Question

estimate the product.
model 2,971×312 → 3,000×300 = 900,000

1. 4,912×689
2. 2,115×437
3. 2,973×7,992

Explanation:

Problem 1: \( 4,912 \times 689 \)

Step1: Round each number

Round \( 4,912 \) to the nearest thousand, which is \( 5,000 \). Round \( 689 \) to the nearest hundred, which is \( 700 \).

Step2: Multiply the rounded numbers

\( 5,000 \times 700 = 3,500,000 \)

Step1: Round each number

Round \( 2,115 \) to the nearest thousand, which is \( 2,000 \). Round \( 437 \) to the nearest hundred, which is \( 400 \).

Step2: Multiply the rounded numbers

\( 2,000 \times 400 = 800,000 \)

Step1: Round each number

Round \( 2,973 \) to the nearest thousand, which is \( 3,000 \). Round \( 7,992 \) to the nearest thousand, which is \( 8,000 \).

Step2: Multiply the rounded numbers

\( 3,000 \times 8,000 = 24,000,000 \)

Answer:

\( 3,500,000 \)

Problem 2: \( 2,115 \times 437 \)