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1. First estimate and then do the for a) \( (453942+275931)-317908 \) b) \( (1580342+1385211)-488011 \) c) \( 30689755-(10221007+199676) \) d) \( 902879355-(302345757+122288533) \) 2. Work out the answers to the following calculations: a) \( (154899+176807)-(109344+89003) \) b) \( (340376933-280175698)+(301438544-110237843) \) c) \( (7543128-3241352)-(2123473-0) \)

Ask by Love Savage. in South Africa
Feb 24,2025

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Answer

1. **Estimation and Exact Results:** - a) 411,965 - b) 2,477,542 - c) 20,269,072 - d) 478,245,065 2. **Precise Calculations:** - a) 133,359 - b) 251,401,936 - c) 2,178,303

Solution

Below are the step‐by‐step workings for both the estimation (with final exact answers) and the precise calculations. ────────────────────────────── 1. Estimation and then exact calculation a) (453942 + 275931) – 317908  • Estimate:   – 453942 ≈ 454000   – 275931 ≈ 276000   – Sum ≈ 454000 + 276000 = 730000   – 317908 ≈ 318000   – Estimated answer ≈ 730000 – 318000 = 412000  • Exact Calculation:   1. Sum inside the bracket: 453942 + 275931 = 729873   2. Then subtract: 729873 – 317908 = 411965 b) (1580342 + 1385211) – 488011  • Estimate:   – 1580342 ≈ 1580000   – 1385211 ≈ 1385000   – Sum ≈ 1580000 + 1385000 = 2965000   – 488011 ≈ 488000   – Estimated answer ≈ 2965000 – 488000 = 2477000  • Exact Calculation:   1. Sum: 1580342 + 1385211 = 2965553   2. Subtract: 2965553 – 488011 = 2477542 c) 30689755 – (10221007 + 199676)  • Estimate:   – 10221007 ≈ 10221000   – 199676 ≈ 200000   – Sum inside parentheses ≈ 10221000 + 200000 = 10421000   – 30689755 – 10421000 ≈ 20268755 (about 20269000)  • Exact Calculation:   1. First compute: 10221007 + 199676 = 10420683   2. Then subtract: 30689755 – 10420683 = 20269072 d) 902879355 – (302345757 + 122288533)  • Estimate:   – 302345757 ≈ 302350000   – 122288533 ≈ 122290000   – Sum ≈ 302350000 + 122290000 = 424640000   – 902879355 – 424640000 ≈ 478239355 (about 478245000)  • Exact Calculation:   1. Sum: 302345757 + 122288533 = 424634290   2. Then subtract: 902879355 – 424634290 = 478245065 ────────────────────────────── 2. Precise Calculations a) (154899 + 176807) – (109344 + 89003)  1. First calculate the sums in the parentheses:   – 154899 + 176807 = 331706   – 109344 + 89003 = 198347  2. Then subtract:   331706 – 198347 = 133359 b) (340376933 – 280175698) + (301438544 – 110237843)  1. Compute each difference separately:   – 340376933 – 280175698 = 60201235   – 301438544 – 110237843 = 191200701  2. Then add the results:   60201235 + 191200701 = 251401936 c) (7543128 – 3241352) – (2123473 – 0)  1. First difference:   – 7543128 – 3241352 = 4301776  2. Then subtract the second term:   – (2123473 – 0) = 2123473   – So, 4301776 – 2123473 = 2178303 ────────────────────────────── Final Answers: 1. Estimation and Exact Results:  a) 411965     b) 2477542  c) 20269072    d) 478245065 2. Precise Calculations:  a) 133359     b) 251401936    c) 2178303 These are the complete solutions for the given problems.

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Sure! Let's tackle these calculations in a fun and engaging way. First Line: To estimate the results, round the numbers to make addition and subtraction simpler. For example, round \( 453942 \) to \( 454000 \) and \( 275931 \) to \( 276000 \) for part (a). This gives you an estimated sum of \( 730000 \), and after subtracting \( 317908 \), you’d have approximately \( 412092 \). Repeat this for the other calculations! Second Line: Now, for the actual calculations! Let’s dive in! a) \( (154899 + 176807) - (109344 + 89003) = 331706 - 198347 = 133359 \). b) \( (340376933 - 280175698) + (301438544 - 110237843) = 60201235 + 191200701 = 251401936 \). c) \( (7543128 - 3241352) - (2123473 - 0) = 4301776 - 2123473 = 2178303 \). Feel free to double-check these results and bask in the glow of your math skills!

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