Round 0.416666667 to 3 significant figures; Express 12000 in Standard form; Write 2.36 x 104 as a decimal number; How many significant figures are in 10.659 22.

You're on a roll — Step 1: Answer Question 8. Question 8 asks: "Write 0.416 666 667 correct to 3 significant figures." To round to 3 significant figures: 1. Identify the first non-zero digit, which is 4. 2. Count three digits from the first non-zero digit: 4, 1, 6. 3. Look at the digit immediately after the third significant figure (which is 6). The digit is 6. 4. Since 6 is 5 or greater, round up the third significant figure (6 becomes 7). 0.416666667 ≈ 0.417 0.417 Step 2: Answer Question 9. Question 9 asks: "Express 12 000 in Standard form." Standard form is written as a × 10^n, where 1 |a| < 10 and n is an integer. 1. Move the decimal point from the end of 12 000 to after the first non-zero digit (1). 12000. 1.2000 2. Count the number of places the decimal point was moved. It was moved 4 places to the left. 3. So, n = 4. 12000 = 1.2 × 10^4 1.2 × 10^4 Step 3: Answer Question 10. Question 10 asks: "Write 2.36 × 10^4 as a decimal number (ordinary form)." The exponent is 4, which means the decimal point moves 4 places to the right. 2.36 × 10^4 = 2.3600 × 10^4 = 23600 23600 Step 4: Answer Question 11. Question 11 asks: "How many significant figures are in 10.659 22." Rules for significant figures: • Non-zero digits are always significant. • Zeros between non-zero digits are significant. • Leading zeros (zeros before non-zero digits) are not significant. • Trailing zeros (zeros at the end of the number) are significant only if the number contains a decimal point. In the number 10.65922: • 1 is a non-zero digit, so it's significant. • 0 is between 1 and 6, so it's significant. • 6, 5, 9, 2, 2 are non-zero digits, so they are significant. Counting all significant digits: 1, 0, 6, 5, 9, 2, 2. There are 7 significant figures. 7 Send me the next one 📸