Chapter 1: Q66. (page 24)

Estimation Estimate the sum or difference by rounding each number to the place of its leading digit. (p. 747)
$278 + 119 + 602$ .

Short Answer

Expert verified

The sum is about1000.

Step by step solution

Step-1 – Concept of leading digit

The leading digit is the first digit in any number. Rounding to the place of leading digit means rounding off the number to the nearest place value of the leading digit.

For example, in the number 2345 the leading digit is in thousand place, so we round it to the nearest thousand. Since the digit next to leading digit is less than 5, so it will get rounded to 2000.

Step-2 – Rounding of the numbers

In the given sum, observe that each number has three digits.

So, the leading digit is in the hundredth place. So, we’ll round each number to the nearest hundred and then estimate the sum.

Step-3 – Estimate the sum

To estimate the sum, round each number to nearest hundredth and then add them to get

$\begin{array}{l} 278 + 119 + 602 \approx 300 + 100 + 600 \\ = 400 + 600 \\ = 1000 \end{array}$

Thus, the sum is about $1000$ .

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Estimation Estimate the sum or difference by rounding each number to the place of its leading digit. (p. 747)
$278 + 119 + 602$ .

Short Answer

Step by step solution

Step-1 – Concept of leading digit

Step-2 – Rounding of the numbers

Step-3 – Estimate the sum

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Estimation Estimate the sum or difference by rounding each number to the place of its leading digit. (p. 747)278+119+602.

Short Answer

Step by step solution

Step-1 – Concept of leading digit

Step-2 – Rounding of the numbers

Step-3 – Estimate the sum

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Discrete Mathematics

Mechanics Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Estimation Estimate the sum or difference by rounding each number to the place of its leading digit. (p. 747)
$278 + 119 + 602$ .