1) the integer that is its own additive inverse is_____
2) multiplying the denominator of a fraction by 1/3 will give ____the value of the fraction.
3) The cost of 3/8 kg onions is ₹15. What is the cost of 1 kg of onions?
Answers
Answer:
1) The integer that is its own additive inverse is 0 (zero)
2) Multiplying the denominator of a fraction by 1/3 will give 3 times the value of the fraction.
3) The cost of 3/8 kg onions is ₹15. What is the cost of 1 kg of onions?
The cost 1 kg onions is Rs. 40
Step-by-step explanation:
1) The integer that its own additive inverse is 0
The additive inverse of a number, is a number in which when you add to the original number the answer is 0
If y is the additive inverse of x, the x+y = 0
Example: -7 is the additive inverse of 7
Therefore -7 + 7 = 0
0 is the additive inverse of itself since, 0 + 0 = 0
2) Multiplying the denominator of a fraction by 1/3 will give 3 times the value of the fraction.
Calculation:
1/9 when denominator is divided by 1/3 then, the answer will 3 times 1/9:
1/9 denominator divided by 1/3 ⇒ 1 / (9 × 1/3) = 1 / (9/3) = 1/3
1/3 = 1/9 × 3
Therefore a fraction when its denominator is multiplied by a 1/3, then the answer is 3 times the original fraction.
3) The cost of 3/8 kg onions is ₹15. What is the cost of 1 kg of onions?
The cost 1 kg onions is Rs. 40
If 3/8 kg = Rs . 15
Then 1 kg (8/8) = Rs. 15 × 8/8 kg × 8/3 kg
= Rs. 15 × 8/3 = 5 × 8
= Rs . 40
The price of 1 kg of onions thus is Rs. 40