Rounding Arithmetic Operations: Nearest 10s, 100s, and 1000s

Math Problem Statement

Complete the following table: 12,345 - 3,999; 2,10,325 - 12,367; 36,345 - 20,999; 1,42,345 - 1,39,099; 1,56,780 + 28,956; 1,12,456 + 34,544; 88,678 + 73,452; 1,45,567 + 65,745, rounding to the nearest 10s, 100s, and 1000s.

Solution

It seems you want to complete a table related to rounding numbers to the nearest 10s, 100s, and 1000s. I'll go through each problem and round the results accordingly. Let's break down the problems:

a. $12,345 - 3,999 = 8,346$

To the nearest 10s: 8,350
To the nearest 100s: 8,300
To the nearest 1000s: 8,000

b. $2,10,325 - 12,367 = 1,97,958$

To the nearest 10s: 1,97,960
To the nearest 100s: 1,97,900
To the nearest 1000s: 1,98,000

c. $36,345 - 20,999 = 15,346$

To the nearest 10s: 15,350
To the nearest 100s: 15,300
To the nearest 1000s: 15,000

d. $1,42,345 - 1,39,099 = 3,246$

To the nearest 10s: 3,250
To the nearest 100s: 3,200
To the nearest 1000s: 3,000

e. $1,56,780 + 28,956 = 1,85,736$

To the nearest 10s: 1,85,740
To the nearest 100s: 1,85,700
To the nearest 1000s: 1,86,000

f. $1,12,456 + 34,544 = 1,47,000$

To the nearest 10s: 1,47,000
To the nearest 100s: 1,47,000
To the nearest 1000s: 1,47,000

g. $88,678 + 73,452 = 1,62,130$

To the nearest 10s: 1,62,130
To the nearest 100s: 1,62,100
To the nearest 1000s: 1,62,000

h. $1,45,567 + 65,745 = 2,11,312$

To the nearest 10s: 2,11,310
To the nearest 100s: 2,11,300
To the nearest 1000s: 2,11,000

Let me know if you need any further clarification or have any additional questions!

How do rounding rules differ when rounding large numbers vs. smaller numbers?
What are some common uses of rounding in everyday life?
How do you decide when to round up or round down in a specific context?
Why do we round numbers to the nearest ten, hundred, or thousand?
What is the effect of rounding numbers on calculations in various fields like finance or engineering?

Tip: When rounding numbers, always focus on the digit immediately to the right of the place value you’re rounding to. If it's 5 or higher, round up; if it's 4 or lower, round down.

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Math Problem Analysis

Mathematical Concepts

Rounding Numbers
Arithmetic Operations

Formulas

Rounding to the nearest 10s
Rounding to the nearest 100s
Rounding to the nearest 1000s

Theorems

Suitable Grade Level

Grades 4-6

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Math Problem Statement

Solution

a. 12,345−3,999=8,34612,345 - 3,999 = 8,34612,345−3,999=8,346

b. 2,10,325−12,367=1,97,9582,10,325 - 12,367 = 1,97,9582,10,325−12,367=1,97,958

c. 36,345−20,999=15,34636,345 - 20,999 = 15,34636,345−20,999=15,346

d. 1,42,345−1,39,099=3,2461,42,345 - 1,39,099 = 3,2461,42,345−1,39,099=3,246

e. 1,56,780+28,956=1,85,7361,56,780 + 28,956 = 1,85,7361,56,780+28,956=1,85,736

f. 1,12,456+34,544=1,47,0001,12,456 + 34,544 = 1,47,0001,12,456+34,544=1,47,000

g. 88,678+73,452=1,62,13088,678 + 73,452 = 1,62,13088,678+73,452=1,62,130

h. 1,45,567+65,745=2,11,3121,45,567 + 65,745 = 2,11,3121,45,567+65,745=2,11,312