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APPROXIMATELY EQUAL TO

Approximately Equal To

Definition Of Approximately Equal To

If the values of two quantities, A and B, are approximately equal, then we can say that A is approximately equal to B, or vice versa.

More About Approximately Equal To

The symbol for 'approximately equal to' is ∼.

Examples of Approximately Equal To

img ∼ 1, as the numerator in the fraction is almost equal to the denominator; we can approximate it to 1. (or)

img ∼ 1 
img = 0.75, as the first digit to the right of the decimal point is greater than 5, round up the number to 1.
So, img ∼ 1.

Video Examples: Approximately Equal Common Core Math Standards Top Words

Solved Example Clockple on Approximate

Ques: Which of the following is approximately equal to img?

Choices:

A. 7
B. 9
C. 1
D. 0
Correct Answer: C

Solution:

Step 1: img [Original Expression.]
Step 2: img∼ 1 [Round to 1, if the numerator almost equals the denominator.]
Step 3: So, img ∼ 1.

Quick Summary

  • The symbol '∼' represents 'approximately equal to'.
  • Approximation is used when exact values are not necessary or practical.
  • Rounding can be used to approximate numbers.
\[ A \approx B \]

🍎 Teacher Insights

Use visual aids like number lines to demonstrate how close numbers need to be to be considered approximately equal. Emphasize the context in which approximation is useful, such as estimating costs or measurements.

🎓 Prerequisites

  • Equality
  • Fractions
  • Rounding

Check Your Knowledge

Q1: Which of the following is approximately equal to 8/9?

Frequently Asked Questions

Q: What does the symbol '∼' mean?
A: The symbol '∼' means 'approximately equal to'.

Q: When do we use approximately equal to?
A: We use approximately equal to when exact values are not necessary or when dealing with rounded numbers.

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