Question

s. show your work.

1. 81.8 x 0.889
2. 41.2 x 0.61
3. 97.8 x 4.6
4. 6.82 x 0.28
5. 5.76 x 8.7

Explanation:

Problem 16: \( 81.8 \times 0.889 \)

Step 1: Multiply as whole numbers

Treat \( 81.8 \) as \( 818 \) and \( 0.889 \) as \( 889 \). Multiply \( 818 \times 889 \).

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Step 2: Count decimal places

\( 81.8 \) has 1 decimal place, \( 0.889 \) has 3 decimal places. Total decimal places \( = 1 + 3=4 \).

Step 3: Place decimal in result

From \( 727202 \), move decimal 4 places left: \( 72.7202 \)

Step 1: Multiply as whole numbers

Treat \( 41.2 \) as \( 412 \) and \( 0.61 \) as \( 61 \). Multiply \( 412\times61 \).

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Step 2: Count decimal places

\( 41.2 \) has 1 decimal place, \( 0.61 \) has 2 decimal places. Total decimal places \( = 1+2 = 3 \).

Step 3: Place decimal in result

From \( 25132 \), move decimal 3 places left: \( 25.132 \)

Step 1: Multiply as whole numbers

Treat \( 97.8 \) as \( 978 \) and \( 4.6 \) as \( 46 \). Multiply \( 978\times46 \).

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Step 2: Count decimal places

\( 97.8 \) has 1 decimal place, \( 4.6 \) has 1 decimal place. Total decimal places \( = 1 + 1=2 \).

Step 3: Place decimal in result

From \( 44988 \), move decimal 2 places left: \( 449.88 \)

Answer:

\( 72.7202 \)

Problem 18: \( 41.2 \times 0.61 \)