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Math

QuestionCalculate and report using significant figures: 29.7×0.329.7 \times 0.3

Studdy Solution

STEP 1

Assumptions1. We are multiplying two numbers29.7 and0.3. We are using the rules of significant figures (sig figs) in our calculation.

STEP 2

First, we need to perform the multiplication operation.
Product=29.7times0.Product =29.7 \\times0.

STEP 3

Calculate the product.
Product=29.7times0.3=8.91Product =29.7 \\times0.3 =8.91

STEP 4

Now, we need to apply the rules of significant figures. When multiplying or dividing, the number of significant figures in the result should be equal to the number in the least precise measurement (the measurement with the least number of significant figures).

STEP 5

Count the number of significant figures in each of the original numbers.The number29.7 has three significant figures and the number0.3 has one significant figure.

STEP 6

Since0.3 has the least number of significant figures (1), our final answer should also have one significant figure.

STEP 7

Round off the product to one significant figure.
Product=9Product =9The product of29.7 and0.3, reported with the correct number of significant figures, is9.

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