Question

Estimate the following product 898 $\times$ 785.

Answer 1

Hint: In this question, we need to round the numbers to some close numbers that you can easily multiply. One method of estimation is to round all factors to the biggest digit (place value) they have.

Complete step-by-step answer:
To estimate the product of multiplication, we need to round the numbers to some close numbers.
We round numbers; 898 to 900 and 785 to 800.
Now we can easily multiply 900 $\times$ 800 = 720000

So, the estimated product is 720000.

Note: While estimating the product you need to keep few things in mind. When you are rounding the value, we should round to the nearest 10. Example: 38 rounded to the nearest ten that is 40. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten that is 30. Numbers can be rounded to the nearest ten, nearest hundred, nearest thousand, and so on. Consider the number 4,827: 4,827 rounded to the nearest ten that is 4,830; 4,827 rounded to the nearest hundred is 4,800; 4,827 rounded to the nearest thousand is 5,000. Rounding fractions works exactly in the same way as rounding whole numbers. Example: 7.8199 rounded to the nearest tenth 7.8; 1.0621 rounded to nearest hundredth that is 1.06; 3.8792 rounded to the nearest thousandth that is 3.879. Don’t get confused while rounding long decimals.