Write 4008 in expanded form using powers of 10. Explain for a grade 5 learner.

Welcome back Dimakatso — missed you this week. Here's the solution to Question 1.1: a) The learner writes 4008 as "four thousand and eight". Step 1: Analyze the number 4008. The number 4008 has a 4 in the thousands place, 0 in the hundreds place, 0 in the tens place, and 8 in the units place. Step 2: Compare with the learner's statement. "Four thousand and eight" correctly represents the value of 4008. The answer by the learner is ✅ Correct. The number 4008 is read as "four thousand and eight" because the zeros in the hundreds and tens places indicate no value in those positions, so they are not explicitly named when reading the number. b) Write 4008 in expanded form using powers of 10. Step 1: Identify the place value of each digit. In 4008, the digit 4 is in the thousands place (10^3), the first 0 is in the hundreds place (10^2), the second 0 is in the tens place (10^1), and the digit 8 is in the units place (10^0). Step 2: Write each digit multiplied by its corresponding power of 10. 4008 = (4 × 10^3) + (0 × 10^2) + (0 × 10^1) + (8 × 10^0) Step 3: Simplify the terms with zero. Since 0 × 10^2 = 0 and 0 × 10^1 = 0, these terms can be omitted when explaining to a grade 5 learner. Expanded form: (4 × 10^3) + (8 × 10^0) Explanation for a grade 5 learner: We break the number into its parts. The 4 is in the thousands place, so it's 4 × 1000 (which is 4 × 10^3). The 8 is in the ones place, so it's 8 × 1 (which is 8 × 10^0). The zeros mean there are no hundreds or tens. c) Explain what the two zeros represent in 4008. The two zeros in 4008 are placeholders. The first zero (from the left) shows there are no hundreds, and the second zero shows there are no tens. They are important because they keep the 4 in the thousands place and the 8 in the units place, giving the number its correct value. d) If you remove both zeros from 4008, what number do you get? Explain the effect on the value. Step 1: Remove the zeros. Removing both zeros from 4008 leaves the digits 4 and 8. Step 2: Form the new number. The new number formed is 48. Step 3: Explain the effect on the value. The original number was 4008. The new number is 48. Removing the zeros makes the number much smaller because the 4 moves from the thousands place to the tens place, and the 8 moves from the units place to the units place, but its value is now relative to the 4 in the tens place. The value changed from four thousand and eight to forty-eight. The new number is 48. The effect is that the value of the number becomes significantly smaller. The digit 4, which was in the thousands place, moves to the tens place, reducing its value from 4000 to 40. Send me the next one 📸