Match the consecutive integers, if the product of two consecutive integers: product is 210 | 14 and 15, -15 and -14 product is 132 | 11 and 12, -12 and -11
Understand the Problem
The question asks to match pairs of consecutive integers whose product equals a given number. We need to verify which pairs, when multiplied, result in 210 and 132 respectively.
Answer
$14 \times 15 = 210$ $11 \times 12 = 132$
Answer for screen readers
The consecutive integers whose product is 210 are 14 and 15. The consecutive integers whose product is 132 are 11 and 12.
Steps to Solve
- Test the pair 14 and 15
Multiply the two numbers together:
$14 \times 15 = 210$
- Test the pair 11 and 12
Multiply the two numbers together:
$11 \times 12 = 132$
- State the answer
The pairs of consecutive integers whose products are 210 and 132 are (14, 15) and (11, 12), respectively.
The consecutive integers whose product is 210 are 14 and 15. The consecutive integers whose product is 132 are 11 and 12.
More Information
Consecutive integers are integers that follow each other in order. The difference between consecutive integers is always 1.
Tips
A common mistake is to perform the multiplication incorrectly. Always double-check your work. Another mistake would be to assume a number is part of the solution without verifying it through multiplication.
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