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Compare. Select >, <, or $=$ to make the sentence true. $\newline$ $8$ feet $?$ $2$ yards $1$ foot $\newline$ Choices: $\newline$ (A)> $\newline$ (B)< $\newline$ (C) $=$

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Convert, compare, add, and subtract mixed customary units

Full solution

Q. Compare. Select

>, <,

or

=

to make the sentence true.

\newline

8

feet

?

2

yards

1

foot

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to inches: Convert feet and yards to a common unit, inches, for easier comparison. $\newline$ $1$ foot $= 12$ inches, so $8$ feet $= 8 \times 12 = 96$ inches. $\newline$ $1$ yard $= 36$ inches, so $2$ yards $= 2 \times 36 = 72$ inches. $\newline$ $2$ yards $1$ foot $= 12$ $0$ inches $= 12$ $1$ inches $= 12$ $2$ inches.
Compare measurements: Compare the two measurements in inches. $\newline$ $96$ inches (from $8$ feet) and $84$ inches (from $2$ yards $1$ foot). $\newline$ Since $96$ inches is greater than $84$ inches, the correct symbol is >.

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