Question
5. Calculate the following and slate which properly (ies) Example: \( 44+55=55+44=99 \) a. \( 51+(19+46)= \) c. \( (9 \times 64)+(9 \times 36)= \) If \( 20 \times 5=100 \), then \( 100= \) e.
Ask by Bates Frank. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
a. \( 51 + (19 + 46) = 116 \)
c. \( (9 \times 64) + (9 \times 36) = 900 \)
e. \( 100 = 100 \)
Solution
Calculate or simplify the expression \( 51+(19+46) \).
Calculate the value by following steps:
- step0: Calculate:
\(51+\left(19+46\right)\)
- step1: Add the numbers:
\(51+65\)
- step2: Add the numbers:
\(116\)
Calculate or simplify the expression \( (9 \times 64)+(9 \times 36) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(9\times 64\right)+\left(9\times 36\right)\)
- step1: Multiply the numbers:
\(576+\left(9\times 36\right)\)
- step2: Multiply the numbers:
\(576+324\)
- step3: Add the numbers:
\(900\)
Calculate or simplify the expression \( 100 \).
Numbers by following steps:
- step0: Solution:
\(100\)
The calculations are as follows:
a. \( 51+(19+46) = 116 \)
c. \( (9 \times 64)+(9 \times 36) = 900 \)
e. If \( 20 \times 5 = 100 \), then \( 100 = 100 \)
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Beyond the Answer
51 + (19 + 46) = 51 + 65 = 116 19 + 46 = 65, thus \( 51 + 65 = 116 \) (9 × 64) + (9 × 36) = 9 × (64 + 36) = 9 × 100 = 900 Using the distributive property allows for easier calculation by factoring out the common multiple. If \( 20 \times 5 = 100 \), then \( 100 = 20 \times 5 \). This demonstrates the commutative property of multiplication where the order of factors can be switched without altering the product. e. If you're looking to explore further or need help with any calculation, remember that practice makes perfect!