Estimate products – multiply by larger numbers

  • Definition: Estimation is finding an approximate value rather than an exact number.
  • Purpose: Helps in making quick calculations and understanding if an answer is reasonable.
  • Rounding: To simplify multiplication, round numbers to the nearest ten, hundred, or thousand.
  • Examples:
    • Round 48 to 50: For 48 × 6, estimate 50 × 6 = 300.
    • Round 235 to 200: For 235 × 4, estimate 200 × 4 = 800.
  • Definition: Numbers that are easy to multiply mentally.
  • Examples:
    • Round 49 to 50 and 8 to 10: For 49 × 8, estimate 50 × 10 = 500.
  • Break Down Numbers: Use smaller, easier-to-multiply numbers.
    • Example: For 27 × 8, break it into (20 × 8) + (7 × 8) = 160 + 56 = 216.
  • Use Multiples of 10: If multiplying by 10, 20, etc., adjust the numbers accordingly.
    • Example: For 32 × 20, estimate 30 × 20 = 600.
  • Check Reasonableness: After estimating, compare with the actual product to see if it makes sense.
  • Examples:
    • For 58 × 9: Estimate 60 × 10 = 600.
    • For 134 × 5: Estimate 130 × 5 = 650.

67 × 48

Round the first factor to the nearest ten.

67 × 48 = ?
70 × 48 = ?

Round the second factor to the nearest ten.

70 × 48 = ?
70 × 50 = ?

Now multiply:

70 × 50 = 3,500

The product is approximately 3,500.

Compare your estimate to the exact answer:

67 × 48 = 3,216

77 × 41

Round the first factor to the nearest ten.

77 × 41 = ?
80 × 41 = ?

Round the second factor to the nearest ten.

80 × 41 = ?
80 × 40 = ?

Now multiply:

80 × 40 = 3,200

The product is approximately 3,200.

Compare your estimate to the exact answer:

77 × 41 = 3,157

93 × 68

Round the first factor to the nearest ten.

93 × 68 = ?
90 × 68 = ?

Round the second factor to the nearest ten.

90 × 68 = ?
90 × 70 = ?

Now multiply:

90 × 70 = 6,300

The product is approximately 6,300.

Compare your estimate to the exact answer:

93 × 68 = 6,324

Let’s practice!🖊️