Math  /  Numbers & Operations

QuestionLet's estimate 0.434×6.590.434 \times 6.59 by rounding each number to the place of its leftmost nonzero digit.
First round 0.434 to the nearest tenth. 0.434 rounds to \square Now round 6.59 to the nearest one. 6.59 rounds to \square Multiply the rounded numbers. \square

Studdy Solution

STEP 1

1. The problem involves approximating the product of two decimal numbers by rounding.
2. Each number will be rounded to the place of its leftmost nonzero digit.
3. The final result will be the product of these rounded numbers.

STEP 2

1. Round 0.434 to the nearest tenth.
2. Round 6.59 to the nearest whole number (one).
3. Multiply the rounded numbers to get the estimated product.

STEP 3

Round 0.434 to the nearest tenth.
To round 0.434 to the nearest tenth, we look at the digit in the hundredths place (3). Since it is less than 5, we round down. 0.4340.4 0.434 \approx 0.4

STEP 4

Round 6.59 to the nearest whole number.
To round 6.59 to the nearest whole number, we look at the digit in the tenths place (5). Since it is 5 or greater, we round up. 6.597 6.59 \approx 7

STEP 5

Multiply the rounded numbers.
0.4×7=2.8 0.4 \times 7 = 2.8
The estimated product of 0.434×6.590.434 \times 6.59 by rounding each number to the place of its leftmost nonzero digit is 2.82.8.

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