Math  /  Numbers & Operations

QuestionEstimate the sum by rounding each number to the nearest hundred thousand and then adding. 983,123+989,514983,123+989,514
The sum is approximately \square

Studdy Solution

STEP 1

What is this asking? We need to round two big numbers to the nearest hundred thousand and then add them together. Watch out! Don't round to the nearest ten thousand or million!
We're focusing on the *hundred* thousands place.

STEP 2

1. Round the first number.
2. Round the second number.
3. Add the rounded numbers.

STEP 3

Let's look at our first magnificent number, 983,123983,123.
We want to round it to the nearest hundred thousand.
The hundred thousands place is the 99.

STEP 4

To the right of the hundred thousands place is the ten thousands place, which has an 88.
Since 88 is greater than or equal to 55, we **round up** the hundred thousands digit.

STEP 5

Rounding up the 99 in the hundred thousands place bumps it up to 1010, which carries over to the millions place, giving us 1,000,0001,000,000!
So, 983,123983,123 rounded to the nearest hundred thousand is **1,000,0001,000,000**.

STEP 6

Now, let's work our magic on the second number, 989,514989,514.
We're still rounding to the nearest hundred thousand, so we look at the hundred thousands place, which is a 99.

STEP 7

Looking to the right, we see an 88 in the ten thousands place.
Since 88 is greater than or equal to 55, we **round up** again!

STEP 8

Rounding up the 99 in the hundred thousands place gives us 1010, which carries over to the millions place.
So, 989,514989,514 rounded to the nearest hundred thousand is also **1,000,0001,000,000**.

STEP 9

Time to add our rounded numbers!
We have 1,000,0001,000,000 and 1,000,0001,000,000.

STEP 10

1,000,000+1,000,000=2,000,0001,000,000 + 1,000,000 = 2,000,000

STEP 11

The sum is approximately 2,000,0002,000,000.

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