Math

QuestionRound 400,000 to three significant figures, using scientific notation if needed.

Studdy Solution

STEP 1

Assumptions1. The number to be reported is400,000. We need to report this number to three significant figures3. We can use scientific notation if necessary

STEP 2

To report a number to three significant figures, we keep the first three non-zero digits from the left and replace the rest with zeros.

STEP 3

Identify the first three non-zero digits in the number400,000.
400,000=,0,0400,000 =,0,0

STEP 4

Replace all other digits with zeros.
400,000=400,000400,000 =400,000

STEP 5

Now, we have the number400,000 reported to three significant figures. However, it's not in scientific notation. We can convert it to scientific notation by moving the decimal point.

STEP 6

Move the decimal point5 places to the left to convert the number to scientific notation.
400,000=4.00times105400,000 =4.00 \\times10^5The number400,000 reported to three significant figures in scientific notation is 4.00×1054.00 \times10^5.

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