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(a) Write [tex]4.59\%[/tex] as a decimal.

(b) Write 0.056 as a percentage.

(a) [tex]4.59\%[/tex] = 0.0459

(b) [tex]0.056 = 5.6\%[/tex]


Sagot :

Of course, let's break down each part of the question step by step.

### Part (a): Write 4.59% as a decimal.

1. Understand what the percentage symbol (%) means:
- The percentage symbol denotes a fraction out of 100.
- Therefore, when we have a certain percentage, we divide that number by 100 to convert it to a decimal.

2. Calculation:
- Take the number 4.59 and divide it by 100.

3. Perform the division:
- [tex]\( 4.59 \div 100 = 0.0459 \)[/tex]

So, [tex]\( 4.59\% \)[/tex] as a decimal is [tex]\( 0.0459 \)[/tex].

### Part (b): Write 0.056 as a percentage.

1. Understand what converting a decimal to a percentage involves:
- To convert a decimal to a percentage, multiply the decimal by 100.

2. Calculation:
- Take the number 0.056 and multiply it by 100.

3. Perform the multiplication:
- [tex]\( 0.056 \times 100 = 5.6 \)[/tex]

So, [tex]\( 0.056 \)[/tex] as a percentage is [tex]\( 5.6\% \)[/tex].

### Summary of Answers:

- Part (a): [tex]\( 4.59\% = 0.0459 \)[/tex]
- Part (b): [tex]\( 0.056 = 5.6\% \)[/tex]

The provided answer [tex]\( (0.0459, 5.6) \)[/tex] for parts (a) and (b) respectively, indicates that your understanding matches the results correctly.