https://file.aiquickdraw.com/mathbot/file/1726497112439nbqwwfcc.jpg

Let's break down each part of the problem step-by-step:

### (a) By rounding each number to 1 significant figure, estimate the answer to \(153 + 579\).

- **153 rounded to 1 significant figure**: 150 (as 153 is closer to 150 than 100).
- **579 rounded to 1 significant figure**: 600 (as 579 is closer to 600 than 500).

**Estimate:**  
\( 150 + 600 = 750 \)

### (b) Using the column method, work out the actual answer to the calculation \(153 + 579\).

Performing the addition step by step:
\[
\begin{array}{c@{}c@{}c@{}c}
 & 1 & 5 & 3 \\
+ & 5 & 7 & 9 \\
\hline
 & 7 & 3 & 2 \\
\end{array}
\]

**Actual answer:**  
\(153 + 579 = 732\)

### (c) Write a sentence to explain whether your answer looks sensible compared to your estimate.

The estimate of 750 is close to the actual result of 732. This makes sense because rounding each number to 1 significant figure gives a rough approximation, and the actual sum is just slightly less than the estimate, which is reasonable given that the rounding made one number slightly higher and the other slightly lower.

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Do you have any questions or need further explanation? Here are some related questions to deepen your understanding:

1. How do you round numbers to 2 significant figures, and what would the result be in this case?
2. How does rounding to different significant figures affect the accuracy of an estimate?
3. What is the difference between estimating by rounding and calculating the exact value?
4. Can you explain how the column method works in more detail for subtraction or multiplication?
5. How would the estimated answer change if both numbers were rounded to the nearest 10 instead of 1 significant figure?

**Tip:** Rounding to a larger significant figure (like 1 significant figure) is great for quick estimates, but the more digits you keep, the more precise your approximation becomes.

By rounding each number to 1 significant figure, estimate the answer to 153 + 579. Using the column method, work out the actual answer to the calculation. Write a sentence to explain whether your answer looks sensible compared to your estimate.

Learn how to estimate the sum of 153 and 579 by rounding to one significant figure and using the column method for exact addition. Suitable for students in Grade 5-7, this problem teaches key skills in rounding and estimation.

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