Number Sense Calculator

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Example

Created on 2024-06-20Asked by Mason Garcia (Solvelet student)

Estimate the value of

\sqrt{50}

using number sense.

Solution

To estimate the value of

\sqrt{50}

using number sense, follow these steps: 1. Identify perfect squares close to 50:

49 = 7^2 \quad \text{and} \quad 64 = 8^2.

2. Since

50

is closer to

49

, we can start with

\sqrt{50} \approx 7

. 3. Refine the estimate using the average of the perfect squares:

\sqrt{50} \approx 7 + \frac{50 - 49}{2 \times 7} = 7 + \frac{1}{14} \approx 7 + 0.071 = 7.071.

Therefore, the estimated value of

\sqrt{50}

is approximately

7.071

. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Owen Adams on Solvelet

1. Estimate the sum of 67 and 89 using number sense.2. Compare the sizes of fractions

\frac{3}{4}

and

\frac{5}{8}

using number sense.

DefinitionNumber sense means that you get a feel for numbers, what they mean and what they do when you change them around. It has properties like the power of estimation, the logic to find reasons, thoughts and patterns related to numbers. Example:Knowing that 49 is near 50, so 49 is near 7 (number sense)

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