How to Find the Difference between Two Numbers. To find the difference between two numbers, **subtract the number with the smallest value from the number with the largest value**. The product of this sum is the difference between the two numbers. Therefore the difference between 45 and 100 is 55.

In order to estimate products, we **round the given factors to the required place value**. Estimating products help us to check the reasonableness of an answer. To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

While subtracting the numbers, two possible approaches are used. One is to get the actual difference and the other is the estimated difference. If the exact difference is obtained, then it is called the actual difference. The estimated difference means **the difference is obtained from the rounding off the given numbers**.

**Rough estimate can be done by rounding off to nearest hundreds.** **Whereas closer estimates can be done by rounding off to nearest tens**. .

Students learn to estimate the sum or difference of two decimals by **first rounding each decimal to the nearest whole number, then adding or subtracting**. For example, to estimate the sum of 4.94 and 2.185, round 4.94 up to 5, and round 2.185 down to 2, to get 5 + 2, which equals 7.

How to Find the Difference between Two Numbers. To find the difference between two numbers, **subtract the number with the smallest value from the number with the largest value**. The product of this sum is the difference between the two numbers. Therefore the difference between 45 and 100 is 55.

Hence the estimated difference of 4567 and 2156 is **2000**.

Answer. the estimated value is **1600** .

three things can happen: **If we've rounded one amount up and one down, the sum we have obtained is a correct estimation**. If both summands have been rounded up and the amount of rounding is greater than 5, we subtract 10 from the estimate.

**Estimating sums and differences of fractions to the nearest 1/4**

- Fractions < 1/8 are rounded down to 0.
- Fractions ≥ 1/8 and < 3/8 are rounded to 2/8=1/4.
- Fractions ≥ 3/8 and < 5/8 are rounded to 4/8=2/4=1/2.
- Fractions ≥ 5/8 and < 7/8 are rounded to 6/8=3/4.
- Fractions ≥ 7/8 are rounded up to 8/8=1.

Estimating Difference:

To estimate the difference, we **round-off each number to the nearest tens and then subtract the rounded-off numbers**. Let us estimate 48 - 22. 48 is nearer to 50 than 40. So, 48 is rounded up to 50. The number 22 is nearer to 20 than 30.

**Round the fraction portions of the mixed fractions to the nearest whole number**. For example, if your mixed fractions are 3 3/4 x 2 2/5, round 3/4 up to one and round 2/5 down to zero. Add the rounded fractions to the whole numbers of each mixed fraction.

To estimate the sum we **round-off each number to the nearest tens and then add the rounded-off numbers**. Let us estimate 38 + 23. 38 is nearer to 40 than 30. So, 38 is rounded up to 40.

Estimation **helps to answer the question easily and quickly**. In the case of two-digit numbers, we can round or estimate it to the number nearest tens place that is only one place can be estimated.

The general rule for estimating is to **look at the digit to the right of the digit you want to estimate**. Estimating or rounding to the nearest whole number means looking at the digit to the right of the decimal. If you see a digit greater than 5, round up, and if it's less than 5, round down.

Estimating the difference of fractions and mixed numbers is similar to estimating sums. **Round each fraction or mixed number and then subtract to find the estimate**.

The point estimate for the difference between the two population proportions, p 1 − p 2 , is **the difference between the two sample proportions written as p ^ 1 − p ^ 2** .

How to estimate sums and differences of fractions and mixed numbers: **Round both numbers to the nearest whole number.** **Then add or subtract**. Example: Estimate 4i + 7~.

Dated : 24-Jun-2022

Category : Education