Answered

Find answers to your questions faster and easier with IDNLearn.com. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Evaluate the numerical expression and match to its value.

21
13
8.96
896
20.9
20.27
27.4

[tex]$5.6 \div 2^3 + (12.75 + 7.45)$[/tex]

[tex]$4^3 \times (0.6 + 3.6) \div 0.3$[/tex]

Sagot :

GinnyAnsweridn
Let's break down the evaluation of each numerical expression step by step.

1. Expression 1: [tex]\( 5.6 \div 2^3 + (12.75 + 7.45) \)[/tex]

- Start by evaluating the exponent: [tex]\( 2^3 = 8 \)[/tex].
- Next, perform the division: [tex]\( 5.6 \div 8 = 0.7 \)[/tex].
- Inside the parentheses, add the numbers: [tex]\( 12.75 + 7.45 = 20.2 \)[/tex].
- Finally, add the results together: [tex]\( 0.7 + 20.2 = 20.9 \)[/tex].

Therefore, the value of [tex]\( 5.6 \div 2^3 + (12.75 + 7.45) \)[/tex] is 20.9.

2. Expression 2: [tex]\( 4^3 \times (0.6 + 3.6) \div 0.3 \)[/tex]

- Start by evaluating the exponent: [tex]\( 4^3 = 64 \)[/tex].
- Inside the parentheses, add the numbers: [tex]\( 0.6 + 3.6 = 4.2 \)[/tex].
- Next, perform the multiplication: [tex]\( 64 \times 4.2 = 268.8 \)[/tex].
- Finally, perform the division: [tex]\( 268.8 \div 0.3 = 896 \)[/tex].

Therefore, the value of [tex]\( 4^3 \times (0.6 + 3.6) \div 0.3 \)[/tex] is 896.

Matching the expressions with their values, we get:

- [tex]\( 5.6 \div 2^3 + (12.75 + 7.45) \)[/tex] matches with 20.9.
- [tex]\( 4^3 \times (0.6 + 3.6) \div 0.3 \)[/tex] matches with 896.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.