In this exercise, we are given a mixed number and a decimal.
- 4 610 ? - 4.65
To compare these numbers, we should make sure they are written in the same form. Let's then rewrite the mixed number as a decimal. To do so, we should first rewrite it as a fraction. Let's also ignore the negative sign for just a moment.
We found that 4 610 is equal to 46 10 when it is written as a fraction. This means that we actually want to find the quotient 46÷ 10. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!
We found that 4610 written as a decimal is 4.6. Since we previously found that 4 610 is equal to 4610, we can say that 4 610 written as a decimal is 4.6.
4 610= 4610=4.6
Therefore, - 4 610 is equal to - 4.6. Now that both numbers are written as decimals, we can graph them on a number line. Then we will compare which one is greater than the other.
On the number line, we can see that - 4.6 is to the right of - 4.65. This means that - 4.6 is greater than - 4.65. Because - 4 610 is equal to - 4.6, - 4 610 is also greater than - 4.65.
- 4.6 > - 4.65 ⇔ - 4 610 > - 4.65
