Questions: Write the following number in standard form. (3 × 100)+(4 × 10)+5 × 1)+(8 × 0.1) +(4 × 0.01)=

Write the following number in standard form.
(3 × 100)+(4 × 10)+5 × 1)+(8 × 0.1)
+(4 × 0.01)=
Transcript text: Write the following number in standard form. \[ \begin{array}{l} (3 \times 100)+(4 \times 10)+5 \times 1)+(8 \times 0.1) \\ +(4 \times 0.01)= \end{array} \]
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Solution

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Solution Steps

Step 1: Expand the Expression

The given expression is:

(3×100)+(4×10)+(5×1)+(8×0.1)+(4×0.01) (3 \times 100) + (4 \times 10) + (5 \times 1) + (8 \times 0.1) + (4 \times 0.01)

Step 2: Calculate Each Term

Calculate each term separately:

  • 3×100=3003 \times 100 = 300
  • 4×10=404 \times 10 = 40
  • 5×1=55 \times 1 = 5
  • 8×0.1=0.88 \times 0.1 = 0.8
  • 4×0.01=0.044 \times 0.01 = 0.04
Step 3: Sum the Terms

Add all the calculated terms together:

300+40+5+0.8+0.04=345.84 300 + 40 + 5 + 0.8 + 0.04 = 345.84

Final Answer

The number in standard form is 345.84\boxed{345.84}.

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