Question

round the number to the nearest 1,000.
5,382,619
5,383,000
what is 37,493 decreased by 8,500?
find the product. draw an area model.
61
× 27

Explanation:

First Sub - Question: Round 5,382,619 to the nearest 1,000

Step1: Identify the digit in the thousands place

In the number 5,382,619, the digit in the thousands place is 2 (the number is grouped as 5,382,619, so the thousands digit is the third digit from the right in the non - decimal part, i.e., 2 in 5,382,619). The digit to the right of the thousands place (the hundreds place) is 6.

Step2: Apply the rounding rule

Since the digit in the hundreds place (6) is greater than or equal to 5, we round up the thousands place digit. So we add 1 to the thousands place digit (2 + 1 = 3) and change all the digits to the right of the thousands place to 0. So 5,382,619 rounded to the nearest 1,000 is 5,383,000.

Second Sub - Question: What is 37,493 decreased by 8,500?

Step1: Set up the subtraction operation

To find the result of decreasing 37,493 by 8,500, we perform the subtraction: \(37493-8500\).

Step2: Perform the subtraction

\(37493 - 8500=28993\).

Third Sub - Question: Find the product of 61 and 27 and draw an area model

Step1: Decompose the numbers

We can decompose 61 as \(60 + 1\) and 27 as \(20+7\).

Step2: Use the area model (distributive property)

The area of a rectangle with length \(60 + 1\) and width \(20 + 7\) is given by the sum of the areas of four smaller rectangles:

• Area of the rectangle with length 60 and width 20: \(60\times20 = 1200\)
• Area of the rectangle with length 60 and width 7: \(60\times7=420\)
• Area of the rectangle with length 1 and width 20: \(1\times20 = 20\)
• Area of the rectangle with length 1 and width 7: \(1\times7 = 7\)

Step3: Sum the areas

Now we sum up these four areas: \(1200+420 + 20+7=1647\). We can also calculate the product directly: \(61\times27=(60 + 1)\times27=60\times27+1\times27 = 1620+27 = 1647\).

Answer:

5,383,000