This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
0.417
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Question 8: Write 0.416 666 667 correct to 3 significant figures.
Step 1: Identify the first three significant figures. The first non-zero digit is 4, so the first three significant figures are 4, 1, 6.
Step 2: Look at the fourth significant figure to determine rounding. The fourth significant figure is 6. Since 6 is 5 or greater, round up the third significant figure.
Step 3: Round the number. Rounding 0.416 up at the third significant figure gives 0.417.
Question 9: Express 12 000 in Standard form.
Step 1: Move the decimal point to get a number between 1 and 10. The decimal point in 12 000 is after the last zero. Move it to the left until it is after the first non-zero digit (1). The number is .
Step 2: Count the number of places the decimal point moved. The decimal point moved 4 places to the left. This means the exponent for is .
Step 3: Write the number in standard form.
Question 10: Write as a decimal number (ordinary form).
Step 1: Identify the exponent of 10. The exponent is . This means the decimal point needs to move 3 places to the right.
Step 2: Move the decimal point. Start with . Move the decimal point 3 places to the right, adding zeros as placeholders.
Question 11: How many significant figures are in 10.659 22?
Step 1: Apply the rules for significant figures. • All non-zero digits (1, 6, 5, 9, 2, 2) are significant. • Zeros between non-zero digits (the 0 between 1 and 6) are significant.
Step 2: Count the significant figures. The digits are 1, 0, 6, 5, 9, 2, 2. All of these are significant. There are 7 significant figures. Send me the next one 📸
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Hey Ms — ready when you are. Question 8: Write 0.416 666 667 correct to 3 significant figures.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.