Question

Which of the number sentence is true?Justify with reasons. 3/10 of 50 = 50% of 3 3% of 50 = 6% 100 50 divide by 30 = 30 divide by 50 3/10 multiply by 50 = 5/10 multiply by 30

Answer 1

The true number sentence is 3/10 multiplied by 50 equals 5/10 multiplied by 30, as both expressions simplify to the same result, 15.

Step-by-step explanation:

When evaluating which number sentence is true and justifying the reasons, we need to convert the given expressions into comparable forms or calculate them to see if the statements are equal.

• 3/10 of 50 is calculated by multiplying 3/10 by 50, which equals 15.
• 50% of 3 is calculated by taking 50/100 (which is the decimal equivalent of 50%) and multiplying it by 3, which also equals 1.5.
• 3% of 50 can be calculated as 3/100 times 50, which equals 1.5.
• To verify if 3% of 50 equals 6% of 100, we calculate 6/100 times 100, which equals 6.
• 50 divided by 30 does not equal 30 divided by 50 as division is not a commutative operation. These operations are reciprocals of each other.
• 3/10 multiplied by 50 can be simplified to 15, and 5/10 multiplied by 30 simplifies to 15. Both expressions yield the same result, so this number sentence is true.

Through comparison and calculation, the true number sentence is 3/10 multiplied by 50 equals 5/10 multiplied by 30.

Answer 2

True: 3% of 50 = 6% of 100
50/100 = 1/2 3/6 = 1/2