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Write
> , <, or
= in the square to the statement true.

(368 ×19)-24 □ (368 ×19)

Write $>$ , $<$ , or $=$ in the square to the statement true. $\newline$ $(368 \times 19)-24$ $\square$ $(368 \times 19)$ $\newline$

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Estimate products of fractions and whole numbers

Full solution

Q. Write

>

,

<

, or

=

in the square to the statement true.

\newline

(368 \times 19)-24

\square

(368 \times 19)

\newline

Calculate Resulting Values: Calculate $(368 \times 19) - 24$ and $(368 \times 19) \div 14$ . $\newline$ - Calculation: $(368 \times 19) - 24 = 6992 - 24 = 6968$ . $\newline$ - Calculation: $(368 \times 19) \div 14 = 6992 \div 14 \approx 499.43$ . $\newline$ - Comparison: $6968 > 499.43$ .
Determine Relational Operator: Determine the relational operator for the first part of the problem. $\newline$ - Since $6968$ is greater than $499.43$ , the correct operator is $>$ .
Solve Expression with Parentheses: Solve the expression $7 + 6 \times 14 - 9 = 37$ by inserting parentheses. $\newline$ - Original calculation without parentheses: $7 + (6 \times 14) - 9 = 7 + 84 - 9 = 82$ . $\newline$ - To make it equal $37$ , rearrange with parentheses: $(7 + 6) \times (14 - 9) = 13 \times 5 = 65$ . $\newline$ - Incorrect result, retry: $7 + (6 \times (14 - 9)) = 7 + (6 \times 5) = 7 + 30 = 37$ .

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