Table of Contents

## Why is estimating the product of decimals useful?

Estimation with Decimals. Being able to estimate your answer is a very useful skill. Not only will it help you decide if your answer is reasonable when doing homework problems or answering test questions, it can prove to be very helpful in everyday life.

## Where may estimation decimals be useful in everyday life?

We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.

**What is product decimal?**

The product of a decimal and a whole number multiplied in any order remains the same. For Example: (i) 0.9 × 12 = 12 × 0.9 = 10.8. (ii) 1.1 × 30 = 30 × 1.1 = 33.0.

### What does the decimal point represent?

Commonly speaking we talk about decimals when numbers include a decimal point to represent a whole number plus a fraction of a whole number (tenths, hundredths, etc.). A decimal point is a point or dot used to separate the whole part of a number from the fractional part of a number.

### How do you estimate decimals products and quotients?

To estimate products and quotients with decimals, you need to first round the numbers so that they are easier to work with. To round to the nearest whole number, look at the digit in the tenths place. If it is less than 5, round down. If it is 5 or greater, round up.

**What’s the correct answer for estimating decimal products?**

The actual answer is $100.75, so both estimates are reasonable. However, for this problem, the second strategy was easier to use. There are other estimation strategies we can use. The compatible numbers strategy makes it easy to do mental arithmetic.

## Which is the best way to estimate a product?

Round one factor up and one factor down to estimate the product. Use compatible numbers to estimate the product. Round both factors down and then both factors up to find a range for the product. In Examples 4 though 6, we will analyze each problem to determine which of these estimation strategies is easiest to use.

## How to estimate the product of 65.3 and 44.8?

Strategy: Round one factor up and one factor down to estimate the product. Answer: The estimated product of 65.3 and 44.8 is 2,800. When we round one factor up and one factor down, we round to the tens place. (If we rounded to the ones place, that would give us 65 x 45, and these numbers are not easy to multiply.)

**Which is an example of estimating with compatible numbers?**

When estimating with compatible numbers, you generally choose numbers that you can work with mentally. Example 2: Estimate the product: 46.5 x 2.4. Analysis: If we round each decimal factor to the nearest one, we would get 47 x 2. The factor 46.5 is close to 50 and the factor 2.4 is close to 2.