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djverab [1.8K]
1 year ago
15

Perform the calculation then

Mathematics
2 answers:
Andru [333]1 year ago
5 0

Answer:

416 (3 s.f.)

Step-by-step explanation:

To multiply decimals, begin by multiplying the numbers as if there is <u>no decimal</u>:

\large\begin{array}{cccccc}&& 1 & 2 & 8 & 5\\\times && & 3 &2 & 4\\\cline{1-6} && 5 & 1 & 4 & 0\\&2&5&7&0&0\\3&8&5&5&0&0\\\cline{1-6}4&1&6&3&4&0\\\cline{1-6}^1&^1&^1&&\phantom{^{\frac{1}{2}}}&\end{array}

Count the number of digits <u>after</u> the decimal point in each factor:

  • 128.5 → 1 digit after the decimal point.
  • 3.24 → 2 digits after the decimal point.

Therefore, there is a total of 3 digits after the decimal points.

Put the same number of digits after the decimal point in the product.

Therefore, the solution is to the multiplication is:

  • 416.340

The factor with the <u>fewest signification figures</u> is 3.24.

This number has 3 significant figures.

Therefore, the solution to 3 significant figures is:

  • 416 (3 s.f.)
Sladkaya [172]1 year ago
3 0

Answer: 416.34

Step-by-step explanation:

128.5

⋅

3.24

Multiply using long multiplication.

128.5×3.24

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of

3

, so the answer must have

3

decimal places as well.

416.34

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<em>Sum:</em>

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<em></em>

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