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Three times the first of three consecutive odd integers is three more than the twice and the third What is the average of the three integers?
Let the first of the three odd consecutive integers be x, so that the second of these integers would be x + 2, and the third one would be x + 4. We have: 3x = 2[(x + 2)+ (x + 4)] + 3 3x = 2(2x + 6) +3 3x = 4x + 12 + 3 (subtract 4x to both sides) -x = 15 (multiply by -1 to both sides) x = -15 (the first one) So the integers are -15, -13, and -11. The average of those integers is (-15 + -13 + -11)/2 = -39/2 = -19.5.
What are the rules for multiplying two integers?
When multiplying two integers, the product follows these basic rules: If both integers have the same sign (either both positive or both negative), the product is positive. If the integers have different signs (one positive and one negative), the product is negative. For example, (3 \times 4 = 12) (positive) and (-3 \times -4 = 12) (positive), while (3 \times -4 = -12) (negative).
What are the rules to multiply and divide integers?
When multiplying or dividing integers, the following rules apply: If both integers have the same sign (both positive or both negative), the result is positive. If the integers have different signs (one positive and one negative), the result is negative. For example, (3 \times 4 = 12) and (-3 \times -4 = 12) yield positive results, while (3 \times -4 = -12) and (-3 \times 4 = -12) yield negative results. These rules apply equally to division.
Are positive numbers are integers?
No. you could have, for example, -4 or 4 (or any other minus or positive number). Both are integers.
Are integers always positive numbers?
No. you could have, for example, -4 or 4 (or any other minus or positive number). Both are integers.
Is negative 6 and 12 divided by 4 both integers?
No.
When is the product of two integers a positive?
The product of two integers is positive when both integers are either positive or both are negative. For example, multiplying 3 (positive) by 4 (positive) yields 12, while multiplying -3 (negative) by -4 (negative) also results in 12. In contrast, if one integer is positive and the other is negative, the product will be negative.
Whats the answer to Find three consecutive even integers such that the sum of the smallest and twice the second is 20 more than the third?
Let the smallest integer be x. Since the consecutive even integers differ by 2, we havex + 2(x + 2) = (x + 4) + 203x + 4 = x + 24 (subtract x and 4 from both sides)3x - x - 4 + 4 = x - x - 4 + 242x = 20 (divide by 2 to both sides)x = 10Thus, the three consecutive even integers are 10, 12, and 14.
How many integers have an absolute value of 4?
There are two integers that have an absolute value of 4: 4 and -4. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, both integers satisfy the condition of having an absolute value of 4.
Are integers positive numbers?
No. you could have, for example, -4 or 4 (or any other minus or positive number). Both are integers.
What are the 6 consecutive integers starting with -4?
The six consecutive integers starting with -4 are -4, -3, -2, -1, 0, and 1. These integers follow one another in order, increasing by one for each subsequent number.
If 12 consecutive even integers and the least number is -4 what is the range?
Start from the last integer. Subtract 2 from it, to get the second-last. Subtract 2 from that one, to get the third-last, etc.
