Write 0.416666667 correct to 3 significant figures. Express 12000 in Standard form.

Here are the solutions to questions 8, 9, and 10: 8. Write 0.416666667 correct to 3 significant figures. Step 1: Identify the first three significant figures. The first non-zero digit is 4, so it is the first significant figure. The second significant figure is 1. The third significant figure is 6. So, we are looking at 0.416. Step 2: Look at the digit immediately after the third significant figure. The digit after the third significant figure (6) is 6. Step 3: Round the third significant figure based on the next digit. Since the digit 6 (the fourth significant figure) is 5 or greater, we round up the third significant figure (6) by adding 1 to it. 6 + 1 = 7. Step 4: Write the number with 3 significant figures. The number becomes 0.417. The number 0.416666667 correct to 3 significant figures is 0.417. 9. Express 12000 in Standard form. Step 1: Move the decimal point to create a number between 1 and 10. The number 12000 has an implied decimal point at the end (12000.). To get a number between 1 and 10, we move the decimal point to after the first digit, 1. This gives us 1.2. Step 2: Count the number of places the decimal point was moved. The decimal point was moved 4 places to the left (from 12000. to 1.2). Step 3: Write the number in standard form. Since the decimal point was moved 4 places to the left, the exponent of 10 is positive 4. 12000 = 1.2 × 10^4 The number 12000 in standard form is 1.2 × 10^4. 10. Write 2.36 × 10^-3 as a decimal number (ordinary form). Step 1: Identify the exponent of 10. The exponent is -3. Step 2: Move the decimal point based on the exponent. A negative exponent means we move the decimal point to the left. The number of places to move is the absolute value of the exponent, which is 3. Starting with 2.36, move the decimal point 3 places to the left. 2.36 0.236 0.0236 0.00236 The decimal number (ordinary form) is 0.00236. That's 2 down. 3 left today — send the next one.