what is a equivalent name for 57
The correct answer and explanation is:
An equivalent name for 57 is 50 + 7.
Explanation (300 words):
In mathematics, an equivalent name for a number is another way of representing the same value using different forms, such as addition, subtraction, multiplication, expanded form, word form, or place value representation. The goal is to maintain the same quantity while expressing it differently.
For the number 57, here are several equivalent names:
- Expanded form:
- 50 + 7 — This breaks the number into tens and ones, showing place value.
- Addition of smaller numbers:
- 30 + 27, 40 + 17, 20 + 37 — All these combinations add up to 57.
- Subtraction form:
- 60 − 3, 100 − 43, 70 − 13 — These are subtraction sentences equal to 57.
- Multiplication and addition:
- 5 × 10 + 7, or 3 × 19, though less obvious, still result in 57.
- In words:
- Fifty-seven — This is the word form of the number.
- Roman numerals:
- LVII — Roman numeral representation of 57 (L = 50, V = 5, II = 2).
These are all equivalent names because they represent the same quantity. This concept is widely taught in elementary math to help students understand number sense, place value, and how numbers relate to each other.
Using equivalent names can be helpful in mental math, solving equations, and understanding number structure. For example, breaking 57 into 50 + 7 might help when adding it to another number like 26, by doing (50 + 20) + (7 + 6) = 70 + 13 = 83.
In conclusion, 50 + 7 is a simple and clear equivalent name for 57, and learning multiple ways to express numbers enhances mathematical flexibility and understanding.