- Ordering Rounding and Order of Operations
- Home
- Introduction to Inequalities
- Comparing a Numerical Expression With a Number
- Ordering Large Numbers
- Rounding to Tens or Hundreds
- Rounding to Hundreds or Thousands
- Rounding to Thousands, Ten Thousand, or Hundred Thousand
- Estimating a Sum of Whole Numbers
- Estimating a Difference of Whole Numbers
- Estimating a Product of Whole Numbers
- Estimating a Quotient of Whole Numbers
- Writing Expressions Using Exponents
- Introduction to Exponents
- Power of 10: Positive Exponent
- Power of 10: Negative Exponent
- Introduction to Parentheses
- Comparing Numerical Expressions With Parentheses
- Introduction to Order of Operations
- Order of Operations With Whole Numbers
- Order of Operations With Whole Numbers and Grouping Symbols
- Order of Operations With Whole Numbers and Exponents: Basic

The whole numbers are first rounded as specified, i.e., rounded to the nearest ten, hundred and so on. Then the product of the rounded whole numbers is found to **estimate** the product of whole numbers.

Estimate the product 573 × 94 by first rounding each number so that it has only one non-zero digit.

**Step 1:**

We round each number such that it has only one non-zero digit

573 is a three-digit number. So its first digit is going to be the only non-zero digit and the other two digits would be zeros. It means rounding to nearest hundred. Since the tens digit, 7 is greater than 5, we round up 57󠄀3 to 600.

**Step 2:**

94 is a two-digit number. Its first digit is going to be the only non-zero digit and the other digit would be zero. It means rounding to nearest ten. Since the ones digit, 4 is less than 5, we round down 94 to 90.

**Step 3:**

The estimate of the product after rounding

= 600 × 90 = 54,000

Estimate the product 2092 × 167 by first rounding each number so that it has only one non-zero digit.

**Step 1:**

We round each number such that it has only one non-zero digit

2092 is a four-digit number. So its first digit is going to be the only non-zero digit and the other three digits would be zeros. It means rounding to nearest thousand. Since the hundreds digit, 0 is less than 5, we round down 2092 to 2000.

**Step 2:**

167 is a three-digit number. Its first digit is going to be the only non-zero digit and the other two digits would be zero. It means rounding to nearest hundred. Since the tens digit, 6 is greater than 5, we round up 167󠄀 to 200.

**Step 3:**

The estimate of the product after rounding

= 2000 × 200 = 400,000

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