Mathematics
Grade5
Easy

Question

Estimate the product: 9 × 223 =?

  1. 5 × 300 = 1,500    
  2. 5 × 241 = 1,205    
  3. 5 × 200 = 1,000    
  4. 10 × 200 = 2000    

hintHint:

The estimate math definition is a quick guess that is close enough to work with but is not necessarily accurate. Estimating products by rounding numbers to the nearest ten, hundred, thousand etc., we know how to estimate the sum, difference, etc., to the nearest 10, 100, 1000, etc. Now we have to estimate the products.

The correct answer is: 10 × 200 = 2000


    To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers. Estimate the product 9 × 223.
    9 × 223
    {9 is rounded up to 10, 223 is rounded down to 200}
    One number is rounded up and the other is rounded down. Here 9 is rounded up to the nearest tens, i. e., 10 while 223 is rounded down to the nearest hundred, i. e.,200
    10 × 200
    = 2000
    The estimated product of 9 × 223 is 2000.
    Or, In short way,
    Step1: 9 rounds to 10.
    Step2: 223 rounds to 200.
    Step3: Find 10 × 200.
    We know that 1 × 2 =2
    Step4: Add 3 zeros to get the estimated product.
    10 × 200 =2,000.

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