Estimate (by general rule) 1.3457 458 2.2534 3245 3.723 568 4.673 423 ...
**Estimating Decimals**
When estimating decimals, we round the numbers to a certain place value to make them easier to work with. The general rule is to look at the digit to the right of the desired place value and round up if it is 5 or greater, and round down if it is less than 5.
Let's estimate the given decimals using this general rule:
1. **1.3457** - We want to estimate to the nearest tenth. The digit to the right of the tenths place is 4, which is less than 5. So, we round down to 1.3.
2. **2.2534** - Again, we want to estimate to the nearest tenth. The digit to the right of the tenths place is 5, which is equal to 5. According to the rule, we round up, so the estimate is 2.3.
3. **3.723** - Estimating to the nearest whole number, the digit to the right of the ones place is 7, which is equal to 5. We round up, so the estimate is 4.
4. **4.673** - We want to estimate to the nearest whole number. The digit to the right of the ones place is 3, which is less than 5. We round down, so the estimate is 4.
5. **5.5783** - Estimating to the nearest whole number, the digit to the right of the ones place is 8, which is greater than 5. We round up, so the estimate is 6.
6. **6.3678** - Estimating to the nearest whole number, the digit to the right of the ones place is 7, which is greater than 5. We round up, so the estimate is 7.
7. **7.3478** - Estimating to the nearest whole number, the digit to the right of the ones place is 4, which is less than 5. We round down, so the estimate is 7.
8. **8.568** - We want to estimate to the nearest whole number. The digit to the right of the ones place is 6, which is greater than 5. We round up, so the estimate is 9.
9. **9.4568** - We want to estimate to the nearest whole number. The digit to the right of the ones place is 8, which is greater than 5. We round up, so the estimate is 10.
10. **10.5436** - Estimating to the nearest whole number, the digit to the right of the ones place is 7, which is greater than 5. We round up, so the estimate is 11.
In summary, the estimates for the given decimals are:
1.3457 ≈ 1.3
2.2534 ≈ 2.3
3.723 ≈ 4
4.673 ≈ 4
5.5783 ≈ 6
6.3678 ≈ 7
7.3478 ≈ 7
8.568 ≈ 9
9.4568 ≈ 10
10.5436 ≈ 11
Estimate (by general rule) 1.3457 458 2.2534 3245 3.723 568 4.673 423 ...
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