \frac{15}{100} \][/tex]
Step 3: Perform the division:
[tex]\[ \frac{15}{100} = 0.15 \][/tex]
Therefore, [tex]$15 \%$[/tex] as a decimal is [tex]\(0.15\)[/tex].
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### Summary:
- [tex]\( 7 \% = 0.07 \)[/tex]
- [tex]\( 98 \% = 0.98 \)[/tex]
- [tex]\( 15 \% = 0.15 \)[/tex]
So, the conversions are:
- [tex]\(7 \% \)[/tex] becomes [tex]\(0.07\)[/tex]
- [tex]\(98 \% \)[/tex] becomes [tex]\(0.98\)[/tex]
- [tex]\(15 \% \)[/tex] becomes [tex]\(0.15\)[/tex]
