Emma is 14 feet from a gate, while Noah is 206 inches from it. Who is closer to the gate?
So we have Emma, a gate, and Noah. Our question tells us that Emma is 14 feet from the gate and that Noah is 206 inches from the gate. To find out who is closer, we’ll have to measure both distances with the same units. This means we can turn Emma’s distance from feet to inches or we can turn Noah’s distance from inches to feet.
Let’s start with Emma. 14 feet equals how many inches? Feet is a larger unit than inches. That means if we’re moving from feet to inches, we’re going to need to multiply. We remember that one foot equals 12 inches. That means we need to multiply the 14 feet that Emma was standing away from the gate by 12 inches in every foot.
14 times 12, we start all the way on the right. Two times four equals eight. Moving on to the tens place, two times one equals two. We’ll go back to our ones place. This time we’ll multiply one times four, which equals four. And finally, one times one equals one. Then, we add these two values together. Eight plus zero is eight, two plus four is six, zero plus one is one.
14 feet equals 168 inches. Emma is standing 168 inches from the gate. Noah is standing 206 inches from the gate. Who is closer to the gate? Emma is closer to the gate. 14 feet — 168 inches — is less than 206 inches. That makes Emma closer.