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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

# I need help with this math ?

2 x (3.2x10^3 x 5.43x10^4). Calculate without using calculator

Relevance
• 1 month ago

2 × (3.2 × 10^3 × 5.43 × 10^4)

= 2 × (3,200 × 54,300)

= 2 × (162,900,000 + 10,860,000)

= 2 × 173,760,000

= 347,520,000

• 1 month ago

You have:

2 * (3.2 * 10³ * 5.43 * 10⁴)

Since everything is getting multiplied together, you can group the powers of 10 and group the others together:

2 * 3.2 * 5.43 * 10³ * 10⁴

The product of two numbers with the same base is the same as the sum of the exponents, so this simplifies to:

2 * 3.2 * 5.43 * 10⁷

Next, you'll need to brute-force the multiplication of the other three numbers.  2 * 3.2 is simple enough to do in your head:

6.4 * 5.43 * 10⁷

For the others, you will need to do some long multiplication.  This ends up being:

34.752 * 10⁷

Finally, if you need the answer in scientific notation, we need to break off a power of 10 from that number so it's less than 10:

3.4752 * 10¹ * 10⁷

And one more simplification:

3.4752 * 10⁸